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 Pinnacle  Day: 71st - 75th  Profit and Loss 
 Profit and Loss 
 1.  Pro?t incurs when SP (selling price) is 
 more than CP (cost price). 
 2.  Pro?t =  SP – CP 
 3.  Loss incurs when CP is more than SP 
 i.e. Loss = CP – SP 
 4.  % Pro?t = 
 ???????????? 
 ???? 
    ×     100 
 5.  % Loss = 
 ???????? 
 ???? 
    ×     100 
 6.  Pro?t or Loss is always calculated on 
 cost price. 
 7.  ???? = ????     ×    
 100        ±        ????????????     /     ????????     % 
 100 
 8.  ???? = ????     ×    
 100 
 100        ±        ????????????  /  ????????     % 
 Note:  In  case  of  pro?t  you  must  add  and 
 in  case  of  loss  subtract  in  above  two 
 formulas. 
 9.  When  instead  of  amount,  number  of 
 goods sold are given then, 
 Percentage pro?t 
 = 
 ??????????????????     ?????????? 
 ??????????     ???????? 
 ×     100 
 10.  When  two  products  are  sold  at  same 
 selling  price,  one  at  a  loss  of  %  and  ?? 
 other  at  a  pro?t  of  %  then  net  result  is  ?? 
 always loss, which is equal to : 
 Net result =  (  )% 
 ?? 
 2 
 100 
 11.  When  two  products  are  sold  at  same 
 selling  price,  one  at  a  loss/pro?t  of  %  ?? 
 and  other  at  a  loss/pro?t  of  %  then  net  ?? 
 result is equal to : 
 Net result =  {  }% 
 100 ( ??    +    ?? )   +    2  ???? 
 200    +    ??    +    ?? 
 Note :-  Take  +ve sign  Pro?t  and ?
 -ve sign  Loss ?
 12.  Marked  Price  -  Discount  =  Selling 
 Price 
 13.  Discount  is  always  calculated  on 
 Marked price. So, Discount % 
 = 
 ????????????????    
 ????????????     ?????????? 
 ×     100 
 14.  In  case  of  Trade  Discount  and  Cash 
 Discount,  ?rst  deduct  the  Trade  Discount 
 and  then  calculate  the  Cash  Discount  on 
 the remaining amount. 
 15.  If  a  trader  profess  to  sell  goods  at 
 cost price but uses false weights, then 
 Pro?t percentage 
 =  , 
 ?????????? 
 ????????     ??????????    -    ?????????? 
 ×     100 
 where Error = True value - False value 
 16.  = 
 ???? 
 ???? 
    100    -    ????????????????     % 
 100        ±        ????????????     /     ????????     % 
 Variety Questions 
 Q.1.  A  sells  a  watch  to  B  at  a  pro?t  of 
 33%  and  B  sells  it  to  C  at  a  loss  of  20%.  If 
 C pays ?532, then what was the cost 
 price for A? 
 SSC CHSL Tier II  10/01/2024 
 (a) ?500   (b) ?800   (c) ?400   (d) ?600 
 Q.2.  B  purchased  15  kg  apples  at  the  rate 
 of  ?180  per  kg  from  a  wholesaler  who 
 uses  a  weight  of  950  grams  for  the  kg 
 weight.  B  sold  all  these  apples  at  ?180 
 per  kg  but  used  a  weight  of  750  grams 
 for  the  kg  weight.  Find  the  percentage 
 pro?t  earned  by  B  in  the  transaction 
 (correct to 2 places of decimal). 
 SSC CGL Tier II  (26/10/2023) 
 (a) 22.55%  (b) 25.75% 
 (c) 33.33%  (d) 26.67% 
 Q.3.  Aditya  sold  article  X  at  a  pro?t  of 
 23%  and  article  Y  at  a  loss  of  13%.  He 
 earned  a  pro?t  of  ?180  in  the  entire 
 transaction.  If  article  X  costs  ?90  less 
 than  article  Y,  then  what  is  the  price  of 
 article Y (in ? )? 
 SSC CPO 03/10/2023 (3rd Shift) 
 (a) 2,007 (b) 2,050 (c) 2,100 (d) 2,020 
 Q.4.  Arun  brought  50  kg  of  rice  at  a 
 discount  of  15%  on  the  marked  price.  For 
 purchasing  bulk  quantity,  he  was  given  5 
 kg  of  wheat  (the  marked  price  of  which 
 was  60%  the  marked  price  of  rice)  free  of 
 cost.  Had  the  retailer  sold  both  items  at 
 their  marked  price  to  his  other 
 customers,  then  approximately  what 
 would  be  the  pro?t  percentage  that  the 
 shopkeeper could earn ? 
 SSC CHSL 14/08/2023 (1st Shift) 
 (a) 24.7% (b) 25.2% (c) 22.8% (d) 23.5% 
 Q.5.  A  fruit  seller  buys  480  bananas  for 
 ?1,200.  Some  of  these  bananas  are 
 rotten  and  hence,  they  are  thrown  away. 
 He  sells  the  remaining  bananas  at  ?3.5 
 each  and  makes  a  pro?t  of  ?396.  What  is 
 the percentage of bananas thrown away? 
 SSC CHSL 11/08/2023 (4th Shift) 
 (a) 6%  (b) 4.5 %  (c) 5 %      (d) 4 % 
 Q.6.  A  tailor  buys  lining  clothes  from  a 
 wholesale  merchant  and  cheats  him  by 
 using  a  measurement  tape  which  is  5  cm 
 longer  than  the  normal  tape.  The  tailor 
 offers  the  customers  at  cost  price  while 
 stitching  different  garments  and  uses 
 measurements  tape  which  is  5  cm 
 shorter than the normal tape. The gain 
 percent is: 
 SSC CHSL 03/08/2023 (3rd Shift) 
 (a) 15%  (b)  %  (c) 10%  (d)  %  10 
 10 
 25 
 10 
 10 
 19 
 Q.7.  Rini  has  mixed  two  colours  '  '  and  '  ?? 
 1 
 '  in  the  ratio  2  :  3.  If  the  rate  of  the  ?? 
 2 
 colour  '  '  is  ?500  per  unit  and  she  is  ?? 
 1 
 selling  the  mixture  of  the  two  colours  at 
 ?650  per  unit  at  breakeven  price,  then 
 what  is  the  rate  (in  ?)  per  unit  of  the 
 second colour, that is, '  '?  ?? 
 2 
 SSC CGL 27/07/2023 (1st shift) 
 (a) 750  (b) 725  (c) 760  (d) 765 
 Q.8.  A  shopkeeper  purchased  1600 
 mangos  at  the  rate  of  ?120  per  dozen. 
 Out  of  these,  he  sold  900  mangoes  at 
 ?15  per  mango  and  the  remaining 
 mangoes  at  ?14  per  mango.  His  gain 
 percentage is: 
 SSC CGL 25/07/2023 (4th shift) 
 (a) 45.625%  (b) 38.265% 
 (c) 35.625%  (d) 48.765% 
 Q.9.  A  shopkeeper  bought  a  certain 
 number  of  apples  for  Rs.3,600.  He  sold 
 one  -  ?fth  of  them  at  a  loss  of  10%, 
 one-fourth  of  the  remaining  apples  at  a 
 loss  of  5%,  and  two-third  of  the  rest  at  a 
 pro?t  of  15%.  At  what  price  (in  Rs.) 
 should  he  sell  the  remaining  apples  to 
 earn a pro?t of 27% overall? 
 SSC CGL 25/07/2023 (1st shift) 
 (a) 1,548  (b) 1,584  (c) 1,845  (d) 1,864 
 Q.10.  A  retailer  announces  a  discount  of 
 30%  for  selling  an  air-conditioner  marked 
 at  92,000.  The  cost  price  of  the  ? 
 air-conditioner  is  70%  below  the  marked 
 price.  He  offers  a  further  discount  of  20% 
 if  the  buyer  presents  his  membership 
 card  of  the  retailer's  store.  The  pro?t  of 
 the  retailer  with  the  membership  card 
 scheme  is  what  percentage  of  the  pro?t 
 of  the  retailer  without  the  membership 
 card scheme? 
 SSC CGL 20/07/2023 (3rd shift) 
 (a) 62%    (b) 65%    (c) 70%    (d) 74% 
 Q.11.  A  shopkeeper  is  incurring  a  loss  of 
 cost  price  of  4  pens  while  selling  20  pens 
 to  Ajay.  If  the  shopkeeper  had  purchased 
 20  pens  at  10%  less  price  and  had  sold 
 20  pens  to  Ajay  at  25%  more  than  the 
 selling  price,  then  how  much  percentage 
 would  he  have  gained  (rounded  off  to  1 
 decimal place)? 
 Graduate Level 28/06/2023 (Shift - 3) 
 (a) 8.0  (b) 11.1  (c) 10.0     (d) 12.5 
 Q.12.  Ten  refrigerators  and  four  mobile 
 phones  together  cost  ?2,10,000  while  six 
 refrigerators  and  two  mobile  phones 
 together  cost  ?1,22,000.  The  cost  (in  ?) 
 of one refrigerator and two mobile 
 phones is: 
 SSC CHSL Tier II (26/06/2023) 
 (a) 37000  (b) 35200 
 (c) 34500  (d) 36000 
 Q.13.  Mukesh  sells  two  shirts.  The  cost 
 price  of  the  ?rst  shirt  is  equal  to  the 
 selling  price  of  the  second  shirt.  The  ?rst 
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Page 2


 Pinnacle  Day: 71st - 75th  Profit and Loss 
 Profit and Loss 
 1.  Pro?t incurs when SP (selling price) is 
 more than CP (cost price). 
 2.  Pro?t =  SP – CP 
 3.  Loss incurs when CP is more than SP 
 i.e. Loss = CP – SP 
 4.  % Pro?t = 
 ???????????? 
 ???? 
    ×     100 
 5.  % Loss = 
 ???????? 
 ???? 
    ×     100 
 6.  Pro?t or Loss is always calculated on 
 cost price. 
 7.  ???? = ????     ×    
 100        ±        ????????????     /     ????????     % 
 100 
 8.  ???? = ????     ×    
 100 
 100        ±        ????????????  /  ????????     % 
 Note:  In  case  of  pro?t  you  must  add  and 
 in  case  of  loss  subtract  in  above  two 
 formulas. 
 9.  When  instead  of  amount,  number  of 
 goods sold are given then, 
 Percentage pro?t 
 = 
 ??????????????????     ?????????? 
 ??????????     ???????? 
 ×     100 
 10.  When  two  products  are  sold  at  same 
 selling  price,  one  at  a  loss  of  %  and  ?? 
 other  at  a  pro?t  of  %  then  net  result  is  ?? 
 always loss, which is equal to : 
 Net result =  (  )% 
 ?? 
 2 
 100 
 11.  When  two  products  are  sold  at  same 
 selling  price,  one  at  a  loss/pro?t  of  %  ?? 
 and  other  at  a  loss/pro?t  of  %  then  net  ?? 
 result is equal to : 
 Net result =  {  }% 
 100 ( ??    +    ?? )   +    2  ???? 
 200    +    ??    +    ?? 
 Note :-  Take  +ve sign  Pro?t  and ?
 -ve sign  Loss ?
 12.  Marked  Price  -  Discount  =  Selling 
 Price 
 13.  Discount  is  always  calculated  on 
 Marked price. So, Discount % 
 = 
 ????????????????    
 ????????????     ?????????? 
 ×     100 
 14.  In  case  of  Trade  Discount  and  Cash 
 Discount,  ?rst  deduct  the  Trade  Discount 
 and  then  calculate  the  Cash  Discount  on 
 the remaining amount. 
 15.  If  a  trader  profess  to  sell  goods  at 
 cost price but uses false weights, then 
 Pro?t percentage 
 =  , 
 ?????????? 
 ????????     ??????????    -    ?????????? 
 ×     100 
 where Error = True value - False value 
 16.  = 
 ???? 
 ???? 
    100    -    ????????????????     % 
 100        ±        ????????????     /     ????????     % 
 Variety Questions 
 Q.1.  A  sells  a  watch  to  B  at  a  pro?t  of 
 33%  and  B  sells  it  to  C  at  a  loss  of  20%.  If 
 C pays ?532, then what was the cost 
 price for A? 
 SSC CHSL Tier II  10/01/2024 
 (a) ?500   (b) ?800   (c) ?400   (d) ?600 
 Q.2.  B  purchased  15  kg  apples  at  the  rate 
 of  ?180  per  kg  from  a  wholesaler  who 
 uses  a  weight  of  950  grams  for  the  kg 
 weight.  B  sold  all  these  apples  at  ?180 
 per  kg  but  used  a  weight  of  750  grams 
 for  the  kg  weight.  Find  the  percentage 
 pro?t  earned  by  B  in  the  transaction 
 (correct to 2 places of decimal). 
 SSC CGL Tier II  (26/10/2023) 
 (a) 22.55%  (b) 25.75% 
 (c) 33.33%  (d) 26.67% 
 Q.3.  Aditya  sold  article  X  at  a  pro?t  of 
 23%  and  article  Y  at  a  loss  of  13%.  He 
 earned  a  pro?t  of  ?180  in  the  entire 
 transaction.  If  article  X  costs  ?90  less 
 than  article  Y,  then  what  is  the  price  of 
 article Y (in ? )? 
 SSC CPO 03/10/2023 (3rd Shift) 
 (a) 2,007 (b) 2,050 (c) 2,100 (d) 2,020 
 Q.4.  Arun  brought  50  kg  of  rice  at  a 
 discount  of  15%  on  the  marked  price.  For 
 purchasing  bulk  quantity,  he  was  given  5 
 kg  of  wheat  (the  marked  price  of  which 
 was  60%  the  marked  price  of  rice)  free  of 
 cost.  Had  the  retailer  sold  both  items  at 
 their  marked  price  to  his  other 
 customers,  then  approximately  what 
 would  be  the  pro?t  percentage  that  the 
 shopkeeper could earn ? 
 SSC CHSL 14/08/2023 (1st Shift) 
 (a) 24.7% (b) 25.2% (c) 22.8% (d) 23.5% 
 Q.5.  A  fruit  seller  buys  480  bananas  for 
 ?1,200.  Some  of  these  bananas  are 
 rotten  and  hence,  they  are  thrown  away. 
 He  sells  the  remaining  bananas  at  ?3.5 
 each  and  makes  a  pro?t  of  ?396.  What  is 
 the percentage of bananas thrown away? 
 SSC CHSL 11/08/2023 (4th Shift) 
 (a) 6%  (b) 4.5 %  (c) 5 %      (d) 4 % 
 Q.6.  A  tailor  buys  lining  clothes  from  a 
 wholesale  merchant  and  cheats  him  by 
 using  a  measurement  tape  which  is  5  cm 
 longer  than  the  normal  tape.  The  tailor 
 offers  the  customers  at  cost  price  while 
 stitching  different  garments  and  uses 
 measurements  tape  which  is  5  cm 
 shorter than the normal tape. The gain 
 percent is: 
 SSC CHSL 03/08/2023 (3rd Shift) 
 (a) 15%  (b)  %  (c) 10%  (d)  %  10 
 10 
 25 
 10 
 10 
 19 
 Q.7.  Rini  has  mixed  two  colours  '  '  and  '  ?? 
 1 
 '  in  the  ratio  2  :  3.  If  the  rate  of  the  ?? 
 2 
 colour  '  '  is  ?500  per  unit  and  she  is  ?? 
 1 
 selling  the  mixture  of  the  two  colours  at 
 ?650  per  unit  at  breakeven  price,  then 
 what  is  the  rate  (in  ?)  per  unit  of  the 
 second colour, that is, '  '?  ?? 
 2 
 SSC CGL 27/07/2023 (1st shift) 
 (a) 750  (b) 725  (c) 760  (d) 765 
 Q.8.  A  shopkeeper  purchased  1600 
 mangos  at  the  rate  of  ?120  per  dozen. 
 Out  of  these,  he  sold  900  mangoes  at 
 ?15  per  mango  and  the  remaining 
 mangoes  at  ?14  per  mango.  His  gain 
 percentage is: 
 SSC CGL 25/07/2023 (4th shift) 
 (a) 45.625%  (b) 38.265% 
 (c) 35.625%  (d) 48.765% 
 Q.9.  A  shopkeeper  bought  a  certain 
 number  of  apples  for  Rs.3,600.  He  sold 
 one  -  ?fth  of  them  at  a  loss  of  10%, 
 one-fourth  of  the  remaining  apples  at  a 
 loss  of  5%,  and  two-third  of  the  rest  at  a 
 pro?t  of  15%.  At  what  price  (in  Rs.) 
 should  he  sell  the  remaining  apples  to 
 earn a pro?t of 27% overall? 
 SSC CGL 25/07/2023 (1st shift) 
 (a) 1,548  (b) 1,584  (c) 1,845  (d) 1,864 
 Q.10.  A  retailer  announces  a  discount  of 
 30%  for  selling  an  air-conditioner  marked 
 at  92,000.  The  cost  price  of  the  ? 
 air-conditioner  is  70%  below  the  marked 
 price.  He  offers  a  further  discount  of  20% 
 if  the  buyer  presents  his  membership 
 card  of  the  retailer's  store.  The  pro?t  of 
 the  retailer  with  the  membership  card 
 scheme  is  what  percentage  of  the  pro?t 
 of  the  retailer  without  the  membership 
 card scheme? 
 SSC CGL 20/07/2023 (3rd shift) 
 (a) 62%    (b) 65%    (c) 70%    (d) 74% 
 Q.11.  A  shopkeeper  is  incurring  a  loss  of 
 cost  price  of  4  pens  while  selling  20  pens 
 to  Ajay.  If  the  shopkeeper  had  purchased 
 20  pens  at  10%  less  price  and  had  sold 
 20  pens  to  Ajay  at  25%  more  than  the 
 selling  price,  then  how  much  percentage 
 would  he  have  gained  (rounded  off  to  1 
 decimal place)? 
 Graduate Level 28/06/2023 (Shift - 3) 
 (a) 8.0  (b) 11.1  (c) 10.0     (d) 12.5 
 Q.12.  Ten  refrigerators  and  four  mobile 
 phones  together  cost  ?2,10,000  while  six 
 refrigerators  and  two  mobile  phones 
 together  cost  ?1,22,000.  The  cost  (in  ?) 
 of one refrigerator and two mobile 
 phones is: 
 SSC CHSL Tier II (26/06/2023) 
 (a) 37000  (b) 35200 
 (c) 34500  (d) 36000 
 Q.13.  Mukesh  sells  two  shirts.  The  cost 
 price  of  the  ?rst  shirt  is  equal  to  the 
 selling  price  of  the  second  shirt.  The  ?rst 
 www.ssccglpinnacle.com                                                 Download Pinnacle Exam Preparation App 506
 Pinnacle  Day: 71st - 75th  Profit and Loss 
 shirt  is  sold  at  a  pro?t  of  20%  and  the 
 second  shirt  is  sold  at  a  loss  of  20%. 
 What  is  the  ratio  of  the  selling  price  of 
 the  ?rst  shirt  to  the  cost  price  of  the 
 second shirt? 
 SSC MTS 19/06/2023 (Afternoon) 
 (a) 18 : 25  (b) 97 : 100 
 (c) 24 : 25  (d) 27 : 50 
 Q.14.  Akshay  has  30  articles,  each 
 having the same cost price. He marked 
 the  price  of  each  article  at  30%  above  its 
 cost  price.  He  sold  15  of  the  articles  at  a 
 discount  of  20%  each  and  the  remaining 
 15  articles  at  a  discount  of  10%  each, 
 thereby  gaining  a  total  pro?t  of  ?630. 
 What was the cost price of each article? 
 SSC MTS 12/07/2022 (Morning) 
 (a) ? 240  (b) ? 180    (c) ? 280   (d) ? 200 
 Q.15.  A  dishonest  dealer  is  selling  sugar 
 at  Rs.  40  per  kg  and  pretending  that  he  is 
 selling  it  at  a  loss  of  Rs.  5  per  kg  but  he 
 actually  gives  800g  instead  of  1  kg,  using 
 a  faulty  weight.  What  is  his  actual  pro?t 
 or loss percent? 
 SSC CHSL  06/06/2022 (Afternoon) 
 (a) Gain, 11%  (b) Gain, 11  % 
 1 
 9 
 (c) Loss. 10  %  (d) Loss, 9  % 
 1 
 9 
 1 
 9 
 Q.16.  A  woman  sold  her  earphone  for  Rs. 
 2,000  and  got  a  percentage  pro?t  equal 
 to  the  numerical  value  of  cost  price.  The 
 cost price of the earphone is: 
 SSC CHSL 03/06/2022 (Morning) 
 (a) Rs. 500  (b) Rs. 200 
 (c) Rs. 600  (d) Rs. 400 
 Q.17.  A  manufacturer  sells  an  item  to  a 
 wholesale  dealer  at  a  pro?t  of  11%.  The 
 wholesaler  sells  the  same  to  a  retailer  at 
 a  pro?t  of  15%.  The  retailer  in  turn  sells  it 
 to  a  customer  for  ?17,045,  thereby 
 earning  a  pro?t  of  19%.  The  cost  price  of 
 the  manufacturer  is  (consider  integral 
 part only) : 
 SSC CHSL  26/05/2022 (Evening) 
 (a) ?13,520  (b) ?15,020 
 (c) ?10,200  (d) ?11,220 
 Q.18.  Aditya  sells  two  wrist  watches 
 from  his  personal  collection  for  ?12,600 
 each.  On  the  ?rst  watch  he  gains  26% 
 and  on  the  second  he  loses  10%.  Find  the 
 overall loss or pro?t percentage? 
 SSC CGL 12/04/2022 (Evening) 
 (a) Gain of 16%  (b) Gain of 5% 
 (c) Loss of 5%  (d) Gain  of 12% 
 Q.19.  Sushant  buys  goods  worth 
 Rs.8000.  He  gets  a  discount  of  10%  on 
 that  article.  After  getting  the  exemption, 
 he  pays  tax  at  the  rate  of  7.5%.  Find  the 
 amount  he  will  have  to  pay  for  this  goods 
 received  at  his  residence,  if  the 
 shopkeeper  charges  Rs.200  for  home 
 delivery. 
 SSC MTS 02/11/2021 (Morning) 
 (a) Rs.7940  (b) Rs.8155 
 (c) Rs.9660  (d) Rs.6851 
 Q.20.  The  difference  between  the  selling 
 prices  of  some  apples,  if  sold  for  ?12  per 
 apple  instead  of  ?9  per  apple,  is  ?870.  If 
 total  cost  price  of  all  the  apples  is 
 ?2,320, then ?nd the selling price of one 
 apple if the pro?t earned is 25% 
 SSC MTS 22/10/2021 (Afternoon) 
 (a) ?15  (b) ?10  (c) ?12  (d) ?8 
 Q.21.  Joseph  bought  two  woollen 
 jackets  for  Rs.  2100  and  Rs.  3150 
 respectively.  By  selling  the  ?rst  at  a  gain 
 of  k%  and  the  second  at  a  loss  of  k%,  he 
 found  the  selling  price  of  both  is  the 
 same. What is the value of k? 
 SSC CHSL 06/08/2021 (Morning) 
 (a) 20  (b) 22.64     (c) 15     (d) 25 
 Q.22.  When  an  article  is  sold  for  Rs.720, 
 there  is  a  pro?t  of  x%.  When  the  same 
 article  is  sold  for  Rs.750,  pro?t  is  (x  +  5)  %. 
 What is the value of x ? 
 SSC CHSL 21/10/2020 (Morning) 
 (a) 20  (b) 18          (c) 25          (d) 1 
 Q.23.  35%  of  goods  were  sold  at  a  pro?t 
 of  65%,  while  the  remaining  were  sold  at 
 x%  loss.  If  the  overall  loss  is  12%,  then 
 what  is  the  value  of  x?  (correct  to  one 
 decimal place) 
 SSC CGL Tier  II (13/09/2019) 
 (a) 51.8  (b) 50.6  (c) 53.5  (d) 52.4 
 Q.24.  How  many  kg  of  salt  costing  Rs.  28 
 per  kg  must  be  mixed  with  6.6  kg  of  salt 
 costing  Rs.  16  per  kg,  so  that  selling  the 
 mixture  at  Rs.  29.90,  there  is  a  gain  of 
 15%? 
 SSC CGL Tier  II (13/09/2019) 
 (a) 33  (b) 31  (c) 35  (d) 32 
 Q.25.  By  selling  two  articles  for  Rs  800,  a 
 person  gains  the  cost  price  of  three 
 articles. The pro?t percent is: 
 SSC CGL Tier  II (12/09/2019) 
 (a) 125  (b) 140  (c) 120  (d) 150 
 Q.26.  An  article  is  sold  at  a  certain  price. 
 If  it  is  sold  at  33  %  of  this  price,  there  is 
 1 
 3 
 a  loss  of  33  %.  What  is  the  percentage 
 1 
 3 
 pro?t  when  it  is  sold  at  60%  of  the  original 
 selling price? 
 SSC CGL Tier II (11/09/2019) 
 (a) 20  (b) 30  (c) 33  (d) 17 
 1 
 3 
 1 
 3 
 Q.27.  Sujata sold 25 articles for Rs. 1250 
 and  she  incurred  a  loss  of  10%.  How 
 many  articles  should  she  sell  for  Rs.  2600 
 so that she can get a pro?t of 17% ? 
 SSC MTS  20/08/2019 (Morning) 
 (a) 26  (b) 40  (c) 25  (d)42 
 Q.28.  The  sum  of  cost  prices  of  A  and  B 
 is  Rs.  1200.  The  sum  of  the  selling  prices 
 of  A  and  B  is  Rs.  1390.  If  the  pro?t  of  10% 
 and  20%  is  obtained  on  A  and  B 
 respectively,  then  ?nd  the  ratio  between 
 the cost prices of A and B. 
 SSC MTS 19/08/2019 (Afternoon) 
 (a) 5 : 7  (b) 5 : 9     (c) 7 : 13    (d) 6 : 11 
 Q.29.  A  shopkeeper  earns  the  same 
 percent  of  pro?t  as  well  as  loss  by  selling 
 two  similar  pieces  of  furniture  for  Rs 
 18000  and  Rs  10000,  respectively.  At 
 what  price  should  he  sell  it  to  earn  a  pro?t 
 of 50%? 
 SSC MTS 14/08/2019 (Afternoon) 
 (a) Rs 21,000  (b) Rs 20,250 
 (c) Rs 21,750  (d) Rs 19,500 
 Q.30.  A  shopkeeper  gains  400%  on  a 
 transaction.  If  the  cost  increases  by  100% 
 and  there  is  no  change  in  the  selling  price, 
 then  ?nd  the  ratio  between  new  pro?t  and 
 selling price. 
 SSC MTS 14/08/2019 (Morning) 
 (a) 1 : 3  (b) 2 : 5  (c) 3 : 5  (d) 1 : 2 
 Q.31.  Parikh  sold  his  pen  at  a  pro?t  of  Rs 
 11.  He  calculated  the  pro?t  percentage  on 
 selling  price  and  found  it  to  be  25%.  the 
 cost price (in Rs) of the pen is: 
 SSC MTS 13/08/2019 (Afternoon) 
 (a) 33  (b) 24  (c) 36  (d) 44 
 Q.32.  If  20%  of  the  goods  are  sold  at  50% 
 pro?t,  40%  of  the  goods  at  20%  loss,  20% 
 of  the  goods  at  5%  loss  and  the 
 remaining  at  no  loss  or  no  pro?t,  then  the 
 overall pro?t percentage is: 
 SSC MTS  09/08/2019 (Afternoon) 
 (a) 5%  (b) 8%  (c) 4%  (d) 1% 
 Q.33.  Two  articles  were  sold  for  Rs  2400 
 each  by  a  shopkeeper.  The  shopkeeper 
 incurred  no  pro?t  and  no  loss  on  the 
 whole  transaction.  If  one  of  the  two 
 articles  sold  at  a  pro?t  of  20%,  then  what 
 was the loss incurred on the other article? 
 SSC MTS  07/08/2019 (Afternoon) 
 (a) 600   (b) 400  (c) 380  (d) 240 
 Q.34.  P  sold  an  article  to  Q  at  a  pro?t  of 
 20%.  Q  sold  the  same  article  to  R  at  a  loss 
 of  25%.  R  sold  the  same  article  to  T  at  a 
 pro?t  of  50%.  If  P  bought  the  article  at  Rs 
 100,  then  at  what  price  did  T  buy  that 
 article? 
 SSC MTS  06/08/2019 (Evening) 
 (a) 145  (b) 125  (c)115  (d) 135 
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Page 3


 Pinnacle  Day: 71st - 75th  Profit and Loss 
 Profit and Loss 
 1.  Pro?t incurs when SP (selling price) is 
 more than CP (cost price). 
 2.  Pro?t =  SP – CP 
 3.  Loss incurs when CP is more than SP 
 i.e. Loss = CP – SP 
 4.  % Pro?t = 
 ???????????? 
 ???? 
    ×     100 
 5.  % Loss = 
 ???????? 
 ???? 
    ×     100 
 6.  Pro?t or Loss is always calculated on 
 cost price. 
 7.  ???? = ????     ×    
 100        ±        ????????????     /     ????????     % 
 100 
 8.  ???? = ????     ×    
 100 
 100        ±        ????????????  /  ????????     % 
 Note:  In  case  of  pro?t  you  must  add  and 
 in  case  of  loss  subtract  in  above  two 
 formulas. 
 9.  When  instead  of  amount,  number  of 
 goods sold are given then, 
 Percentage pro?t 
 = 
 ??????????????????     ?????????? 
 ??????????     ???????? 
 ×     100 
 10.  When  two  products  are  sold  at  same 
 selling  price,  one  at  a  loss  of  %  and  ?? 
 other  at  a  pro?t  of  %  then  net  result  is  ?? 
 always loss, which is equal to : 
 Net result =  (  )% 
 ?? 
 2 
 100 
 11.  When  two  products  are  sold  at  same 
 selling  price,  one  at  a  loss/pro?t  of  %  ?? 
 and  other  at  a  loss/pro?t  of  %  then  net  ?? 
 result is equal to : 
 Net result =  {  }% 
 100 ( ??    +    ?? )   +    2  ???? 
 200    +    ??    +    ?? 
 Note :-  Take  +ve sign  Pro?t  and ?
 -ve sign  Loss ?
 12.  Marked  Price  -  Discount  =  Selling 
 Price 
 13.  Discount  is  always  calculated  on 
 Marked price. So, Discount % 
 = 
 ????????????????    
 ????????????     ?????????? 
 ×     100 
 14.  In  case  of  Trade  Discount  and  Cash 
 Discount,  ?rst  deduct  the  Trade  Discount 
 and  then  calculate  the  Cash  Discount  on 
 the remaining amount. 
 15.  If  a  trader  profess  to  sell  goods  at 
 cost price but uses false weights, then 
 Pro?t percentage 
 =  , 
 ?????????? 
 ????????     ??????????    -    ?????????? 
 ×     100 
 where Error = True value - False value 
 16.  = 
 ???? 
 ???? 
    100    -    ????????????????     % 
 100        ±        ????????????     /     ????????     % 
 Variety Questions 
 Q.1.  A  sells  a  watch  to  B  at  a  pro?t  of 
 33%  and  B  sells  it  to  C  at  a  loss  of  20%.  If 
 C pays ?532, then what was the cost 
 price for A? 
 SSC CHSL Tier II  10/01/2024 
 (a) ?500   (b) ?800   (c) ?400   (d) ?600 
 Q.2.  B  purchased  15  kg  apples  at  the  rate 
 of  ?180  per  kg  from  a  wholesaler  who 
 uses  a  weight  of  950  grams  for  the  kg 
 weight.  B  sold  all  these  apples  at  ?180 
 per  kg  but  used  a  weight  of  750  grams 
 for  the  kg  weight.  Find  the  percentage 
 pro?t  earned  by  B  in  the  transaction 
 (correct to 2 places of decimal). 
 SSC CGL Tier II  (26/10/2023) 
 (a) 22.55%  (b) 25.75% 
 (c) 33.33%  (d) 26.67% 
 Q.3.  Aditya  sold  article  X  at  a  pro?t  of 
 23%  and  article  Y  at  a  loss  of  13%.  He 
 earned  a  pro?t  of  ?180  in  the  entire 
 transaction.  If  article  X  costs  ?90  less 
 than  article  Y,  then  what  is  the  price  of 
 article Y (in ? )? 
 SSC CPO 03/10/2023 (3rd Shift) 
 (a) 2,007 (b) 2,050 (c) 2,100 (d) 2,020 
 Q.4.  Arun  brought  50  kg  of  rice  at  a 
 discount  of  15%  on  the  marked  price.  For 
 purchasing  bulk  quantity,  he  was  given  5 
 kg  of  wheat  (the  marked  price  of  which 
 was  60%  the  marked  price  of  rice)  free  of 
 cost.  Had  the  retailer  sold  both  items  at 
 their  marked  price  to  his  other 
 customers,  then  approximately  what 
 would  be  the  pro?t  percentage  that  the 
 shopkeeper could earn ? 
 SSC CHSL 14/08/2023 (1st Shift) 
 (a) 24.7% (b) 25.2% (c) 22.8% (d) 23.5% 
 Q.5.  A  fruit  seller  buys  480  bananas  for 
 ?1,200.  Some  of  these  bananas  are 
 rotten  and  hence,  they  are  thrown  away. 
 He  sells  the  remaining  bananas  at  ?3.5 
 each  and  makes  a  pro?t  of  ?396.  What  is 
 the percentage of bananas thrown away? 
 SSC CHSL 11/08/2023 (4th Shift) 
 (a) 6%  (b) 4.5 %  (c) 5 %      (d) 4 % 
 Q.6.  A  tailor  buys  lining  clothes  from  a 
 wholesale  merchant  and  cheats  him  by 
 using  a  measurement  tape  which  is  5  cm 
 longer  than  the  normal  tape.  The  tailor 
 offers  the  customers  at  cost  price  while 
 stitching  different  garments  and  uses 
 measurements  tape  which  is  5  cm 
 shorter than the normal tape. The gain 
 percent is: 
 SSC CHSL 03/08/2023 (3rd Shift) 
 (a) 15%  (b)  %  (c) 10%  (d)  %  10 
 10 
 25 
 10 
 10 
 19 
 Q.7.  Rini  has  mixed  two  colours  '  '  and  '  ?? 
 1 
 '  in  the  ratio  2  :  3.  If  the  rate  of  the  ?? 
 2 
 colour  '  '  is  ?500  per  unit  and  she  is  ?? 
 1 
 selling  the  mixture  of  the  two  colours  at 
 ?650  per  unit  at  breakeven  price,  then 
 what  is  the  rate  (in  ?)  per  unit  of  the 
 second colour, that is, '  '?  ?? 
 2 
 SSC CGL 27/07/2023 (1st shift) 
 (a) 750  (b) 725  (c) 760  (d) 765 
 Q.8.  A  shopkeeper  purchased  1600 
 mangos  at  the  rate  of  ?120  per  dozen. 
 Out  of  these,  he  sold  900  mangoes  at 
 ?15  per  mango  and  the  remaining 
 mangoes  at  ?14  per  mango.  His  gain 
 percentage is: 
 SSC CGL 25/07/2023 (4th shift) 
 (a) 45.625%  (b) 38.265% 
 (c) 35.625%  (d) 48.765% 
 Q.9.  A  shopkeeper  bought  a  certain 
 number  of  apples  for  Rs.3,600.  He  sold 
 one  -  ?fth  of  them  at  a  loss  of  10%, 
 one-fourth  of  the  remaining  apples  at  a 
 loss  of  5%,  and  two-third  of  the  rest  at  a 
 pro?t  of  15%.  At  what  price  (in  Rs.) 
 should  he  sell  the  remaining  apples  to 
 earn a pro?t of 27% overall? 
 SSC CGL 25/07/2023 (1st shift) 
 (a) 1,548  (b) 1,584  (c) 1,845  (d) 1,864 
 Q.10.  A  retailer  announces  a  discount  of 
 30%  for  selling  an  air-conditioner  marked 
 at  92,000.  The  cost  price  of  the  ? 
 air-conditioner  is  70%  below  the  marked 
 price.  He  offers  a  further  discount  of  20% 
 if  the  buyer  presents  his  membership 
 card  of  the  retailer's  store.  The  pro?t  of 
 the  retailer  with  the  membership  card 
 scheme  is  what  percentage  of  the  pro?t 
 of  the  retailer  without  the  membership 
 card scheme? 
 SSC CGL 20/07/2023 (3rd shift) 
 (a) 62%    (b) 65%    (c) 70%    (d) 74% 
 Q.11.  A  shopkeeper  is  incurring  a  loss  of 
 cost  price  of  4  pens  while  selling  20  pens 
 to  Ajay.  If  the  shopkeeper  had  purchased 
 20  pens  at  10%  less  price  and  had  sold 
 20  pens  to  Ajay  at  25%  more  than  the 
 selling  price,  then  how  much  percentage 
 would  he  have  gained  (rounded  off  to  1 
 decimal place)? 
 Graduate Level 28/06/2023 (Shift - 3) 
 (a) 8.0  (b) 11.1  (c) 10.0     (d) 12.5 
 Q.12.  Ten  refrigerators  and  four  mobile 
 phones  together  cost  ?2,10,000  while  six 
 refrigerators  and  two  mobile  phones 
 together  cost  ?1,22,000.  The  cost  (in  ?) 
 of one refrigerator and two mobile 
 phones is: 
 SSC CHSL Tier II (26/06/2023) 
 (a) 37000  (b) 35200 
 (c) 34500  (d) 36000 
 Q.13.  Mukesh  sells  two  shirts.  The  cost 
 price  of  the  ?rst  shirt  is  equal  to  the 
 selling  price  of  the  second  shirt.  The  ?rst 
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 Pinnacle  Day: 71st - 75th  Profit and Loss 
 shirt  is  sold  at  a  pro?t  of  20%  and  the 
 second  shirt  is  sold  at  a  loss  of  20%. 
 What  is  the  ratio  of  the  selling  price  of 
 the  ?rst  shirt  to  the  cost  price  of  the 
 second shirt? 
 SSC MTS 19/06/2023 (Afternoon) 
 (a) 18 : 25  (b) 97 : 100 
 (c) 24 : 25  (d) 27 : 50 
 Q.14.  Akshay  has  30  articles,  each 
 having the same cost price. He marked 
 the  price  of  each  article  at  30%  above  its 
 cost  price.  He  sold  15  of  the  articles  at  a 
 discount  of  20%  each  and  the  remaining 
 15  articles  at  a  discount  of  10%  each, 
 thereby  gaining  a  total  pro?t  of  ?630. 
 What was the cost price of each article? 
 SSC MTS 12/07/2022 (Morning) 
 (a) ? 240  (b) ? 180    (c) ? 280   (d) ? 200 
 Q.15.  A  dishonest  dealer  is  selling  sugar 
 at  Rs.  40  per  kg  and  pretending  that  he  is 
 selling  it  at  a  loss  of  Rs.  5  per  kg  but  he 
 actually  gives  800g  instead  of  1  kg,  using 
 a  faulty  weight.  What  is  his  actual  pro?t 
 or loss percent? 
 SSC CHSL  06/06/2022 (Afternoon) 
 (a) Gain, 11%  (b) Gain, 11  % 
 1 
 9 
 (c) Loss. 10  %  (d) Loss, 9  % 
 1 
 9 
 1 
 9 
 Q.16.  A  woman  sold  her  earphone  for  Rs. 
 2,000  and  got  a  percentage  pro?t  equal 
 to  the  numerical  value  of  cost  price.  The 
 cost price of the earphone is: 
 SSC CHSL 03/06/2022 (Morning) 
 (a) Rs. 500  (b) Rs. 200 
 (c) Rs. 600  (d) Rs. 400 
 Q.17.  A  manufacturer  sells  an  item  to  a 
 wholesale  dealer  at  a  pro?t  of  11%.  The 
 wholesaler  sells  the  same  to  a  retailer  at 
 a  pro?t  of  15%.  The  retailer  in  turn  sells  it 
 to  a  customer  for  ?17,045,  thereby 
 earning  a  pro?t  of  19%.  The  cost  price  of 
 the  manufacturer  is  (consider  integral 
 part only) : 
 SSC CHSL  26/05/2022 (Evening) 
 (a) ?13,520  (b) ?15,020 
 (c) ?10,200  (d) ?11,220 
 Q.18.  Aditya  sells  two  wrist  watches 
 from  his  personal  collection  for  ?12,600 
 each.  On  the  ?rst  watch  he  gains  26% 
 and  on  the  second  he  loses  10%.  Find  the 
 overall loss or pro?t percentage? 
 SSC CGL 12/04/2022 (Evening) 
 (a) Gain of 16%  (b) Gain of 5% 
 (c) Loss of 5%  (d) Gain  of 12% 
 Q.19.  Sushant  buys  goods  worth 
 Rs.8000.  He  gets  a  discount  of  10%  on 
 that  article.  After  getting  the  exemption, 
 he  pays  tax  at  the  rate  of  7.5%.  Find  the 
 amount  he  will  have  to  pay  for  this  goods 
 received  at  his  residence,  if  the 
 shopkeeper  charges  Rs.200  for  home 
 delivery. 
 SSC MTS 02/11/2021 (Morning) 
 (a) Rs.7940  (b) Rs.8155 
 (c) Rs.9660  (d) Rs.6851 
 Q.20.  The  difference  between  the  selling 
 prices  of  some  apples,  if  sold  for  ?12  per 
 apple  instead  of  ?9  per  apple,  is  ?870.  If 
 total  cost  price  of  all  the  apples  is 
 ?2,320, then ?nd the selling price of one 
 apple if the pro?t earned is 25% 
 SSC MTS 22/10/2021 (Afternoon) 
 (a) ?15  (b) ?10  (c) ?12  (d) ?8 
 Q.21.  Joseph  bought  two  woollen 
 jackets  for  Rs.  2100  and  Rs.  3150 
 respectively.  By  selling  the  ?rst  at  a  gain 
 of  k%  and  the  second  at  a  loss  of  k%,  he 
 found  the  selling  price  of  both  is  the 
 same. What is the value of k? 
 SSC CHSL 06/08/2021 (Morning) 
 (a) 20  (b) 22.64     (c) 15     (d) 25 
 Q.22.  When  an  article  is  sold  for  Rs.720, 
 there  is  a  pro?t  of  x%.  When  the  same 
 article  is  sold  for  Rs.750,  pro?t  is  (x  +  5)  %. 
 What is the value of x ? 
 SSC CHSL 21/10/2020 (Morning) 
 (a) 20  (b) 18          (c) 25          (d) 1 
 Q.23.  35%  of  goods  were  sold  at  a  pro?t 
 of  65%,  while  the  remaining  were  sold  at 
 x%  loss.  If  the  overall  loss  is  12%,  then 
 what  is  the  value  of  x?  (correct  to  one 
 decimal place) 
 SSC CGL Tier  II (13/09/2019) 
 (a) 51.8  (b) 50.6  (c) 53.5  (d) 52.4 
 Q.24.  How  many  kg  of  salt  costing  Rs.  28 
 per  kg  must  be  mixed  with  6.6  kg  of  salt 
 costing  Rs.  16  per  kg,  so  that  selling  the 
 mixture  at  Rs.  29.90,  there  is  a  gain  of 
 15%? 
 SSC CGL Tier  II (13/09/2019) 
 (a) 33  (b) 31  (c) 35  (d) 32 
 Q.25.  By  selling  two  articles  for  Rs  800,  a 
 person  gains  the  cost  price  of  three 
 articles. The pro?t percent is: 
 SSC CGL Tier  II (12/09/2019) 
 (a) 125  (b) 140  (c) 120  (d) 150 
 Q.26.  An  article  is  sold  at  a  certain  price. 
 If  it  is  sold  at  33  %  of  this  price,  there  is 
 1 
 3 
 a  loss  of  33  %.  What  is  the  percentage 
 1 
 3 
 pro?t  when  it  is  sold  at  60%  of  the  original 
 selling price? 
 SSC CGL Tier II (11/09/2019) 
 (a) 20  (b) 30  (c) 33  (d) 17 
 1 
 3 
 1 
 3 
 Q.27.  Sujata sold 25 articles for Rs. 1250 
 and  she  incurred  a  loss  of  10%.  How 
 many  articles  should  she  sell  for  Rs.  2600 
 so that she can get a pro?t of 17% ? 
 SSC MTS  20/08/2019 (Morning) 
 (a) 26  (b) 40  (c) 25  (d)42 
 Q.28.  The  sum  of  cost  prices  of  A  and  B 
 is  Rs.  1200.  The  sum  of  the  selling  prices 
 of  A  and  B  is  Rs.  1390.  If  the  pro?t  of  10% 
 and  20%  is  obtained  on  A  and  B 
 respectively,  then  ?nd  the  ratio  between 
 the cost prices of A and B. 
 SSC MTS 19/08/2019 (Afternoon) 
 (a) 5 : 7  (b) 5 : 9     (c) 7 : 13    (d) 6 : 11 
 Q.29.  A  shopkeeper  earns  the  same 
 percent  of  pro?t  as  well  as  loss  by  selling 
 two  similar  pieces  of  furniture  for  Rs 
 18000  and  Rs  10000,  respectively.  At 
 what  price  should  he  sell  it  to  earn  a  pro?t 
 of 50%? 
 SSC MTS 14/08/2019 (Afternoon) 
 (a) Rs 21,000  (b) Rs 20,250 
 (c) Rs 21,750  (d) Rs 19,500 
 Q.30.  A  shopkeeper  gains  400%  on  a 
 transaction.  If  the  cost  increases  by  100% 
 and  there  is  no  change  in  the  selling  price, 
 then  ?nd  the  ratio  between  new  pro?t  and 
 selling price. 
 SSC MTS 14/08/2019 (Morning) 
 (a) 1 : 3  (b) 2 : 5  (c) 3 : 5  (d) 1 : 2 
 Q.31.  Parikh  sold  his  pen  at  a  pro?t  of  Rs 
 11.  He  calculated  the  pro?t  percentage  on 
 selling  price  and  found  it  to  be  25%.  the 
 cost price (in Rs) of the pen is: 
 SSC MTS 13/08/2019 (Afternoon) 
 (a) 33  (b) 24  (c) 36  (d) 44 
 Q.32.  If  20%  of  the  goods  are  sold  at  50% 
 pro?t,  40%  of  the  goods  at  20%  loss,  20% 
 of  the  goods  at  5%  loss  and  the 
 remaining  at  no  loss  or  no  pro?t,  then  the 
 overall pro?t percentage is: 
 SSC MTS  09/08/2019 (Afternoon) 
 (a) 5%  (b) 8%  (c) 4%  (d) 1% 
 Q.33.  Two  articles  were  sold  for  Rs  2400 
 each  by  a  shopkeeper.  The  shopkeeper 
 incurred  no  pro?t  and  no  loss  on  the 
 whole  transaction.  If  one  of  the  two 
 articles  sold  at  a  pro?t  of  20%,  then  what 
 was the loss incurred on the other article? 
 SSC MTS  07/08/2019 (Afternoon) 
 (a) 600   (b) 400  (c) 380  (d) 240 
 Q.34.  P  sold  an  article  to  Q  at  a  pro?t  of 
 20%.  Q  sold  the  same  article  to  R  at  a  loss 
 of  25%.  R  sold  the  same  article  to  T  at  a 
 pro?t  of  50%.  If  P  bought  the  article  at  Rs 
 100,  then  at  what  price  did  T  buy  that 
 article? 
 SSC MTS  06/08/2019 (Evening) 
 (a) 145  (b) 125  (c)115  (d) 135 
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 Pinnacle  Day: 71st - 75th  Profit and Loss 
 Q.35.  A  sold  an  article  on  15%  pro?t  for 
 Rs.  1495.  He  purchased  another  article 
 whose  cost  price  was  equal  to  that  of  the 
 ?rst  article.  He  sold  this  new  article  at 
 10% pro?t. What is the total pro?t of A ? 
 SSC MTS  05/08/2019 (Afternoon) 
 (a) 325  (b) 450  (c) 375  (d) 425 
 Q.36.  The  cost  prices  of  article  A  and 
 article  B  are  Rs.  1200  and  Rs.  1600 
 respectively.  The  selling  price  of  article  A 
 is  Rs.  1380  and  the  total  pro?t  after 
 selling  both  the  articles  is  25%.  What  is 
 the pro?t percentage on the article B ? 
 SSC MTS  05/08/2019 (Afternoon) 
 (a) 27.5  (b) 32.5  (c) 29.5  (d) 35.5 
 Q.37.  An  article  is  sold  for  Rs  6500  so  as 
 to  earn  a  pro?t  of  4%.  A  second  article 
 whose  cost  price  is  Rs  3750,  is  sold  at  a 
 loss  of  4%.  What  is  the  overall  gain  or 
 loss percent in the whole transaction? 
 SSC MTS 05/08/2019 (Morning) 
 (a) Gain 45%  (b) Loss 1% 
 (c) Loss 4%  (d) Gain 1% 
 Q.38.  A  man  bought  three  articles  for  Rs 
 3,000  each.  He  sold  the  articles 
 respectively  at  10%  pro?t,  5%  pro?t  and 
 15%  loss.  The  total  percentage  pro?t/loss 
 he earned is: 
 SSC CHSL 08/07/2019 (Evening) 
 (a) 10% loss  (b) 5% loss 
 (c) 5% pro?t  (d) No pro?t no loss 
 Q.39.  Two  articles  are  sold  for  Rs.9,720 
 each.  On  one,  the  seller  gains  8%  and  on 
 the  other,  he  loses  10%.  What  is  his 
 overall gain or loss? 
 SSC CGL 10/06/2019 (Afternoon) 
 (a) Rs.380 gain  (b) Rs.380 loss 
 (c) Rs.360 loss  (d) Rs.360 gain 
 Q.40.  A  person  sells  an  article  at  a  pro?t 
 of  12%.  If  he  had  purchased  it  for  12% 
 less  and  sold  it  for  Rs.9  less,  he  would 
 have  gained  27%.  What  is  the  original 
 cost price of the article? 
 SSC CGL  07/06/2019 (Evening) 
 (a) 4,250  (b) 4,000   (c) 4,500   (d) 3,750 
 Q.41.  Sushma  bought  6  tables  and  12 
 chairs  for  Rs.12000.  She  sold  the  tables 
 at  a  pro?t  of  15%  and  the  chairs  at  a  loss 
 of  10%.  If  her  total  gain  was  300,  then  the 
 total cost of the tables was: 
 SSC CGL 07/06/2019 (Morning) 
 (a) 6000  (b) 5000  (c) 5400   (d) 4800 
 Q.42.  Abhi  bought  two  articles  for  Rs.624. 
 He  sold  one  at  a  loss  of  14%  and  the 
 other  at  a  pro?t  of  14%.  If  the  selling  price 
 of  both  the  articles  is  equal,  then  the 
 difference  between  their  cost  prices  (in 
 Rs) is: 
 SSC CGL 06/06/2019 (Afternoon) 
 (a) 89.64  (b) 87.36   (c) 89.68   (d) 88.84 
 Q.43.  The  marked  price  of  an  article  is  Rs. 
 315.  It  is  sold  for  Rs.  288.  If  there  is  a  loss 
 of  4%,  then  by  what  percent  above  the 
 cost is the article marked? 
 SSC CGL  04/06/2019 (Afternoon) 
 (a) 5  (b) 8  (c) 6  (d) 5 
 1 
 2 
 1 
 2 
 Q.44.  A  person  sold  an  article  at  a  loss  of 
 15%.  Had  he  sold  it  for  Rs.  30.60  more,  he 
 would  have  gained  9%.  To  gain  10%,  he 
 should have sold it for: 
 SSC CGL  04/06/2019 (Morning) 
 (a) Rs. 140.25  (b) Rs. 132 
 (c) Rs. 130  (d) Rs. 128.40 
 Q.45.  A  bought  38  kg.  Rice  at  Rs. 
 54.50/kg,  45  Kg  rice  at  Rs.  62/kg,  and  55 
 kg  rice  at  Rs.  48/kg  .  He  sold  the  mixture 
 at  Rs.  65/kg.  His  loss  or  pro?t  percentage 
 is: 
 SSC CPO 16/03/2019 (Morning) 
 (a) Loss 1.04  (b) Loss 1.7 
 (c) Pro?t 19.6  (d) Pro?t 16.8 
 Q.46.  Three  partners  A,  B  and  C  share 
 pro?t  and  losses  in  the  ratio  3:4:7  If  the 
 pro?t  for  the  year  before  charging  30%  tax 
 is  Rs.  1,10,166  What  is  B’s  share  of  pro?t 
 after tax? 
 SSC CPO 16/03/2019 (Morning) 
 (a) Rs.9442.80  (b) Rs.31476 
 (c) Rs.22033.20  (d) Rs.24673.10 
 Q.47.  A  cyclist  sells  3  cycles  at  the  loss 
 of  Rs.  129  per  bicycle  and  12  cycles  on 
 the  pro?t  of  516  per  cycle.  If  the  total 
 pro?t  on  all  the  bicycles  sold  is  15%,  then 
 what will be the cost per cycle? 
 SSC CPO 14/03/2019 (Evening) 
 (a) 2960  (b) 3870  (c) 2580   (d) 4440 
 Q.48.  A  manufacturer  sells  the  product  to 
 a  wholesaler  at  6%  pro?t,  the  wholesaler 
 sells  the  product  to  a  retailer  at  8%  pro?t 
 and  the  retailer  sells  the  product  to  his 
 customer  at  10%  pro?t.  The  price  paid  by 
 the  customer  is  Rs  31,482.  The  cost  of 
 the product to the manufacturer is: 
 SSC CPO 14/03/2019 (Morning) 
 (a) 28,306  (b) 26,524 
 (c) 25,000  (d) 26,980 
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.49.  The  cost  of  4  chairs  and  3  tables  is 
 ?2,100  and  the  cost  of  5  chairs  and  2 
 tables  is  ?1,750.  Find  the  cost  (  in  ?)  of  a 
 chair. 
 SSC CHSL Tier II  02/11/2023 
 (a) 150  (b) 130  (c) 140  (d) 125 
 Q.50.  A  shopkeeper  sold  his  goods  at 
 half  the  list  price  and  thus  lost  17%.  If  he 
 had  sold  on  the  listed  price,  then  his  gain 
 percentage would be: 
 SSC CHSL Tier II  02/11/2023 
 (a) 17%  (b) 41%  (c) 83%  (d) 66% 
 Q.51.  Sohan  sells  sugar  at  the  cost  price 
 but  uses  false  weights  thus  gaining  28% 
 pro?t.  How  many  grams  of  sugar  is  he 
 giving for 3.2 kg sugar? 
 SSC CHSL Tier II  10/01/2024 
 (a) 1500    (b) 1900    (c) 2200    (d) 2500 
 SSC CGL 2023 Tier - 2 
 Q.52.  Two  friends  A  and  B  started  a 
 business  by  investing  ?1,50,000  and 
 ?2,50,000,  respectively.  They  agreed  to 
 distribute  their  earnings  in  the  same  ratio 
 of  their  investments.  After  an  year,  the 
 pro?t  earned  was  ?6,00,000.  Each  of 
 them  added  ?50,000  to  their  respective 
 pro?ts  and  invested  in  a  different  project. 
 If  this  project  gave  an  yield  of  ?4,20,000, 
 then A’s share in the pro?t is: 
 SSC CGL Tier II  (26/10/2023) 
 (a) ?2,35,000  (b) ?1,65,000 
 (c) ?1,97,000  (d) ?1,84,000 
 SSC CPO 2023 Tier - 1 
 Q.53.  The  ?rst  shirt  is  sold  at  twice  the 
 selling  price  of  the  second  shirt.  The  ?rst 
 shirt  is  sold  at  8%  pro?t  and  the  second 
 shirt  is  sold  at  a  3%  loss.  What  is  the 
 overall  percentage  pro?t  on  the  shirts 
 (Rounded off to two decimal places)?\ 
 SSC CPO 03/10/2023 (1st Shift) 
 (a) 4.60%  (b) 4.07%  (c) 3.86%  (d) 4.86% 
 Q.54.  Sukhvir  purchased  some 
 perishable  items  for  sale  but  30%  of 
 those  items  could  not  be  sold  and  went 
 bad.  However,  Sukhvir  managed  to  sell 
 the  rest  of  the  items  at  a  price  that 
 helped  him  earn  an  overall  pro?t  of  19%. 
 At  what  percentage  above  the  cost  price 
 of  each  item  purchased  by  Sukhvir  did  he 
 sell  each  of  the  items  that  did  not  go 
 bad? 
 SSC CPO 03/10/2023 (2nd  Shift) 
 (a) 49%   (b) 70%   (c) 75%   (d) 63% 
 Q.55.  If  the  difference  between  the 
 selling  prices  of  an  article  at  pro?ts  of 
 10%  and  7%  is  ?6,  then  the  cost  price  (in 
 ?) of the article is: 
 SSC CPO 03/10/2023 (2nd  Shift) 
 (a) 175  (b) 150  (c) 200  (d) 100 
 Q.56.  Mayur  sold  a  watch  at  a  pro?t  of 
 7%.  If  he  had  sold  it  for  ?1,329  more,  he 
 would have gained 57%. Find the cost 
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Page 4


 Pinnacle  Day: 71st - 75th  Profit and Loss 
 Profit and Loss 
 1.  Pro?t incurs when SP (selling price) is 
 more than CP (cost price). 
 2.  Pro?t =  SP – CP 
 3.  Loss incurs when CP is more than SP 
 i.e. Loss = CP – SP 
 4.  % Pro?t = 
 ???????????? 
 ???? 
    ×     100 
 5.  % Loss = 
 ???????? 
 ???? 
    ×     100 
 6.  Pro?t or Loss is always calculated on 
 cost price. 
 7.  ???? = ????     ×    
 100        ±        ????????????     /     ????????     % 
 100 
 8.  ???? = ????     ×    
 100 
 100        ±        ????????????  /  ????????     % 
 Note:  In  case  of  pro?t  you  must  add  and 
 in  case  of  loss  subtract  in  above  two 
 formulas. 
 9.  When  instead  of  amount,  number  of 
 goods sold are given then, 
 Percentage pro?t 
 = 
 ??????????????????     ?????????? 
 ??????????     ???????? 
 ×     100 
 10.  When  two  products  are  sold  at  same 
 selling  price,  one  at  a  loss  of  %  and  ?? 
 other  at  a  pro?t  of  %  then  net  result  is  ?? 
 always loss, which is equal to : 
 Net result =  (  )% 
 ?? 
 2 
 100 
 11.  When  two  products  are  sold  at  same 
 selling  price,  one  at  a  loss/pro?t  of  %  ?? 
 and  other  at  a  loss/pro?t  of  %  then  net  ?? 
 result is equal to : 
 Net result =  {  }% 
 100 ( ??    +    ?? )   +    2  ???? 
 200    +    ??    +    ?? 
 Note :-  Take  +ve sign  Pro?t  and ?
 -ve sign  Loss ?
 12.  Marked  Price  -  Discount  =  Selling 
 Price 
 13.  Discount  is  always  calculated  on 
 Marked price. So, Discount % 
 = 
 ????????????????    
 ????????????     ?????????? 
 ×     100 
 14.  In  case  of  Trade  Discount  and  Cash 
 Discount,  ?rst  deduct  the  Trade  Discount 
 and  then  calculate  the  Cash  Discount  on 
 the remaining amount. 
 15.  If  a  trader  profess  to  sell  goods  at 
 cost price but uses false weights, then 
 Pro?t percentage 
 =  , 
 ?????????? 
 ????????     ??????????    -    ?????????? 
 ×     100 
 where Error = True value - False value 
 16.  = 
 ???? 
 ???? 
    100    -    ????????????????     % 
 100        ±        ????????????     /     ????????     % 
 Variety Questions 
 Q.1.  A  sells  a  watch  to  B  at  a  pro?t  of 
 33%  and  B  sells  it  to  C  at  a  loss  of  20%.  If 
 C pays ?532, then what was the cost 
 price for A? 
 SSC CHSL Tier II  10/01/2024 
 (a) ?500   (b) ?800   (c) ?400   (d) ?600 
 Q.2.  B  purchased  15  kg  apples  at  the  rate 
 of  ?180  per  kg  from  a  wholesaler  who 
 uses  a  weight  of  950  grams  for  the  kg 
 weight.  B  sold  all  these  apples  at  ?180 
 per  kg  but  used  a  weight  of  750  grams 
 for  the  kg  weight.  Find  the  percentage 
 pro?t  earned  by  B  in  the  transaction 
 (correct to 2 places of decimal). 
 SSC CGL Tier II  (26/10/2023) 
 (a) 22.55%  (b) 25.75% 
 (c) 33.33%  (d) 26.67% 
 Q.3.  Aditya  sold  article  X  at  a  pro?t  of 
 23%  and  article  Y  at  a  loss  of  13%.  He 
 earned  a  pro?t  of  ?180  in  the  entire 
 transaction.  If  article  X  costs  ?90  less 
 than  article  Y,  then  what  is  the  price  of 
 article Y (in ? )? 
 SSC CPO 03/10/2023 (3rd Shift) 
 (a) 2,007 (b) 2,050 (c) 2,100 (d) 2,020 
 Q.4.  Arun  brought  50  kg  of  rice  at  a 
 discount  of  15%  on  the  marked  price.  For 
 purchasing  bulk  quantity,  he  was  given  5 
 kg  of  wheat  (the  marked  price  of  which 
 was  60%  the  marked  price  of  rice)  free  of 
 cost.  Had  the  retailer  sold  both  items  at 
 their  marked  price  to  his  other 
 customers,  then  approximately  what 
 would  be  the  pro?t  percentage  that  the 
 shopkeeper could earn ? 
 SSC CHSL 14/08/2023 (1st Shift) 
 (a) 24.7% (b) 25.2% (c) 22.8% (d) 23.5% 
 Q.5.  A  fruit  seller  buys  480  bananas  for 
 ?1,200.  Some  of  these  bananas  are 
 rotten  and  hence,  they  are  thrown  away. 
 He  sells  the  remaining  bananas  at  ?3.5 
 each  and  makes  a  pro?t  of  ?396.  What  is 
 the percentage of bananas thrown away? 
 SSC CHSL 11/08/2023 (4th Shift) 
 (a) 6%  (b) 4.5 %  (c) 5 %      (d) 4 % 
 Q.6.  A  tailor  buys  lining  clothes  from  a 
 wholesale  merchant  and  cheats  him  by 
 using  a  measurement  tape  which  is  5  cm 
 longer  than  the  normal  tape.  The  tailor 
 offers  the  customers  at  cost  price  while 
 stitching  different  garments  and  uses 
 measurements  tape  which  is  5  cm 
 shorter than the normal tape. The gain 
 percent is: 
 SSC CHSL 03/08/2023 (3rd Shift) 
 (a) 15%  (b)  %  (c) 10%  (d)  %  10 
 10 
 25 
 10 
 10 
 19 
 Q.7.  Rini  has  mixed  two  colours  '  '  and  '  ?? 
 1 
 '  in  the  ratio  2  :  3.  If  the  rate  of  the  ?? 
 2 
 colour  '  '  is  ?500  per  unit  and  she  is  ?? 
 1 
 selling  the  mixture  of  the  two  colours  at 
 ?650  per  unit  at  breakeven  price,  then 
 what  is  the  rate  (in  ?)  per  unit  of  the 
 second colour, that is, '  '?  ?? 
 2 
 SSC CGL 27/07/2023 (1st shift) 
 (a) 750  (b) 725  (c) 760  (d) 765 
 Q.8.  A  shopkeeper  purchased  1600 
 mangos  at  the  rate  of  ?120  per  dozen. 
 Out  of  these,  he  sold  900  mangoes  at 
 ?15  per  mango  and  the  remaining 
 mangoes  at  ?14  per  mango.  His  gain 
 percentage is: 
 SSC CGL 25/07/2023 (4th shift) 
 (a) 45.625%  (b) 38.265% 
 (c) 35.625%  (d) 48.765% 
 Q.9.  A  shopkeeper  bought  a  certain 
 number  of  apples  for  Rs.3,600.  He  sold 
 one  -  ?fth  of  them  at  a  loss  of  10%, 
 one-fourth  of  the  remaining  apples  at  a 
 loss  of  5%,  and  two-third  of  the  rest  at  a 
 pro?t  of  15%.  At  what  price  (in  Rs.) 
 should  he  sell  the  remaining  apples  to 
 earn a pro?t of 27% overall? 
 SSC CGL 25/07/2023 (1st shift) 
 (a) 1,548  (b) 1,584  (c) 1,845  (d) 1,864 
 Q.10.  A  retailer  announces  a  discount  of 
 30%  for  selling  an  air-conditioner  marked 
 at  92,000.  The  cost  price  of  the  ? 
 air-conditioner  is  70%  below  the  marked 
 price.  He  offers  a  further  discount  of  20% 
 if  the  buyer  presents  his  membership 
 card  of  the  retailer's  store.  The  pro?t  of 
 the  retailer  with  the  membership  card 
 scheme  is  what  percentage  of  the  pro?t 
 of  the  retailer  without  the  membership 
 card scheme? 
 SSC CGL 20/07/2023 (3rd shift) 
 (a) 62%    (b) 65%    (c) 70%    (d) 74% 
 Q.11.  A  shopkeeper  is  incurring  a  loss  of 
 cost  price  of  4  pens  while  selling  20  pens 
 to  Ajay.  If  the  shopkeeper  had  purchased 
 20  pens  at  10%  less  price  and  had  sold 
 20  pens  to  Ajay  at  25%  more  than  the 
 selling  price,  then  how  much  percentage 
 would  he  have  gained  (rounded  off  to  1 
 decimal place)? 
 Graduate Level 28/06/2023 (Shift - 3) 
 (a) 8.0  (b) 11.1  (c) 10.0     (d) 12.5 
 Q.12.  Ten  refrigerators  and  four  mobile 
 phones  together  cost  ?2,10,000  while  six 
 refrigerators  and  two  mobile  phones 
 together  cost  ?1,22,000.  The  cost  (in  ?) 
 of one refrigerator and two mobile 
 phones is: 
 SSC CHSL Tier II (26/06/2023) 
 (a) 37000  (b) 35200 
 (c) 34500  (d) 36000 
 Q.13.  Mukesh  sells  two  shirts.  The  cost 
 price  of  the  ?rst  shirt  is  equal  to  the 
 selling  price  of  the  second  shirt.  The  ?rst 
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 Pinnacle  Day: 71st - 75th  Profit and Loss 
 shirt  is  sold  at  a  pro?t  of  20%  and  the 
 second  shirt  is  sold  at  a  loss  of  20%. 
 What  is  the  ratio  of  the  selling  price  of 
 the  ?rst  shirt  to  the  cost  price  of  the 
 second shirt? 
 SSC MTS 19/06/2023 (Afternoon) 
 (a) 18 : 25  (b) 97 : 100 
 (c) 24 : 25  (d) 27 : 50 
 Q.14.  Akshay  has  30  articles,  each 
 having the same cost price. He marked 
 the  price  of  each  article  at  30%  above  its 
 cost  price.  He  sold  15  of  the  articles  at  a 
 discount  of  20%  each  and  the  remaining 
 15  articles  at  a  discount  of  10%  each, 
 thereby  gaining  a  total  pro?t  of  ?630. 
 What was the cost price of each article? 
 SSC MTS 12/07/2022 (Morning) 
 (a) ? 240  (b) ? 180    (c) ? 280   (d) ? 200 
 Q.15.  A  dishonest  dealer  is  selling  sugar 
 at  Rs.  40  per  kg  and  pretending  that  he  is 
 selling  it  at  a  loss  of  Rs.  5  per  kg  but  he 
 actually  gives  800g  instead  of  1  kg,  using 
 a  faulty  weight.  What  is  his  actual  pro?t 
 or loss percent? 
 SSC CHSL  06/06/2022 (Afternoon) 
 (a) Gain, 11%  (b) Gain, 11  % 
 1 
 9 
 (c) Loss. 10  %  (d) Loss, 9  % 
 1 
 9 
 1 
 9 
 Q.16.  A  woman  sold  her  earphone  for  Rs. 
 2,000  and  got  a  percentage  pro?t  equal 
 to  the  numerical  value  of  cost  price.  The 
 cost price of the earphone is: 
 SSC CHSL 03/06/2022 (Morning) 
 (a) Rs. 500  (b) Rs. 200 
 (c) Rs. 600  (d) Rs. 400 
 Q.17.  A  manufacturer  sells  an  item  to  a 
 wholesale  dealer  at  a  pro?t  of  11%.  The 
 wholesaler  sells  the  same  to  a  retailer  at 
 a  pro?t  of  15%.  The  retailer  in  turn  sells  it 
 to  a  customer  for  ?17,045,  thereby 
 earning  a  pro?t  of  19%.  The  cost  price  of 
 the  manufacturer  is  (consider  integral 
 part only) : 
 SSC CHSL  26/05/2022 (Evening) 
 (a) ?13,520  (b) ?15,020 
 (c) ?10,200  (d) ?11,220 
 Q.18.  Aditya  sells  two  wrist  watches 
 from  his  personal  collection  for  ?12,600 
 each.  On  the  ?rst  watch  he  gains  26% 
 and  on  the  second  he  loses  10%.  Find  the 
 overall loss or pro?t percentage? 
 SSC CGL 12/04/2022 (Evening) 
 (a) Gain of 16%  (b) Gain of 5% 
 (c) Loss of 5%  (d) Gain  of 12% 
 Q.19.  Sushant  buys  goods  worth 
 Rs.8000.  He  gets  a  discount  of  10%  on 
 that  article.  After  getting  the  exemption, 
 he  pays  tax  at  the  rate  of  7.5%.  Find  the 
 amount  he  will  have  to  pay  for  this  goods 
 received  at  his  residence,  if  the 
 shopkeeper  charges  Rs.200  for  home 
 delivery. 
 SSC MTS 02/11/2021 (Morning) 
 (a) Rs.7940  (b) Rs.8155 
 (c) Rs.9660  (d) Rs.6851 
 Q.20.  The  difference  between  the  selling 
 prices  of  some  apples,  if  sold  for  ?12  per 
 apple  instead  of  ?9  per  apple,  is  ?870.  If 
 total  cost  price  of  all  the  apples  is 
 ?2,320, then ?nd the selling price of one 
 apple if the pro?t earned is 25% 
 SSC MTS 22/10/2021 (Afternoon) 
 (a) ?15  (b) ?10  (c) ?12  (d) ?8 
 Q.21.  Joseph  bought  two  woollen 
 jackets  for  Rs.  2100  and  Rs.  3150 
 respectively.  By  selling  the  ?rst  at  a  gain 
 of  k%  and  the  second  at  a  loss  of  k%,  he 
 found  the  selling  price  of  both  is  the 
 same. What is the value of k? 
 SSC CHSL 06/08/2021 (Morning) 
 (a) 20  (b) 22.64     (c) 15     (d) 25 
 Q.22.  When  an  article  is  sold  for  Rs.720, 
 there  is  a  pro?t  of  x%.  When  the  same 
 article  is  sold  for  Rs.750,  pro?t  is  (x  +  5)  %. 
 What is the value of x ? 
 SSC CHSL 21/10/2020 (Morning) 
 (a) 20  (b) 18          (c) 25          (d) 1 
 Q.23.  35%  of  goods  were  sold  at  a  pro?t 
 of  65%,  while  the  remaining  were  sold  at 
 x%  loss.  If  the  overall  loss  is  12%,  then 
 what  is  the  value  of  x?  (correct  to  one 
 decimal place) 
 SSC CGL Tier  II (13/09/2019) 
 (a) 51.8  (b) 50.6  (c) 53.5  (d) 52.4 
 Q.24.  How  many  kg  of  salt  costing  Rs.  28 
 per  kg  must  be  mixed  with  6.6  kg  of  salt 
 costing  Rs.  16  per  kg,  so  that  selling  the 
 mixture  at  Rs.  29.90,  there  is  a  gain  of 
 15%? 
 SSC CGL Tier  II (13/09/2019) 
 (a) 33  (b) 31  (c) 35  (d) 32 
 Q.25.  By  selling  two  articles  for  Rs  800,  a 
 person  gains  the  cost  price  of  three 
 articles. The pro?t percent is: 
 SSC CGL Tier  II (12/09/2019) 
 (a) 125  (b) 140  (c) 120  (d) 150 
 Q.26.  An  article  is  sold  at  a  certain  price. 
 If  it  is  sold  at  33  %  of  this  price,  there  is 
 1 
 3 
 a  loss  of  33  %.  What  is  the  percentage 
 1 
 3 
 pro?t  when  it  is  sold  at  60%  of  the  original 
 selling price? 
 SSC CGL Tier II (11/09/2019) 
 (a) 20  (b) 30  (c) 33  (d) 17 
 1 
 3 
 1 
 3 
 Q.27.  Sujata sold 25 articles for Rs. 1250 
 and  she  incurred  a  loss  of  10%.  How 
 many  articles  should  she  sell  for  Rs.  2600 
 so that she can get a pro?t of 17% ? 
 SSC MTS  20/08/2019 (Morning) 
 (a) 26  (b) 40  (c) 25  (d)42 
 Q.28.  The  sum  of  cost  prices  of  A  and  B 
 is  Rs.  1200.  The  sum  of  the  selling  prices 
 of  A  and  B  is  Rs.  1390.  If  the  pro?t  of  10% 
 and  20%  is  obtained  on  A  and  B 
 respectively,  then  ?nd  the  ratio  between 
 the cost prices of A and B. 
 SSC MTS 19/08/2019 (Afternoon) 
 (a) 5 : 7  (b) 5 : 9     (c) 7 : 13    (d) 6 : 11 
 Q.29.  A  shopkeeper  earns  the  same 
 percent  of  pro?t  as  well  as  loss  by  selling 
 two  similar  pieces  of  furniture  for  Rs 
 18000  and  Rs  10000,  respectively.  At 
 what  price  should  he  sell  it  to  earn  a  pro?t 
 of 50%? 
 SSC MTS 14/08/2019 (Afternoon) 
 (a) Rs 21,000  (b) Rs 20,250 
 (c) Rs 21,750  (d) Rs 19,500 
 Q.30.  A  shopkeeper  gains  400%  on  a 
 transaction.  If  the  cost  increases  by  100% 
 and  there  is  no  change  in  the  selling  price, 
 then  ?nd  the  ratio  between  new  pro?t  and 
 selling price. 
 SSC MTS 14/08/2019 (Morning) 
 (a) 1 : 3  (b) 2 : 5  (c) 3 : 5  (d) 1 : 2 
 Q.31.  Parikh  sold  his  pen  at  a  pro?t  of  Rs 
 11.  He  calculated  the  pro?t  percentage  on 
 selling  price  and  found  it  to  be  25%.  the 
 cost price (in Rs) of the pen is: 
 SSC MTS 13/08/2019 (Afternoon) 
 (a) 33  (b) 24  (c) 36  (d) 44 
 Q.32.  If  20%  of  the  goods  are  sold  at  50% 
 pro?t,  40%  of  the  goods  at  20%  loss,  20% 
 of  the  goods  at  5%  loss  and  the 
 remaining  at  no  loss  or  no  pro?t,  then  the 
 overall pro?t percentage is: 
 SSC MTS  09/08/2019 (Afternoon) 
 (a) 5%  (b) 8%  (c) 4%  (d) 1% 
 Q.33.  Two  articles  were  sold  for  Rs  2400 
 each  by  a  shopkeeper.  The  shopkeeper 
 incurred  no  pro?t  and  no  loss  on  the 
 whole  transaction.  If  one  of  the  two 
 articles  sold  at  a  pro?t  of  20%,  then  what 
 was the loss incurred on the other article? 
 SSC MTS  07/08/2019 (Afternoon) 
 (a) 600   (b) 400  (c) 380  (d) 240 
 Q.34.  P  sold  an  article  to  Q  at  a  pro?t  of 
 20%.  Q  sold  the  same  article  to  R  at  a  loss 
 of  25%.  R  sold  the  same  article  to  T  at  a 
 pro?t  of  50%.  If  P  bought  the  article  at  Rs 
 100,  then  at  what  price  did  T  buy  that 
 article? 
 SSC MTS  06/08/2019 (Evening) 
 (a) 145  (b) 125  (c)115  (d) 135 
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 Pinnacle  Day: 71st - 75th  Profit and Loss 
 Q.35.  A  sold  an  article  on  15%  pro?t  for 
 Rs.  1495.  He  purchased  another  article 
 whose  cost  price  was  equal  to  that  of  the 
 ?rst  article.  He  sold  this  new  article  at 
 10% pro?t. What is the total pro?t of A ? 
 SSC MTS  05/08/2019 (Afternoon) 
 (a) 325  (b) 450  (c) 375  (d) 425 
 Q.36.  The  cost  prices  of  article  A  and 
 article  B  are  Rs.  1200  and  Rs.  1600 
 respectively.  The  selling  price  of  article  A 
 is  Rs.  1380  and  the  total  pro?t  after 
 selling  both  the  articles  is  25%.  What  is 
 the pro?t percentage on the article B ? 
 SSC MTS  05/08/2019 (Afternoon) 
 (a) 27.5  (b) 32.5  (c) 29.5  (d) 35.5 
 Q.37.  An  article  is  sold  for  Rs  6500  so  as 
 to  earn  a  pro?t  of  4%.  A  second  article 
 whose  cost  price  is  Rs  3750,  is  sold  at  a 
 loss  of  4%.  What  is  the  overall  gain  or 
 loss percent in the whole transaction? 
 SSC MTS 05/08/2019 (Morning) 
 (a) Gain 45%  (b) Loss 1% 
 (c) Loss 4%  (d) Gain 1% 
 Q.38.  A  man  bought  three  articles  for  Rs 
 3,000  each.  He  sold  the  articles 
 respectively  at  10%  pro?t,  5%  pro?t  and 
 15%  loss.  The  total  percentage  pro?t/loss 
 he earned is: 
 SSC CHSL 08/07/2019 (Evening) 
 (a) 10% loss  (b) 5% loss 
 (c) 5% pro?t  (d) No pro?t no loss 
 Q.39.  Two  articles  are  sold  for  Rs.9,720 
 each.  On  one,  the  seller  gains  8%  and  on 
 the  other,  he  loses  10%.  What  is  his 
 overall gain or loss? 
 SSC CGL 10/06/2019 (Afternoon) 
 (a) Rs.380 gain  (b) Rs.380 loss 
 (c) Rs.360 loss  (d) Rs.360 gain 
 Q.40.  A  person  sells  an  article  at  a  pro?t 
 of  12%.  If  he  had  purchased  it  for  12% 
 less  and  sold  it  for  Rs.9  less,  he  would 
 have  gained  27%.  What  is  the  original 
 cost price of the article? 
 SSC CGL  07/06/2019 (Evening) 
 (a) 4,250  (b) 4,000   (c) 4,500   (d) 3,750 
 Q.41.  Sushma  bought  6  tables  and  12 
 chairs  for  Rs.12000.  She  sold  the  tables 
 at  a  pro?t  of  15%  and  the  chairs  at  a  loss 
 of  10%.  If  her  total  gain  was  300,  then  the 
 total cost of the tables was: 
 SSC CGL 07/06/2019 (Morning) 
 (a) 6000  (b) 5000  (c) 5400   (d) 4800 
 Q.42.  Abhi  bought  two  articles  for  Rs.624. 
 He  sold  one  at  a  loss  of  14%  and  the 
 other  at  a  pro?t  of  14%.  If  the  selling  price 
 of  both  the  articles  is  equal,  then  the 
 difference  between  their  cost  prices  (in 
 Rs) is: 
 SSC CGL 06/06/2019 (Afternoon) 
 (a) 89.64  (b) 87.36   (c) 89.68   (d) 88.84 
 Q.43.  The  marked  price  of  an  article  is  Rs. 
 315.  It  is  sold  for  Rs.  288.  If  there  is  a  loss 
 of  4%,  then  by  what  percent  above  the 
 cost is the article marked? 
 SSC CGL  04/06/2019 (Afternoon) 
 (a) 5  (b) 8  (c) 6  (d) 5 
 1 
 2 
 1 
 2 
 Q.44.  A  person  sold  an  article  at  a  loss  of 
 15%.  Had  he  sold  it  for  Rs.  30.60  more,  he 
 would  have  gained  9%.  To  gain  10%,  he 
 should have sold it for: 
 SSC CGL  04/06/2019 (Morning) 
 (a) Rs. 140.25  (b) Rs. 132 
 (c) Rs. 130  (d) Rs. 128.40 
 Q.45.  A  bought  38  kg.  Rice  at  Rs. 
 54.50/kg,  45  Kg  rice  at  Rs.  62/kg,  and  55 
 kg  rice  at  Rs.  48/kg  .  He  sold  the  mixture 
 at  Rs.  65/kg.  His  loss  or  pro?t  percentage 
 is: 
 SSC CPO 16/03/2019 (Morning) 
 (a) Loss 1.04  (b) Loss 1.7 
 (c) Pro?t 19.6  (d) Pro?t 16.8 
 Q.46.  Three  partners  A,  B  and  C  share 
 pro?t  and  losses  in  the  ratio  3:4:7  If  the 
 pro?t  for  the  year  before  charging  30%  tax 
 is  Rs.  1,10,166  What  is  B’s  share  of  pro?t 
 after tax? 
 SSC CPO 16/03/2019 (Morning) 
 (a) Rs.9442.80  (b) Rs.31476 
 (c) Rs.22033.20  (d) Rs.24673.10 
 Q.47.  A  cyclist  sells  3  cycles  at  the  loss 
 of  Rs.  129  per  bicycle  and  12  cycles  on 
 the  pro?t  of  516  per  cycle.  If  the  total 
 pro?t  on  all  the  bicycles  sold  is  15%,  then 
 what will be the cost per cycle? 
 SSC CPO 14/03/2019 (Evening) 
 (a) 2960  (b) 3870  (c) 2580   (d) 4440 
 Q.48.  A  manufacturer  sells  the  product  to 
 a  wholesaler  at  6%  pro?t,  the  wholesaler 
 sells  the  product  to  a  retailer  at  8%  pro?t 
 and  the  retailer  sells  the  product  to  his 
 customer  at  10%  pro?t.  The  price  paid  by 
 the  customer  is  Rs  31,482.  The  cost  of 
 the product to the manufacturer is: 
 SSC CPO 14/03/2019 (Morning) 
 (a) 28,306  (b) 26,524 
 (c) 25,000  (d) 26,980 
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.49.  The  cost  of  4  chairs  and  3  tables  is 
 ?2,100  and  the  cost  of  5  chairs  and  2 
 tables  is  ?1,750.  Find  the  cost  (  in  ?)  of  a 
 chair. 
 SSC CHSL Tier II  02/11/2023 
 (a) 150  (b) 130  (c) 140  (d) 125 
 Q.50.  A  shopkeeper  sold  his  goods  at 
 half  the  list  price  and  thus  lost  17%.  If  he 
 had  sold  on  the  listed  price,  then  his  gain 
 percentage would be: 
 SSC CHSL Tier II  02/11/2023 
 (a) 17%  (b) 41%  (c) 83%  (d) 66% 
 Q.51.  Sohan  sells  sugar  at  the  cost  price 
 but  uses  false  weights  thus  gaining  28% 
 pro?t.  How  many  grams  of  sugar  is  he 
 giving for 3.2 kg sugar? 
 SSC CHSL Tier II  10/01/2024 
 (a) 1500    (b) 1900    (c) 2200    (d) 2500 
 SSC CGL 2023 Tier - 2 
 Q.52.  Two  friends  A  and  B  started  a 
 business  by  investing  ?1,50,000  and 
 ?2,50,000,  respectively.  They  agreed  to 
 distribute  their  earnings  in  the  same  ratio 
 of  their  investments.  After  an  year,  the 
 pro?t  earned  was  ?6,00,000.  Each  of 
 them  added  ?50,000  to  their  respective 
 pro?ts  and  invested  in  a  different  project. 
 If  this  project  gave  an  yield  of  ?4,20,000, 
 then A’s share in the pro?t is: 
 SSC CGL Tier II  (26/10/2023) 
 (a) ?2,35,000  (b) ?1,65,000 
 (c) ?1,97,000  (d) ?1,84,000 
 SSC CPO 2023 Tier - 1 
 Q.53.  The  ?rst  shirt  is  sold  at  twice  the 
 selling  price  of  the  second  shirt.  The  ?rst 
 shirt  is  sold  at  8%  pro?t  and  the  second 
 shirt  is  sold  at  a  3%  loss.  What  is  the 
 overall  percentage  pro?t  on  the  shirts 
 (Rounded off to two decimal places)?\ 
 SSC CPO 03/10/2023 (1st Shift) 
 (a) 4.60%  (b) 4.07%  (c) 3.86%  (d) 4.86% 
 Q.54.  Sukhvir  purchased  some 
 perishable  items  for  sale  but  30%  of 
 those  items  could  not  be  sold  and  went 
 bad.  However,  Sukhvir  managed  to  sell 
 the  rest  of  the  items  at  a  price  that 
 helped  him  earn  an  overall  pro?t  of  19%. 
 At  what  percentage  above  the  cost  price 
 of  each  item  purchased  by  Sukhvir  did  he 
 sell  each  of  the  items  that  did  not  go 
 bad? 
 SSC CPO 03/10/2023 (2nd  Shift) 
 (a) 49%   (b) 70%   (c) 75%   (d) 63% 
 Q.55.  If  the  difference  between  the 
 selling  prices  of  an  article  at  pro?ts  of 
 10%  and  7%  is  ?6,  then  the  cost  price  (in 
 ?) of the article is: 
 SSC CPO 03/10/2023 (2nd  Shift) 
 (a) 175  (b) 150  (c) 200  (d) 100 
 Q.56.  Mayur  sold  a  watch  at  a  pro?t  of 
 7%.  If  he  had  sold  it  for  ?1,329  more,  he 
 would have gained 57%. Find the cost 
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 Pinnacle  Day: 71st - 75th  Profit and Loss 
 price (in ?) of the watch. 
 SSC CPO 03/10/2023 (3rd Shift) 
 (a) 2856  (b) 2658  (c) 2580  (d) 2420 
 Q.57.  After  deducing  a  commission  of 
 20%,  a  DVD  set  costs  ?9,080.  Its  marked 
 price is: 
 SSC CPO 04/10/2023 (1st Shift) 
 (a) ?11,350  (b) ?10,100 
 (c) ?10,000  (d) ?11,200 
 Q.58.  A  dealer  sells  his  goods  at  10% 
 loss  on  the  cost  price  but  uses  25%  less 
 weight. What is his pro?t percentage ? 
 SSC CPO 04/10/2023 (1st Shift) 
 (a) 20%   (b) 35%   (c) 25%   (d) 15% 
 Q.59.  Avi  sold  a  house  to  Bhargav  at  a 
 gain  of  10%  and  Bhargav  sold  it  to 
 Chetan  at  a  gain  of  20%.  If  Chetan  paid 
 ?2,64,00,000  for  it,  then  at  what  price 
 must Avi have purchased it ? 
 SSC CPO 04/10/2023 (1st Shift) 
 (a) ?2,50,00,000     (b) ?1,75,00,000 
 (c) ?2,30,00,000     (d) ?2,00,00,000 
 Q.60.  A  vendor  marked  the  selling  price 
 of  a  table  at  ?5,670  after  adding  35% 
 pro?t  to  its  cost  price.  Since  the  sale  was 
 very  low  at  this  price  level,  he  decided  to 
 sell  the  table  with  12%  pro?t.  Find  the 
 new selling price (in ?). 
 SSC CPO 04/10/2023 (2nd Shift) 
 (a) 4,750  (b) 4,608  (c) 4,810  (d) 4,704 
 Q.61.  The  price  of  a  land  passing  through 
 three  hands  rises  on  the  whole  by  65%. 
 The  ?rst  and  second  sellers  earned  20% 
 and  25%  pro?t,  respectively.  Find  the 
 pro?t  percentage  earned  by  the  third 
 seller. 
 SSC CPO 04/10/2023 (2nd Shift) 
 (a) 15%      (b) 20%      (c) 10%      (d) 25% 
 Q.62.  By  selling  42  m  of  cloth,  Vijay  gains 
 the  selling  price  of  7  m  of  cloth.  Find  the 
 pro?t percentage. 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 20%    (b) 30%    (c) 25%    (d) 15% 
 Q.63.  A  shopkeeper  increases  the  cost 
 price  of  an  item  by  50%  and  offers  a 
 discount  of  40%  on  this  marked  price. 
 What is his loss percentage ? 
 SSC CPO 05/10/2023 (1st Shift) 
 (a) 15%    (b) 10%    (c) 5%    (d) 20% 
 Q.64.  Mihir  buys  a  book  for  ?625. 
 However,  because  of  certain  urgency,  he 
 sells  it  for  ?550.  Find  his  loss 
 percentage. 
 SSC CPO 05/10/2023 (1st Shift) 
 (a) 10%    (b) 12%    (c) 14%    (d) 15% 
 Q.65.  Mahesh  agreed  to  sell  rice  with 
 24%  loss,  as  the  rice  got  rotten.  However, 
 he  cheated  customers  and  gave  only  19 
 gm  of  rice  in  place  of  50  gm  of  rice.  What 
 is the percentage of his pro?t or loss ? 
 SSC CPO 05/10/2023 (1st Shift) 
 (a) 100 % loss  (b)  % pro?t 
 100 
 3 
 (c) 100 % pro?t  (d)  % loss 
 100 
 3 
 Q.66.  By  selling  a  table  for  ?1,596,  Aarav 
 loses  24%.  At  what  price  (in  ?)  should  he 
 sell it to gain 24%? 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 2604   (b) 1979   (c) 3196   (d) 3024 
 Q.67.  Arbind  has  650  kg  of  wheat.  A  part 
 of  which  he  sells  at  9%  pro?t  and  the  rest 
 at  19%  pro?t  to  get  15%  pro?t  on  the 
 whole.  What  is  the  quantity  (in  kg)  of 
 wheat sold by Arbind at 9% pro?t? 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 260  (b) 390  (c) 195  (d) 455 
 Q.68.  A  person  sold  two  cars  for  ?60,000 
 each.  On  one,  he  gained  20%  while  on  the 
 other  he  lost  20%.  Find  the  percentage  of 
 his gain or loss. 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) No pro?t and no loss  (b) Loss 4% 
 (c) Loss 2%                        (d) Gain 4% 
 Q.69.  A  shopkeeper  sells  sugar  at  ?40 
 per  kg,  which  he  purchased  at  ?36  per  kg. 
 His  weighing  machine  is  faulty  and  it 
 weighs  only  800  gm  while  selling.  His 
 percentage  pro?t  (correct  to  2  decimal 
 places) is: 
 SSC CPO 05/10/2023 (3rd Shift) 
 (a) 40%  (b) 37.58% (c) 38.89% (d) 39.28% 
 Q.70.  Ankita  sold  three  toys.  The  ?rst  toy 
 was  sold  for  ?1,500  at  a  pro?t  of  25%;  the 
 second  toy  was  sold  for  ?2,800  at  a  loss 
 of  50%  and  the  third  toy  was  sold  for 
 ?3,500  at  a  pro?t  of  25%.  Find  her  total 
 pro?t or loss percentage. 
 SSC CPO 05/10/2023 (3rd Shift) 
 (a) 15.25% pro?t  (b) 18.75% loss 
 (c) 18.75% pro?t  (d) 15.25% loss 
 SSC MTS 2023 Tier - 1 
 Q.71.  Raju  sold  an  article  to  Ravi  at  10% 
 gain.  Ravi  sold  the  article  to  Ramu  at  a 
 loss  of  10%.  If  Ramu  paid  ?1,485  to  Ravi, 
 ?nd the selling price of Raju to Ravi. 
 SSC MTS 01/09/2023 (1st Shift) 
 (a) ?1,200 (b) ?1,500 (c) ?1,650 (d) ?1,600 
 Q.72.  Samridhi  sold  a  gold  ring  at  a  loss 
 of  26%.  If  the  cost  price  of  the  gold  ring 
 is ?38,500, what is the selling price of the 
 gold ring? 
 SSC MTS 01/09/2023 (2nd Shift) 
 (a) ?28,490  (b) ?30,500 
 (c) ?29,590  (d) ?38,600 
 Q.73.  Shobha  purchased  a  small  plot  in  a 
 residential  area  for  ?6,00,000  and  sold  it 
 to  Lakshita  at  a  pro?t  of  20%.  Lakshita,  in 
 turn,  sold  it  to  Dinesh  at  a  loss  of  10%. 
 How much did Dinesh pay for the plot ? 
 SSC MTS 01/09/2023 (2nd Shift) 
 (a) ?6,40,000  (b) ?6,48,000 
 (c) ?6,08,000  (d) ?6,00,000 
 Q.74.  The  cost  price  of  an  article  is 
 ?1,120.  After  allowing  a  discount  of  ?205 
 a  gain  of  15%  was  made,  then  the 
 marked price of the article is: 
 SSC MTS 01/09/2023 (3rd Shift) 
 (a) ?1,760 (b) ?1,493 (c) ?1,350 (d) ?1,580 
 Q.75.  A  manufacturer  earns  a  pro?t  of 
 10%  on  selling  his  products  to  a 
 wholesale  dealer.  The  wholesale  dealer 
 earns  a  pro?t  of  15%  by  selling  it  to  a 
 retailer.  The  retailer,  in  turn,  earns  a  pro?t 
 of  25%  from  the  customer.  What  is  the 
 actual  cost  of  production  of  an  article  for 
 which the customer pays ?12,650 ? 
 SSC MTS 04/09/2023 (1st Shift) 
 (a) ?8,000 (b) ?8,500 (c) ?9,000 (d) ?7,000 
 Q.76.  By  selling  a  TV  set  for  ?16,800,  a 
 salesman  gains  a  pro?t  of  20%.  If  the 
 production  cost  is  increased  by  20%,  ?nd 
 the  new  selling  price  of  the  set  so  as  to 
 gain 20%. 
 SSC MTS 04/09/2023 (1st Shift) 
 (a) ?18,160  (b) ?18,480 
 (c) ?20,160  (d) ?20,480 
 Q.77.  A  grocer  purchased  50  kg  of  sugar 
 at  ?40  per  kg  and  mixed  with  70  kg  of 
 sugar  at  ?30  per  kg.  At  what  rate  should 
 he sell the mixture (per kg) to gain 20%? 
 SSC MTS 04/09/2023 (2nd Shift) 
 (a) ?60  (b) ?20  (c) ?35  (d) ?41 
 Q.78.  The  marked  price  of  mustard  oil  is 
 10%  more  than  its  cost  price.  At  what 
 percentage  less  than  the  marked  price 
 should  it  be  sold  to  have  no  pro?t  and  no 
 loss? 
 SSC MTS 04/09/2023 (3rd Shift) 
 (a) 9  %  (b) 9  % 
 3 
 11 
 2 
 11 
 (c) 9  %  (d) 9  % 
 1 
 11 
 4 
 11 
 Q.79.  A  store  sells  an  item  for  ?500, 
 making  a  pro?t  of  25%.  Later,  the  store 
 reduces  the  price  of  the  item  by  20%  to 
 clear  out  old  inventory.  What  is  the  new 
 percentage pro?t or loss for the store? 
 SSC MTS 04/09/2023 (3rd Shift) 
 (a) 2% pro?t  (b) 5% pro?t 
 (c) 5% loss  (d) No pro?t, no loss 
 Q.80.  Vaishali booked a bus ticket for 
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Page 5


 Pinnacle  Day: 71st - 75th  Profit and Loss 
 Profit and Loss 
 1.  Pro?t incurs when SP (selling price) is 
 more than CP (cost price). 
 2.  Pro?t =  SP – CP 
 3.  Loss incurs when CP is more than SP 
 i.e. Loss = CP – SP 
 4.  % Pro?t = 
 ???????????? 
 ???? 
    ×     100 
 5.  % Loss = 
 ???????? 
 ???? 
    ×     100 
 6.  Pro?t or Loss is always calculated on 
 cost price. 
 7.  ???? = ????     ×    
 100        ±        ????????????     /     ????????     % 
 100 
 8.  ???? = ????     ×    
 100 
 100        ±        ????????????  /  ????????     % 
 Note:  In  case  of  pro?t  you  must  add  and 
 in  case  of  loss  subtract  in  above  two 
 formulas. 
 9.  When  instead  of  amount,  number  of 
 goods sold are given then, 
 Percentage pro?t 
 = 
 ??????????????????     ?????????? 
 ??????????     ???????? 
 ×     100 
 10.  When  two  products  are  sold  at  same 
 selling  price,  one  at  a  loss  of  %  and  ?? 
 other  at  a  pro?t  of  %  then  net  result  is  ?? 
 always loss, which is equal to : 
 Net result =  (  )% 
 ?? 
 2 
 100 
 11.  When  two  products  are  sold  at  same 
 selling  price,  one  at  a  loss/pro?t  of  %  ?? 
 and  other  at  a  loss/pro?t  of  %  then  net  ?? 
 result is equal to : 
 Net result =  {  }% 
 100 ( ??    +    ?? )   +    2  ???? 
 200    +    ??    +    ?? 
 Note :-  Take  +ve sign  Pro?t  and ?
 -ve sign  Loss ?
 12.  Marked  Price  -  Discount  =  Selling 
 Price 
 13.  Discount  is  always  calculated  on 
 Marked price. So, Discount % 
 = 
 ????????????????    
 ????????????     ?????????? 
 ×     100 
 14.  In  case  of  Trade  Discount  and  Cash 
 Discount,  ?rst  deduct  the  Trade  Discount 
 and  then  calculate  the  Cash  Discount  on 
 the remaining amount. 
 15.  If  a  trader  profess  to  sell  goods  at 
 cost price but uses false weights, then 
 Pro?t percentage 
 =  , 
 ?????????? 
 ????????     ??????????    -    ?????????? 
 ×     100 
 where Error = True value - False value 
 16.  = 
 ???? 
 ???? 
    100    -    ????????????????     % 
 100        ±        ????????????     /     ????????     % 
 Variety Questions 
 Q.1.  A  sells  a  watch  to  B  at  a  pro?t  of 
 33%  and  B  sells  it  to  C  at  a  loss  of  20%.  If 
 C pays ?532, then what was the cost 
 price for A? 
 SSC CHSL Tier II  10/01/2024 
 (a) ?500   (b) ?800   (c) ?400   (d) ?600 
 Q.2.  B  purchased  15  kg  apples  at  the  rate 
 of  ?180  per  kg  from  a  wholesaler  who 
 uses  a  weight  of  950  grams  for  the  kg 
 weight.  B  sold  all  these  apples  at  ?180 
 per  kg  but  used  a  weight  of  750  grams 
 for  the  kg  weight.  Find  the  percentage 
 pro?t  earned  by  B  in  the  transaction 
 (correct to 2 places of decimal). 
 SSC CGL Tier II  (26/10/2023) 
 (a) 22.55%  (b) 25.75% 
 (c) 33.33%  (d) 26.67% 
 Q.3.  Aditya  sold  article  X  at  a  pro?t  of 
 23%  and  article  Y  at  a  loss  of  13%.  He 
 earned  a  pro?t  of  ?180  in  the  entire 
 transaction.  If  article  X  costs  ?90  less 
 than  article  Y,  then  what  is  the  price  of 
 article Y (in ? )? 
 SSC CPO 03/10/2023 (3rd Shift) 
 (a) 2,007 (b) 2,050 (c) 2,100 (d) 2,020 
 Q.4.  Arun  brought  50  kg  of  rice  at  a 
 discount  of  15%  on  the  marked  price.  For 
 purchasing  bulk  quantity,  he  was  given  5 
 kg  of  wheat  (the  marked  price  of  which 
 was  60%  the  marked  price  of  rice)  free  of 
 cost.  Had  the  retailer  sold  both  items  at 
 their  marked  price  to  his  other 
 customers,  then  approximately  what 
 would  be  the  pro?t  percentage  that  the 
 shopkeeper could earn ? 
 SSC CHSL 14/08/2023 (1st Shift) 
 (a) 24.7% (b) 25.2% (c) 22.8% (d) 23.5% 
 Q.5.  A  fruit  seller  buys  480  bananas  for 
 ?1,200.  Some  of  these  bananas  are 
 rotten  and  hence,  they  are  thrown  away. 
 He  sells  the  remaining  bananas  at  ?3.5 
 each  and  makes  a  pro?t  of  ?396.  What  is 
 the percentage of bananas thrown away? 
 SSC CHSL 11/08/2023 (4th Shift) 
 (a) 6%  (b) 4.5 %  (c) 5 %      (d) 4 % 
 Q.6.  A  tailor  buys  lining  clothes  from  a 
 wholesale  merchant  and  cheats  him  by 
 using  a  measurement  tape  which  is  5  cm 
 longer  than  the  normal  tape.  The  tailor 
 offers  the  customers  at  cost  price  while 
 stitching  different  garments  and  uses 
 measurements  tape  which  is  5  cm 
 shorter than the normal tape. The gain 
 percent is: 
 SSC CHSL 03/08/2023 (3rd Shift) 
 (a) 15%  (b)  %  (c) 10%  (d)  %  10 
 10 
 25 
 10 
 10 
 19 
 Q.7.  Rini  has  mixed  two  colours  '  '  and  '  ?? 
 1 
 '  in  the  ratio  2  :  3.  If  the  rate  of  the  ?? 
 2 
 colour  '  '  is  ?500  per  unit  and  she  is  ?? 
 1 
 selling  the  mixture  of  the  two  colours  at 
 ?650  per  unit  at  breakeven  price,  then 
 what  is  the  rate  (in  ?)  per  unit  of  the 
 second colour, that is, '  '?  ?? 
 2 
 SSC CGL 27/07/2023 (1st shift) 
 (a) 750  (b) 725  (c) 760  (d) 765 
 Q.8.  A  shopkeeper  purchased  1600 
 mangos  at  the  rate  of  ?120  per  dozen. 
 Out  of  these,  he  sold  900  mangoes  at 
 ?15  per  mango  and  the  remaining 
 mangoes  at  ?14  per  mango.  His  gain 
 percentage is: 
 SSC CGL 25/07/2023 (4th shift) 
 (a) 45.625%  (b) 38.265% 
 (c) 35.625%  (d) 48.765% 
 Q.9.  A  shopkeeper  bought  a  certain 
 number  of  apples  for  Rs.3,600.  He  sold 
 one  -  ?fth  of  them  at  a  loss  of  10%, 
 one-fourth  of  the  remaining  apples  at  a 
 loss  of  5%,  and  two-third  of  the  rest  at  a 
 pro?t  of  15%.  At  what  price  (in  Rs.) 
 should  he  sell  the  remaining  apples  to 
 earn a pro?t of 27% overall? 
 SSC CGL 25/07/2023 (1st shift) 
 (a) 1,548  (b) 1,584  (c) 1,845  (d) 1,864 
 Q.10.  A  retailer  announces  a  discount  of 
 30%  for  selling  an  air-conditioner  marked 
 at  92,000.  The  cost  price  of  the  ? 
 air-conditioner  is  70%  below  the  marked 
 price.  He  offers  a  further  discount  of  20% 
 if  the  buyer  presents  his  membership 
 card  of  the  retailer's  store.  The  pro?t  of 
 the  retailer  with  the  membership  card 
 scheme  is  what  percentage  of  the  pro?t 
 of  the  retailer  without  the  membership 
 card scheme? 
 SSC CGL 20/07/2023 (3rd shift) 
 (a) 62%    (b) 65%    (c) 70%    (d) 74% 
 Q.11.  A  shopkeeper  is  incurring  a  loss  of 
 cost  price  of  4  pens  while  selling  20  pens 
 to  Ajay.  If  the  shopkeeper  had  purchased 
 20  pens  at  10%  less  price  and  had  sold 
 20  pens  to  Ajay  at  25%  more  than  the 
 selling  price,  then  how  much  percentage 
 would  he  have  gained  (rounded  off  to  1 
 decimal place)? 
 Graduate Level 28/06/2023 (Shift - 3) 
 (a) 8.0  (b) 11.1  (c) 10.0     (d) 12.5 
 Q.12.  Ten  refrigerators  and  four  mobile 
 phones  together  cost  ?2,10,000  while  six 
 refrigerators  and  two  mobile  phones 
 together  cost  ?1,22,000.  The  cost  (in  ?) 
 of one refrigerator and two mobile 
 phones is: 
 SSC CHSL Tier II (26/06/2023) 
 (a) 37000  (b) 35200 
 (c) 34500  (d) 36000 
 Q.13.  Mukesh  sells  two  shirts.  The  cost 
 price  of  the  ?rst  shirt  is  equal  to  the 
 selling  price  of  the  second  shirt.  The  ?rst 
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 Pinnacle  Day: 71st - 75th  Profit and Loss 
 shirt  is  sold  at  a  pro?t  of  20%  and  the 
 second  shirt  is  sold  at  a  loss  of  20%. 
 What  is  the  ratio  of  the  selling  price  of 
 the  ?rst  shirt  to  the  cost  price  of  the 
 second shirt? 
 SSC MTS 19/06/2023 (Afternoon) 
 (a) 18 : 25  (b) 97 : 100 
 (c) 24 : 25  (d) 27 : 50 
 Q.14.  Akshay  has  30  articles,  each 
 having the same cost price. He marked 
 the  price  of  each  article  at  30%  above  its 
 cost  price.  He  sold  15  of  the  articles  at  a 
 discount  of  20%  each  and  the  remaining 
 15  articles  at  a  discount  of  10%  each, 
 thereby  gaining  a  total  pro?t  of  ?630. 
 What was the cost price of each article? 
 SSC MTS 12/07/2022 (Morning) 
 (a) ? 240  (b) ? 180    (c) ? 280   (d) ? 200 
 Q.15.  A  dishonest  dealer  is  selling  sugar 
 at  Rs.  40  per  kg  and  pretending  that  he  is 
 selling  it  at  a  loss  of  Rs.  5  per  kg  but  he 
 actually  gives  800g  instead  of  1  kg,  using 
 a  faulty  weight.  What  is  his  actual  pro?t 
 or loss percent? 
 SSC CHSL  06/06/2022 (Afternoon) 
 (a) Gain, 11%  (b) Gain, 11  % 
 1 
 9 
 (c) Loss. 10  %  (d) Loss, 9  % 
 1 
 9 
 1 
 9 
 Q.16.  A  woman  sold  her  earphone  for  Rs. 
 2,000  and  got  a  percentage  pro?t  equal 
 to  the  numerical  value  of  cost  price.  The 
 cost price of the earphone is: 
 SSC CHSL 03/06/2022 (Morning) 
 (a) Rs. 500  (b) Rs. 200 
 (c) Rs. 600  (d) Rs. 400 
 Q.17.  A  manufacturer  sells  an  item  to  a 
 wholesale  dealer  at  a  pro?t  of  11%.  The 
 wholesaler  sells  the  same  to  a  retailer  at 
 a  pro?t  of  15%.  The  retailer  in  turn  sells  it 
 to  a  customer  for  ?17,045,  thereby 
 earning  a  pro?t  of  19%.  The  cost  price  of 
 the  manufacturer  is  (consider  integral 
 part only) : 
 SSC CHSL  26/05/2022 (Evening) 
 (a) ?13,520  (b) ?15,020 
 (c) ?10,200  (d) ?11,220 
 Q.18.  Aditya  sells  two  wrist  watches 
 from  his  personal  collection  for  ?12,600 
 each.  On  the  ?rst  watch  he  gains  26% 
 and  on  the  second  he  loses  10%.  Find  the 
 overall loss or pro?t percentage? 
 SSC CGL 12/04/2022 (Evening) 
 (a) Gain of 16%  (b) Gain of 5% 
 (c) Loss of 5%  (d) Gain  of 12% 
 Q.19.  Sushant  buys  goods  worth 
 Rs.8000.  He  gets  a  discount  of  10%  on 
 that  article.  After  getting  the  exemption, 
 he  pays  tax  at  the  rate  of  7.5%.  Find  the 
 amount  he  will  have  to  pay  for  this  goods 
 received  at  his  residence,  if  the 
 shopkeeper  charges  Rs.200  for  home 
 delivery. 
 SSC MTS 02/11/2021 (Morning) 
 (a) Rs.7940  (b) Rs.8155 
 (c) Rs.9660  (d) Rs.6851 
 Q.20.  The  difference  between  the  selling 
 prices  of  some  apples,  if  sold  for  ?12  per 
 apple  instead  of  ?9  per  apple,  is  ?870.  If 
 total  cost  price  of  all  the  apples  is 
 ?2,320, then ?nd the selling price of one 
 apple if the pro?t earned is 25% 
 SSC MTS 22/10/2021 (Afternoon) 
 (a) ?15  (b) ?10  (c) ?12  (d) ?8 
 Q.21.  Joseph  bought  two  woollen 
 jackets  for  Rs.  2100  and  Rs.  3150 
 respectively.  By  selling  the  ?rst  at  a  gain 
 of  k%  and  the  second  at  a  loss  of  k%,  he 
 found  the  selling  price  of  both  is  the 
 same. What is the value of k? 
 SSC CHSL 06/08/2021 (Morning) 
 (a) 20  (b) 22.64     (c) 15     (d) 25 
 Q.22.  When  an  article  is  sold  for  Rs.720, 
 there  is  a  pro?t  of  x%.  When  the  same 
 article  is  sold  for  Rs.750,  pro?t  is  (x  +  5)  %. 
 What is the value of x ? 
 SSC CHSL 21/10/2020 (Morning) 
 (a) 20  (b) 18          (c) 25          (d) 1 
 Q.23.  35%  of  goods  were  sold  at  a  pro?t 
 of  65%,  while  the  remaining  were  sold  at 
 x%  loss.  If  the  overall  loss  is  12%,  then 
 what  is  the  value  of  x?  (correct  to  one 
 decimal place) 
 SSC CGL Tier  II (13/09/2019) 
 (a) 51.8  (b) 50.6  (c) 53.5  (d) 52.4 
 Q.24.  How  many  kg  of  salt  costing  Rs.  28 
 per  kg  must  be  mixed  with  6.6  kg  of  salt 
 costing  Rs.  16  per  kg,  so  that  selling  the 
 mixture  at  Rs.  29.90,  there  is  a  gain  of 
 15%? 
 SSC CGL Tier  II (13/09/2019) 
 (a) 33  (b) 31  (c) 35  (d) 32 
 Q.25.  By  selling  two  articles  for  Rs  800,  a 
 person  gains  the  cost  price  of  three 
 articles. The pro?t percent is: 
 SSC CGL Tier  II (12/09/2019) 
 (a) 125  (b) 140  (c) 120  (d) 150 
 Q.26.  An  article  is  sold  at  a  certain  price. 
 If  it  is  sold  at  33  %  of  this  price,  there  is 
 1 
 3 
 a  loss  of  33  %.  What  is  the  percentage 
 1 
 3 
 pro?t  when  it  is  sold  at  60%  of  the  original 
 selling price? 
 SSC CGL Tier II (11/09/2019) 
 (a) 20  (b) 30  (c) 33  (d) 17 
 1 
 3 
 1 
 3 
 Q.27.  Sujata sold 25 articles for Rs. 1250 
 and  she  incurred  a  loss  of  10%.  How 
 many  articles  should  she  sell  for  Rs.  2600 
 so that she can get a pro?t of 17% ? 
 SSC MTS  20/08/2019 (Morning) 
 (a) 26  (b) 40  (c) 25  (d)42 
 Q.28.  The  sum  of  cost  prices  of  A  and  B 
 is  Rs.  1200.  The  sum  of  the  selling  prices 
 of  A  and  B  is  Rs.  1390.  If  the  pro?t  of  10% 
 and  20%  is  obtained  on  A  and  B 
 respectively,  then  ?nd  the  ratio  between 
 the cost prices of A and B. 
 SSC MTS 19/08/2019 (Afternoon) 
 (a) 5 : 7  (b) 5 : 9     (c) 7 : 13    (d) 6 : 11 
 Q.29.  A  shopkeeper  earns  the  same 
 percent  of  pro?t  as  well  as  loss  by  selling 
 two  similar  pieces  of  furniture  for  Rs 
 18000  and  Rs  10000,  respectively.  At 
 what  price  should  he  sell  it  to  earn  a  pro?t 
 of 50%? 
 SSC MTS 14/08/2019 (Afternoon) 
 (a) Rs 21,000  (b) Rs 20,250 
 (c) Rs 21,750  (d) Rs 19,500 
 Q.30.  A  shopkeeper  gains  400%  on  a 
 transaction.  If  the  cost  increases  by  100% 
 and  there  is  no  change  in  the  selling  price, 
 then  ?nd  the  ratio  between  new  pro?t  and 
 selling price. 
 SSC MTS 14/08/2019 (Morning) 
 (a) 1 : 3  (b) 2 : 5  (c) 3 : 5  (d) 1 : 2 
 Q.31.  Parikh  sold  his  pen  at  a  pro?t  of  Rs 
 11.  He  calculated  the  pro?t  percentage  on 
 selling  price  and  found  it  to  be  25%.  the 
 cost price (in Rs) of the pen is: 
 SSC MTS 13/08/2019 (Afternoon) 
 (a) 33  (b) 24  (c) 36  (d) 44 
 Q.32.  If  20%  of  the  goods  are  sold  at  50% 
 pro?t,  40%  of  the  goods  at  20%  loss,  20% 
 of  the  goods  at  5%  loss  and  the 
 remaining  at  no  loss  or  no  pro?t,  then  the 
 overall pro?t percentage is: 
 SSC MTS  09/08/2019 (Afternoon) 
 (a) 5%  (b) 8%  (c) 4%  (d) 1% 
 Q.33.  Two  articles  were  sold  for  Rs  2400 
 each  by  a  shopkeeper.  The  shopkeeper 
 incurred  no  pro?t  and  no  loss  on  the 
 whole  transaction.  If  one  of  the  two 
 articles  sold  at  a  pro?t  of  20%,  then  what 
 was the loss incurred on the other article? 
 SSC MTS  07/08/2019 (Afternoon) 
 (a) 600   (b) 400  (c) 380  (d) 240 
 Q.34.  P  sold  an  article  to  Q  at  a  pro?t  of 
 20%.  Q  sold  the  same  article  to  R  at  a  loss 
 of  25%.  R  sold  the  same  article  to  T  at  a 
 pro?t  of  50%.  If  P  bought  the  article  at  Rs 
 100,  then  at  what  price  did  T  buy  that 
 article? 
 SSC MTS  06/08/2019 (Evening) 
 (a) 145  (b) 125  (c)115  (d) 135 
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 Pinnacle  Day: 71st - 75th  Profit and Loss 
 Q.35.  A  sold  an  article  on  15%  pro?t  for 
 Rs.  1495.  He  purchased  another  article 
 whose  cost  price  was  equal  to  that  of  the 
 ?rst  article.  He  sold  this  new  article  at 
 10% pro?t. What is the total pro?t of A ? 
 SSC MTS  05/08/2019 (Afternoon) 
 (a) 325  (b) 450  (c) 375  (d) 425 
 Q.36.  The  cost  prices  of  article  A  and 
 article  B  are  Rs.  1200  and  Rs.  1600 
 respectively.  The  selling  price  of  article  A 
 is  Rs.  1380  and  the  total  pro?t  after 
 selling  both  the  articles  is  25%.  What  is 
 the pro?t percentage on the article B ? 
 SSC MTS  05/08/2019 (Afternoon) 
 (a) 27.5  (b) 32.5  (c) 29.5  (d) 35.5 
 Q.37.  An  article  is  sold  for  Rs  6500  so  as 
 to  earn  a  pro?t  of  4%.  A  second  article 
 whose  cost  price  is  Rs  3750,  is  sold  at  a 
 loss  of  4%.  What  is  the  overall  gain  or 
 loss percent in the whole transaction? 
 SSC MTS 05/08/2019 (Morning) 
 (a) Gain 45%  (b) Loss 1% 
 (c) Loss 4%  (d) Gain 1% 
 Q.38.  A  man  bought  three  articles  for  Rs 
 3,000  each.  He  sold  the  articles 
 respectively  at  10%  pro?t,  5%  pro?t  and 
 15%  loss.  The  total  percentage  pro?t/loss 
 he earned is: 
 SSC CHSL 08/07/2019 (Evening) 
 (a) 10% loss  (b) 5% loss 
 (c) 5% pro?t  (d) No pro?t no loss 
 Q.39.  Two  articles  are  sold  for  Rs.9,720 
 each.  On  one,  the  seller  gains  8%  and  on 
 the  other,  he  loses  10%.  What  is  his 
 overall gain or loss? 
 SSC CGL 10/06/2019 (Afternoon) 
 (a) Rs.380 gain  (b) Rs.380 loss 
 (c) Rs.360 loss  (d) Rs.360 gain 
 Q.40.  A  person  sells  an  article  at  a  pro?t 
 of  12%.  If  he  had  purchased  it  for  12% 
 less  and  sold  it  for  Rs.9  less,  he  would 
 have  gained  27%.  What  is  the  original 
 cost price of the article? 
 SSC CGL  07/06/2019 (Evening) 
 (a) 4,250  (b) 4,000   (c) 4,500   (d) 3,750 
 Q.41.  Sushma  bought  6  tables  and  12 
 chairs  for  Rs.12000.  She  sold  the  tables 
 at  a  pro?t  of  15%  and  the  chairs  at  a  loss 
 of  10%.  If  her  total  gain  was  300,  then  the 
 total cost of the tables was: 
 SSC CGL 07/06/2019 (Morning) 
 (a) 6000  (b) 5000  (c) 5400   (d) 4800 
 Q.42.  Abhi  bought  two  articles  for  Rs.624. 
 He  sold  one  at  a  loss  of  14%  and  the 
 other  at  a  pro?t  of  14%.  If  the  selling  price 
 of  both  the  articles  is  equal,  then  the 
 difference  between  their  cost  prices  (in 
 Rs) is: 
 SSC CGL 06/06/2019 (Afternoon) 
 (a) 89.64  (b) 87.36   (c) 89.68   (d) 88.84 
 Q.43.  The  marked  price  of  an  article  is  Rs. 
 315.  It  is  sold  for  Rs.  288.  If  there  is  a  loss 
 of  4%,  then  by  what  percent  above  the 
 cost is the article marked? 
 SSC CGL  04/06/2019 (Afternoon) 
 (a) 5  (b) 8  (c) 6  (d) 5 
 1 
 2 
 1 
 2 
 Q.44.  A  person  sold  an  article  at  a  loss  of 
 15%.  Had  he  sold  it  for  Rs.  30.60  more,  he 
 would  have  gained  9%.  To  gain  10%,  he 
 should have sold it for: 
 SSC CGL  04/06/2019 (Morning) 
 (a) Rs. 140.25  (b) Rs. 132 
 (c) Rs. 130  (d) Rs. 128.40 
 Q.45.  A  bought  38  kg.  Rice  at  Rs. 
 54.50/kg,  45  Kg  rice  at  Rs.  62/kg,  and  55 
 kg  rice  at  Rs.  48/kg  .  He  sold  the  mixture 
 at  Rs.  65/kg.  His  loss  or  pro?t  percentage 
 is: 
 SSC CPO 16/03/2019 (Morning) 
 (a) Loss 1.04  (b) Loss 1.7 
 (c) Pro?t 19.6  (d) Pro?t 16.8 
 Q.46.  Three  partners  A,  B  and  C  share 
 pro?t  and  losses  in  the  ratio  3:4:7  If  the 
 pro?t  for  the  year  before  charging  30%  tax 
 is  Rs.  1,10,166  What  is  B’s  share  of  pro?t 
 after tax? 
 SSC CPO 16/03/2019 (Morning) 
 (a) Rs.9442.80  (b) Rs.31476 
 (c) Rs.22033.20  (d) Rs.24673.10 
 Q.47.  A  cyclist  sells  3  cycles  at  the  loss 
 of  Rs.  129  per  bicycle  and  12  cycles  on 
 the  pro?t  of  516  per  cycle.  If  the  total 
 pro?t  on  all  the  bicycles  sold  is  15%,  then 
 what will be the cost per cycle? 
 SSC CPO 14/03/2019 (Evening) 
 (a) 2960  (b) 3870  (c) 2580   (d) 4440 
 Q.48.  A  manufacturer  sells  the  product  to 
 a  wholesaler  at  6%  pro?t,  the  wholesaler 
 sells  the  product  to  a  retailer  at  8%  pro?t 
 and  the  retailer  sells  the  product  to  his 
 customer  at  10%  pro?t.  The  price  paid  by 
 the  customer  is  Rs  31,482.  The  cost  of 
 the product to the manufacturer is: 
 SSC CPO 14/03/2019 (Morning) 
 (a) 28,306  (b) 26,524 
 (c) 25,000  (d) 26,980 
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.49.  The  cost  of  4  chairs  and  3  tables  is 
 ?2,100  and  the  cost  of  5  chairs  and  2 
 tables  is  ?1,750.  Find  the  cost  (  in  ?)  of  a 
 chair. 
 SSC CHSL Tier II  02/11/2023 
 (a) 150  (b) 130  (c) 140  (d) 125 
 Q.50.  A  shopkeeper  sold  his  goods  at 
 half  the  list  price  and  thus  lost  17%.  If  he 
 had  sold  on  the  listed  price,  then  his  gain 
 percentage would be: 
 SSC CHSL Tier II  02/11/2023 
 (a) 17%  (b) 41%  (c) 83%  (d) 66% 
 Q.51.  Sohan  sells  sugar  at  the  cost  price 
 but  uses  false  weights  thus  gaining  28% 
 pro?t.  How  many  grams  of  sugar  is  he 
 giving for 3.2 kg sugar? 
 SSC CHSL Tier II  10/01/2024 
 (a) 1500    (b) 1900    (c) 2200    (d) 2500 
 SSC CGL 2023 Tier - 2 
 Q.52.  Two  friends  A  and  B  started  a 
 business  by  investing  ?1,50,000  and 
 ?2,50,000,  respectively.  They  agreed  to 
 distribute  their  earnings  in  the  same  ratio 
 of  their  investments.  After  an  year,  the 
 pro?t  earned  was  ?6,00,000.  Each  of 
 them  added  ?50,000  to  their  respective 
 pro?ts  and  invested  in  a  different  project. 
 If  this  project  gave  an  yield  of  ?4,20,000, 
 then A’s share in the pro?t is: 
 SSC CGL Tier II  (26/10/2023) 
 (a) ?2,35,000  (b) ?1,65,000 
 (c) ?1,97,000  (d) ?1,84,000 
 SSC CPO 2023 Tier - 1 
 Q.53.  The  ?rst  shirt  is  sold  at  twice  the 
 selling  price  of  the  second  shirt.  The  ?rst 
 shirt  is  sold  at  8%  pro?t  and  the  second 
 shirt  is  sold  at  a  3%  loss.  What  is  the 
 overall  percentage  pro?t  on  the  shirts 
 (Rounded off to two decimal places)?\ 
 SSC CPO 03/10/2023 (1st Shift) 
 (a) 4.60%  (b) 4.07%  (c) 3.86%  (d) 4.86% 
 Q.54.  Sukhvir  purchased  some 
 perishable  items  for  sale  but  30%  of 
 those  items  could  not  be  sold  and  went 
 bad.  However,  Sukhvir  managed  to  sell 
 the  rest  of  the  items  at  a  price  that 
 helped  him  earn  an  overall  pro?t  of  19%. 
 At  what  percentage  above  the  cost  price 
 of  each  item  purchased  by  Sukhvir  did  he 
 sell  each  of  the  items  that  did  not  go 
 bad? 
 SSC CPO 03/10/2023 (2nd  Shift) 
 (a) 49%   (b) 70%   (c) 75%   (d) 63% 
 Q.55.  If  the  difference  between  the 
 selling  prices  of  an  article  at  pro?ts  of 
 10%  and  7%  is  ?6,  then  the  cost  price  (in 
 ?) of the article is: 
 SSC CPO 03/10/2023 (2nd  Shift) 
 (a) 175  (b) 150  (c) 200  (d) 100 
 Q.56.  Mayur  sold  a  watch  at  a  pro?t  of 
 7%.  If  he  had  sold  it  for  ?1,329  more,  he 
 would have gained 57%. Find the cost 
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 Pinnacle  Day: 71st - 75th  Profit and Loss 
 price (in ?) of the watch. 
 SSC CPO 03/10/2023 (3rd Shift) 
 (a) 2856  (b) 2658  (c) 2580  (d) 2420 
 Q.57.  After  deducing  a  commission  of 
 20%,  a  DVD  set  costs  ?9,080.  Its  marked 
 price is: 
 SSC CPO 04/10/2023 (1st Shift) 
 (a) ?11,350  (b) ?10,100 
 (c) ?10,000  (d) ?11,200 
 Q.58.  A  dealer  sells  his  goods  at  10% 
 loss  on  the  cost  price  but  uses  25%  less 
 weight. What is his pro?t percentage ? 
 SSC CPO 04/10/2023 (1st Shift) 
 (a) 20%   (b) 35%   (c) 25%   (d) 15% 
 Q.59.  Avi  sold  a  house  to  Bhargav  at  a 
 gain  of  10%  and  Bhargav  sold  it  to 
 Chetan  at  a  gain  of  20%.  If  Chetan  paid 
 ?2,64,00,000  for  it,  then  at  what  price 
 must Avi have purchased it ? 
 SSC CPO 04/10/2023 (1st Shift) 
 (a) ?2,50,00,000     (b) ?1,75,00,000 
 (c) ?2,30,00,000     (d) ?2,00,00,000 
 Q.60.  A  vendor  marked  the  selling  price 
 of  a  table  at  ?5,670  after  adding  35% 
 pro?t  to  its  cost  price.  Since  the  sale  was 
 very  low  at  this  price  level,  he  decided  to 
 sell  the  table  with  12%  pro?t.  Find  the 
 new selling price (in ?). 
 SSC CPO 04/10/2023 (2nd Shift) 
 (a) 4,750  (b) 4,608  (c) 4,810  (d) 4,704 
 Q.61.  The  price  of  a  land  passing  through 
 three  hands  rises  on  the  whole  by  65%. 
 The  ?rst  and  second  sellers  earned  20% 
 and  25%  pro?t,  respectively.  Find  the 
 pro?t  percentage  earned  by  the  third 
 seller. 
 SSC CPO 04/10/2023 (2nd Shift) 
 (a) 15%      (b) 20%      (c) 10%      (d) 25% 
 Q.62.  By  selling  42  m  of  cloth,  Vijay  gains 
 the  selling  price  of  7  m  of  cloth.  Find  the 
 pro?t percentage. 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 20%    (b) 30%    (c) 25%    (d) 15% 
 Q.63.  A  shopkeeper  increases  the  cost 
 price  of  an  item  by  50%  and  offers  a 
 discount  of  40%  on  this  marked  price. 
 What is his loss percentage ? 
 SSC CPO 05/10/2023 (1st Shift) 
 (a) 15%    (b) 10%    (c) 5%    (d) 20% 
 Q.64.  Mihir  buys  a  book  for  ?625. 
 However,  because  of  certain  urgency,  he 
 sells  it  for  ?550.  Find  his  loss 
 percentage. 
 SSC CPO 05/10/2023 (1st Shift) 
 (a) 10%    (b) 12%    (c) 14%    (d) 15% 
 Q.65.  Mahesh  agreed  to  sell  rice  with 
 24%  loss,  as  the  rice  got  rotten.  However, 
 he  cheated  customers  and  gave  only  19 
 gm  of  rice  in  place  of  50  gm  of  rice.  What 
 is the percentage of his pro?t or loss ? 
 SSC CPO 05/10/2023 (1st Shift) 
 (a) 100 % loss  (b)  % pro?t 
 100 
 3 
 (c) 100 % pro?t  (d)  % loss 
 100 
 3 
 Q.66.  By  selling  a  table  for  ?1,596,  Aarav 
 loses  24%.  At  what  price  (in  ?)  should  he 
 sell it to gain 24%? 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 2604   (b) 1979   (c) 3196   (d) 3024 
 Q.67.  Arbind  has  650  kg  of  wheat.  A  part 
 of  which  he  sells  at  9%  pro?t  and  the  rest 
 at  19%  pro?t  to  get  15%  pro?t  on  the 
 whole.  What  is  the  quantity  (in  kg)  of 
 wheat sold by Arbind at 9% pro?t? 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 260  (b) 390  (c) 195  (d) 455 
 Q.68.  A  person  sold  two  cars  for  ?60,000 
 each.  On  one,  he  gained  20%  while  on  the 
 other  he  lost  20%.  Find  the  percentage  of 
 his gain or loss. 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) No pro?t and no loss  (b) Loss 4% 
 (c) Loss 2%                        (d) Gain 4% 
 Q.69.  A  shopkeeper  sells  sugar  at  ?40 
 per  kg,  which  he  purchased  at  ?36  per  kg. 
 His  weighing  machine  is  faulty  and  it 
 weighs  only  800  gm  while  selling.  His 
 percentage  pro?t  (correct  to  2  decimal 
 places) is: 
 SSC CPO 05/10/2023 (3rd Shift) 
 (a) 40%  (b) 37.58% (c) 38.89% (d) 39.28% 
 Q.70.  Ankita  sold  three  toys.  The  ?rst  toy 
 was  sold  for  ?1,500  at  a  pro?t  of  25%;  the 
 second  toy  was  sold  for  ?2,800  at  a  loss 
 of  50%  and  the  third  toy  was  sold  for 
 ?3,500  at  a  pro?t  of  25%.  Find  her  total 
 pro?t or loss percentage. 
 SSC CPO 05/10/2023 (3rd Shift) 
 (a) 15.25% pro?t  (b) 18.75% loss 
 (c) 18.75% pro?t  (d) 15.25% loss 
 SSC MTS 2023 Tier - 1 
 Q.71.  Raju  sold  an  article  to  Ravi  at  10% 
 gain.  Ravi  sold  the  article  to  Ramu  at  a 
 loss  of  10%.  If  Ramu  paid  ?1,485  to  Ravi, 
 ?nd the selling price of Raju to Ravi. 
 SSC MTS 01/09/2023 (1st Shift) 
 (a) ?1,200 (b) ?1,500 (c) ?1,650 (d) ?1,600 
 Q.72.  Samridhi  sold  a  gold  ring  at  a  loss 
 of  26%.  If  the  cost  price  of  the  gold  ring 
 is ?38,500, what is the selling price of the 
 gold ring? 
 SSC MTS 01/09/2023 (2nd Shift) 
 (a) ?28,490  (b) ?30,500 
 (c) ?29,590  (d) ?38,600 
 Q.73.  Shobha  purchased  a  small  plot  in  a 
 residential  area  for  ?6,00,000  and  sold  it 
 to  Lakshita  at  a  pro?t  of  20%.  Lakshita,  in 
 turn,  sold  it  to  Dinesh  at  a  loss  of  10%. 
 How much did Dinesh pay for the plot ? 
 SSC MTS 01/09/2023 (2nd Shift) 
 (a) ?6,40,000  (b) ?6,48,000 
 (c) ?6,08,000  (d) ?6,00,000 
 Q.74.  The  cost  price  of  an  article  is 
 ?1,120.  After  allowing  a  discount  of  ?205 
 a  gain  of  15%  was  made,  then  the 
 marked price of the article is: 
 SSC MTS 01/09/2023 (3rd Shift) 
 (a) ?1,760 (b) ?1,493 (c) ?1,350 (d) ?1,580 
 Q.75.  A  manufacturer  earns  a  pro?t  of 
 10%  on  selling  his  products  to  a 
 wholesale  dealer.  The  wholesale  dealer 
 earns  a  pro?t  of  15%  by  selling  it  to  a 
 retailer.  The  retailer,  in  turn,  earns  a  pro?t 
 of  25%  from  the  customer.  What  is  the 
 actual  cost  of  production  of  an  article  for 
 which the customer pays ?12,650 ? 
 SSC MTS 04/09/2023 (1st Shift) 
 (a) ?8,000 (b) ?8,500 (c) ?9,000 (d) ?7,000 
 Q.76.  By  selling  a  TV  set  for  ?16,800,  a 
 salesman  gains  a  pro?t  of  20%.  If  the 
 production  cost  is  increased  by  20%,  ?nd 
 the  new  selling  price  of  the  set  so  as  to 
 gain 20%. 
 SSC MTS 04/09/2023 (1st Shift) 
 (a) ?18,160  (b) ?18,480 
 (c) ?20,160  (d) ?20,480 
 Q.77.  A  grocer  purchased  50  kg  of  sugar 
 at  ?40  per  kg  and  mixed  with  70  kg  of 
 sugar  at  ?30  per  kg.  At  what  rate  should 
 he sell the mixture (per kg) to gain 20%? 
 SSC MTS 04/09/2023 (2nd Shift) 
 (a) ?60  (b) ?20  (c) ?35  (d) ?41 
 Q.78.  The  marked  price  of  mustard  oil  is 
 10%  more  than  its  cost  price.  At  what 
 percentage  less  than  the  marked  price 
 should  it  be  sold  to  have  no  pro?t  and  no 
 loss? 
 SSC MTS 04/09/2023 (3rd Shift) 
 (a) 9  %  (b) 9  % 
 3 
 11 
 2 
 11 
 (c) 9  %  (d) 9  % 
 1 
 11 
 4 
 11 
 Q.79.  A  store  sells  an  item  for  ?500, 
 making  a  pro?t  of  25%.  Later,  the  store 
 reduces  the  price  of  the  item  by  20%  to 
 clear  out  old  inventory.  What  is  the  new 
 percentage pro?t or loss for the store? 
 SSC MTS 04/09/2023 (3rd Shift) 
 (a) 2% pro?t  (b) 5% pro?t 
 (c) 5% loss  (d) No pro?t, no loss 
 Q.80.  Vaishali booked a bus ticket for 
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 Pinnacle  Day: 71st - 75th  Profit and Loss 
 ?1,260.  Because  of  her  ill  health,  she  had 
 to  cancel  the  ticket.  She  got  a  refund  of 
 ?945  in  this  process.  What  is  the 
 percentage  loss  that  Vaishali  had  to 
 face? 
 SSC MTS 05/09/2023 (1st Shift) 
 (a) 23%  (b) 15%  (c) 25%  (d) 33% 
 Q.81.  Divya  bought  six  candies  for  a 
 rupee.  How  many  candies  for  a  rupee 
 must she sell to gain 50%? 
 SSC MTS 05/09/2023 (2nd Shift) 
 (a) Four   (b) Three   (c) One   (d) Two 
 Q.82.  By  selling  8  items,  a  shopkeeper 
 gains  the  selling  price  of  2  items.  The 
 gain percentage of the shopkeeper is: 
 SSC MTS 05/09/2023 (3rd Shift) 
 (a) 25%  (b) 16  %  (c) 33  %  (d) 30% 
 2 
 3 
 1 
 3 
 Q.83.  Zeenat  earns  20%  on  an 
 investment,  but  she  loses  10%  on  other 
 investments.  If  the  two  investments  are 
 respectively  in  the  ratio  of  3  :  5,  then  what 
 is  the  percentage  gain  or  loss  for  Zeenat 
 on the two investments taken together ? 
 SSC MTS 05/09/2023 (3rd Shift) 
 (a) 1.25 %  Gain  (b) 2.25 % Loss 
 (c) 1.25 % Loss  (d) 2.25% Gain 
 Q.84.  The  pro?t  obtained  by  a  vendor  on 
 selling  goods  at  ?3,200  is  equal  to  th 
 7 
 5 
 of  the  pro?t  obtained  by  selling  the  same 
 goods  at  ?3,000.  What  is  the  cost  price 
 (in ?) of the goods? 
 SSC MTS 06/09/2023 (1st Shift) 
 (a) 2,500  (b) 2,700  (c) 2,400  (d) 2,900 
 Q.85.  By  selling  a  book  at  some  price, 
 Ankita  gains  10%.  If  the  book  is  sold  at 
 twice  the  price,  then  what  will  be  the  gain 
 percentage for Ankita? 
 SSC MTS 06/09/2023 (1st Shift) 
 (a) 140%  (b) 100%  (c) 120%  (d) 125% 
 Q.86.  The  ratio  of  cost  price  to  selling 
 price  of  an  article  is  186  :  206.  The  pro?t 
 per cent on it is : 
 SSC MTS 06/09/2023 (3rd Shift) 
 (a)  (b)  12 
 50 
 93 
 12 
 70 
 93 
 (c)  (d)  10 
 70 
 93 
 10 
 50 
 93 
 Q.87.  Kavita  bought  a  table  at  30% 
 discount  on  its  original  price.  She  sold  it 
 with  48%  increase  on  the  price  she 
 bought  it.  What  is  the  percentage 
 difference  between  the  new  sale  price 
 and  original  price  ?  If  the  original  price  is 
 ?8,000,  then  how  much  extra  money  did 
 Kavita get as pro?t ? 
 SSC MTS 06/09/2023 (3rd Shift) 
 (a) 5.6%; ?280  (b) 3.6%; ?288 
 (c) 6%; ?360  (d) 4.5%; ?308 
 Q.88.  The  cost  price  of  an  item  is  ?4,850. 
 What  is  the  pro?t  percentage  (rounded 
 off  to  1  decimal  place)  if  it  is  sold  at 
 ?6,680 ? 
 SSC MTS 08/09/2023 (1st Shift) 
 (a) 44.6% (b) 37.7% (c) 39.5% (d) 35.5% 
 Q.89.  A  man  sold  his  cycle  at  17%  loss.  If 
 he  had  sold  it  for  ?1,056  more,  he  would 
 have  made  5%  pro?t.  The  cost  price  of 
 the cycle is: 
 SSC MTS 08/09/2023 (2nd Shift) 
 (a) ?4,700 (b) ?3,800 (c) ?5,100 (d) ?4,800 
 Q.90.  The  percentage  pro?t  earned  by 
 selling  an  article  for  ?955  is  equal  to  the 
 percentage  loss  incurred  by  selling  the 
 same  article  for  ?845.  At  what  price 
 should  the  article  be  sold  to  make  a  6% 
 pro?t? 
 SSC MTS 08/09/2023 (3rd Shift) 
 (a) ?955  (b) ?954  (c) ?925  (d) ?1,014 
 Q.91.  Ravi  sells  a  laptop  bag  to  Reeta  for 
 ?1,920  and  he  sells  another  similar 
 laptop  bag  to  Vinay  for  ?1,280.  The 
 percentage  pro?t  earned  in  selling  the 
 laptop  bag  to  Reeta  is  equal  to  the 
 percentage  loss  in  selling  the  laptop  bag 
 to  Vinay  At  what  price  (in  ?)  should  Ravi 
 sell  the  laptop  bag  to  make  a  pro?t  of 
 25%? 
 SSC MTS 08/09/2023 (3rd Shift) 
 (a) 1,650  (b) 1,600  (c) 1,800  (d) 2,000 
 Q.92.  If  the  manufacturer  gains  10%,  the 
 wholesale  dealer  gains  12%  and  the 
 retailer  gains  15%,  then  ?nd  the  cost 
 production  of  a  table,  the  retail  price  of 
 which is ?1,771. 
 SSC MTS 11/09/2023 (1st Shift) 
 (a) ?1,150 (b) ?1,050 (c) ?1,250 (d) ?1,350 
 Q.93.  Robin  purchases  a  fan  for  ?2,000 
 and  later  sells  it  at  a  loss  of  15%.  At  what 
 price did he sell the fan ? 
 SSC MTS 11/09/2023 (2nd Shift) 
 (a) ?1,900 (b) ?1,800 (c) ?1,700 (d) ?2,100 
 Q.94.  By  investing  ?12,000  in  a  scheme, 
 R  gets  ?15,500  back  in  return.  What  is  his 
 percentage of pro?t ? 
 SSC MTS 11/09/2023 (2nd Shift) 
 (a) 27.19%  (b) 29.17% 
 (c) 17.92%  (d) 19.17% 
 Q.95.  A  milk  vendor  mixes  water  with 
 milk  and  by  selling  the  mixture  at  the 
 cost  price  be  gains,  16  %.  Find  the  ratio 
 1 
 4 
 of milk to water in the mixture. 
 SSC MTS 11/09/2023 (2nd Shift) 
 (a) 7 : 40  (b) 80 : 13  (c) 13 : 80  (d) 40 : 7 
 Q.96.  A company buys raw materials for 
 ?10,000  and  manufactures  a  product  that 
 costs  an  additional  ?5,000  in  labour  and 
 overhead.  The  product  is  sold  to  a 
 distributor  for  ?25,000,  who  marks  it  up  by 
 20%  and  sells  it  to  a  retailer.  The  retailer 
 then  marks  it  up  by  another  25%  and  sells 
 it  to  the  end  customer.  What  is  the  overall 
 percentage  pro?t  made  by  the  company, 
 distributor, and retailer combined ? 
 SSC MTS 11/09/2023 (3rd Shift) 
 (a) 100%  (b) 150%  (c) 125%  (d) 135% 
 Q.97.  Anil  sells  a  car  to  Bina  at  a  pro?t  of 
 20%.  Bina  sells  it  to  Karan  at  a  pro?t  of 
 25%.  If  Karan  pays  ?2,25,000  for  it,  then, 
 ?nd the CP of the car for Anil . 
 SSC MTS 12/09/2023 (1st Shift) 
 (a) ? 1,75,000  (b) ? 2,00,000 
 (c) ? 1,50,000  (d) ? 1,25,000 
 Q.98.  By  selling  at  a  loss  of  12%  instead 
 of  a  loss  of  18%  an  article  sells  for  ?120 
 more. Find its CP . 
 SSC MTS 12/09/2023 (2nd Shift) 
 (a)  2,100 (b)  2,000 (c)  1,500 (d)  1,800  ?  ?  ?  ? 
 Q.99.  Raman  buys  an  article  for 
 ?1,00,000  and  sells  it  to  Mohit  for 
 ?1,20,000.  Mohit  again  sells  the  same 
 article  to  Rashmi  for  ?1,00,000.  What  is 
 the percentage loss faced by Mohit ? 
 SSC MTS 12/09/2023 (2nd Shift) 
 (a) 16  %  (b) 18  %  (c) 20%  (d) 15% 
 2 
 3 
 1 
 3 
 Q.100.  A  seller  marked  the  price  of  a 
 sofa  25%  more  than  its  cost  price.  If  he 
 allows  12%  discount  on  the  marked  price 
 to  the  customer,  then  what  is  his  gain 
 percentage?  If  the  cost  price  of  the  sofa 
 is ?15,000, then what is his gain money? 
 SSC MTS 12/09/2023 (3rd Shift) 
 (a) 9%, ?1,480  (b) 8%, ?1,350 
 (c) 10%, ?1,500  (d) 9.5%, ?1,600 
 Q.101.  Aditya  sold  two  bags  for  ?630 
 each.  On  one  bag  he  gains  33%  and  on 
 the  other  he  losses  33%.  Find  his  gain  or 
 loss per cent on the whole transaction. 
 SSC MTS 12/09/2023 (3rd Shift) 
 (a) 12.37% gain  (b) 10.89% gain 
 (c) 10.89% loss  (d) 12.37% loss 
 Q.102.  By  selling  a  calculator  for  ?1,080, 
 there  is  a  loss  of  10%,  if  the  article  is  sold 
 for  ?1,350,  the  net  result  in  the 
 transaction is: 
 SSC MTS 13/09/2023 (1st Shift) 
 (a) 12  % loss  (b) 12% gain 
 1 
 2 
 (c) 12  % gain  (d) 12% loss 
 1 
 2 
 Q.103.  Some  oranges  were  purchased  at 
 ?150  per  hundred  and  sold  at  ?24  per 
 dozen. It gave a gain of ?1,000. How 
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FAQs on SSC CGL Previous Year Questions (2023-18): Profit & Loss - SSC CGL Previous Year Papers

1. What is the formula to calculate profit and loss in SSC CGL exams?
Ans.The formula to calculate profit is: Profit = Selling Price (SP) - Cost Price (CP). For loss, the formula is: Loss = Cost Price (CP) - Selling Price (SP).
2. How is the percentage of profit or loss calculated?
Ans.The percentage of profit is calculated using the formula: (Profit/Cost Price) × 100. For loss, it is: (Loss/Cost Price) × 100.
3. What are some common types of problems related to profit and loss in SSC CGL?
Ans.Common problems include finding the selling price when a profit percentage is given, calculating the cost price when loss percentage is known, and determining the overall profit or loss when multiple transactions are involved.
4. Can you explain the concept of marked price, selling price, and discount in profit and loss questions?
Ans.Marked Price is the original price of the item before any discount. Selling Price is the final price after applying the discount. Discount can be calculated as: Discount = Marked Price - Selling Price.
5. How do you approach word problems related to profit and loss in SSC CGL?
Ans.Start by identifying the cost price, selling price, and any profit or loss percentages. Translate the problem into equations using the formulas for profit and loss, and solve for the required unknown values systematically.
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