SSC CGL Previous Year Questions (2023-18): Percentage | SSC CGL Mathematics Previous Year Paper (Topic-wise) PDF Download

 Page 1


 Pinnacle  Day: 66th - 70th  Percentage 
 Percentage 
 Key Points :- 
 What does a percentage, say 20% mean? 
 20%  simply  means  of  something. 
 20 
 100 
 Also, you can see  =  = 
 20 
 100 
 1 
 5 
 0 . 2 
 i.e.  0.2  of  something  is  the  same  as  20% 
 of that thing. 
 ?  Percentage change 
 =  100 
 ??????     ??????????    -    ????????????????     ?????????? 
 ????????????????     ?????????? 
×
 ?  Percentage  point  change  means 
 difference  between  two  percentage 
 rates.  For  instance,  50%  -  30%  =  20%, 
 so  here  the  percentage  point  change 
 is 20. 
 ?  If  the  price  of  a  product  increases  by 
 %,  then  to  keep  expenditure  same,  ?? 
 percentage  reduction  in 
 consumption required 
 = (  100)% 
 ?? 
 100    +    ?? 
×
 ?  If  the  price  of  a  product  decreases 
 by  %,  then  to  keep  expenditure  ?? 
 same,  percentage  increase  in 
 consumption required 
 = (  100)% 
 ?? 
 100    -    ?? 
×
 ?  If  A  is  R%  more  than  B,  then  B  is  less 
 than A by =  (  100)% 
 ?? 
 100    +    ?? 
×
 ?  If  A  is  R%  less  than  B,  then  B  is  more 
 than A by = (  100)% 
 ?? 
 100    -    ?? 
×
 ?  If  the  number  is  ?rst  increased  by  x% 
 and  then  decreased  by  x%,  then  the 
 net  result  is  always  decrease  and  it 
 is  equal  to  =  %.  Same  result (
 ?? 
 2 
 100 
)
 will  be  obtained  in  the  vice-versa 
 case. 
 Successive percentage change : 
 1.  Two  successive  percentage 
 change  :  If  the  number  is  ?rst 
 increased  by  a%  and  then 
 increased by b% then, 
 Effective percentage change 
 = (a + b +  )% 
 ???? 
 100 
 Similarly,  if  the  number  is  ?rst 
 increased  by  a%  and  then 
 decreased by b%, then 
 Effective percentage change 
 = (a - b -  )% 
 ???? 
 100 
 2.  Three  successive  percentage 
 change  :  If  the  number  is  ?rst 
 increased by a% then by b% and 
 then by c%, then 
 Effective percentage change = 
 (a + b + c +  +  )% 
 ????    +    ????    +    ???? 
 100 
 ?????? 
 10000 
 Important  Fractions  and  their  equivalent 
 Percentage 
 1)  =  2)  = 33  % = 33.33% 
 1 
 2 
 50% 
 1 
 3 
 1 
 3 
 3)  =  4)  = 
 1 
 4 
 25% 
 1 
 5 
 20% 
 5)  =  16.67%  6)  =  14  %  =  14.28% 
 1 
 6 
 1 
 7 
 2 
 7 
 7)  = 12.5%  8)  = 11  % =  11.11% 
 1 
 8 
 1 
 9 
 1 
 9 
 9)  = 10%  10)  = 9  %  = 9.09% 
 1 
 10 
 1 
 11 
 1 
 11 
 11)  = 8  %  12)  = 7.69% 
 1 
 12 
 1 
 3 
 1 
 13 
 13)  = 7.14%  14)  = 6.67% 
 1 
 14 
 1 
 15 
 15)  = 6.25%  16)  =  83  % 
 1 
 16 
 5 
 6 
 1 
 3 
 17)  = 37.5%  18)  = 62.5% 
 3 
 8 
 5 
 8 
 19)  = 87.5%  20)  = 27.27% 
 7 
 8 
 3 
 11 
 21)  = 66  % =  % 
 2 
 3 
 2 
 3 
 200 
 3 
 22)  =  2  = 233  % 
 7 
 3 
 1 
 3 
 1 
 3 
 23)  =  1  = 112.5% 
 9 
 8 
 1 
 8 
 24)  =  28.56% 
 2 
 7 
 These  fractions  are  very  common  and  it 
 will be very helpful to learn them. 
 Variety Questions 
 Q.1.  In  an  election  between  two 
 candidates,  64%  of  the  voters  cast  their 
 votes,  out  of  which  4%  of  the  votes  were 
 declared  invalid.  A  candidate  got  12,288 
 votes  which  were  64%  of  the  total  valid 
 votes.  Find  the  total  number  of  votes 
 enrolled in that election. 
 SSC CHSL Tier II  (02/11/2023) 
 (a) 30,250  (b) 32,152 
 (c) 31,250  (d) 20,152 
 Q.2.  Ayush  spends  25%  of  an  amount  of 
 money  on  an  insurance  policy,  26%  on 
 food,  23%  on  children’s  education  and 
 19%  on  recreation.  He  deposits  the 
 remaining  amount  of  ?26,600  in  the 
 bank.  What  is  the  total  amount  (in  ?)  that 
 he  spends  on  food  and  recreation 
 together? 
 SSC CPO 05/10/2023 (3rd Shift) 
 (a) 1,95,000  (b) 1,83,000 
 (c) 1,62,000  (d) 1,71,000 
 Q.3.  The  monthly  income  of  an  employee 
 was  ?26,500  and  his  monthly 
 expenditure  was  ?22,000.  Next  year  his 
 income  increased  by  20%  and  his 
 expenditure  increased  by  15%.  Find  the 
 percentage increase in his savings. 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 44  %  (b) 44  % 
 4 
 9 
 7 
 9 
 (c) 44  %  (d) 44  % 
 5 
 9 
 8 
 9 
 Q.4.  The  cost  price  of  pulses  is  12%  less 
 than  the  selling  price.  Using  a  faulty 
 weighing  machine,  shopkeeper  is  able  to 
 earn  25%  pro?t.  How  much  percent  of 
 the  faulty  machine  shows  more  weight 
 as  compared  to  the  actual  weight 
 (Rounded off to the nearest integer)? 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 10%  (b) 14%  (c) 13%  (d) 15% 
 Q.5.  Swastik  saves  20%  of  his  income 
 while  spends  the  remaining  amount  on 
 food,  rent,  education  and  shopping.  15% 
 of  the  income  is  spent  on  food,  while 
 ?12,800  is  spent  on  rent,  ?32,000  on 
 education  and  ?7,200  on  shopping.  The 
 amount  spent  on  shopping  is  11.25%  of 
 the  total  expenditure.  How  much  money 
 (in ?) is spent on food? 
 SSC CPO 03/10/2023 (2nd  Shift) 
 (a) 9600  (b) 12000  (c) 15000  (d) 10800 
 Q.6.  A  number  is  ?rst  increased  by  16% 
 and  then  increased  by  20%.  The  number 
 so  obtained  is  now  decreased  by  40%. 
 The  net  decrease  percentage  in  the 
 original number is: 
 SSC CHSL 14/08/2023 (4th Shift) 
 (a) 16  %  (b) 15  % 
 12 
 25 
 9 
 25 
 (c) 11  %  (d) 13  % 
 13 
 25 
 7 
 25 
 Q.7.  Two  candidates  A  and  B  contested 
 in  an  election.  80%  of  the  voters  cast 
 their  votes,  out  of  which  2%  of  the  votes 
 were  invalid.  A  got  9,408  votes  which 
 was  60%  of  the  valid  votes.  Find  the  total 
 number of votes. 
 SSC CHSL 10/08/2023 (4th Shift) 
 (a) 12,000  (b) 22,000 
 (c) 20,000  (d) 21,000 
 Q.8.  A  number  ?rst  increased  by  8%  and 
 then  decreased  by  3%  to  get  2619.  What 
 is 5% of that number ? 
 SSC CHSL 10/08/2023 (3rd Shift) 
 (a) 125   (b) 135   (c) 130   (d) 140 
 Q.9.  A  spends  68%  of  his  monthly 
 income.  If  A's  monthly  income  increases 
 by  25%  and  his  monthly  saving  increases 
 by  15%,  then  the  percentage  increase  in 
 his monthly expenditure will be: 
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Page 2


 Pinnacle  Day: 66th - 70th  Percentage 
 Percentage 
 Key Points :- 
 What does a percentage, say 20% mean? 
 20%  simply  means  of  something. 
 20 
 100 
 Also, you can see  =  = 
 20 
 100 
 1 
 5 
 0 . 2 
 i.e.  0.2  of  something  is  the  same  as  20% 
 of that thing. 
 ?  Percentage change 
 =  100 
 ??????     ??????????    -    ????????????????     ?????????? 
 ????????????????     ?????????? 
×
 ?  Percentage  point  change  means 
 difference  between  two  percentage 
 rates.  For  instance,  50%  -  30%  =  20%, 
 so  here  the  percentage  point  change 
 is 20. 
 ?  If  the  price  of  a  product  increases  by 
 %,  then  to  keep  expenditure  same,  ?? 
 percentage  reduction  in 
 consumption required 
 = (  100)% 
 ?? 
 100    +    ?? 
×
 ?  If  the  price  of  a  product  decreases 
 by  %,  then  to  keep  expenditure  ?? 
 same,  percentage  increase  in 
 consumption required 
 = (  100)% 
 ?? 
 100    -    ?? 
×
 ?  If  A  is  R%  more  than  B,  then  B  is  less 
 than A by =  (  100)% 
 ?? 
 100    +    ?? 
×
 ?  If  A  is  R%  less  than  B,  then  B  is  more 
 than A by = (  100)% 
 ?? 
 100    -    ?? 
×
 ?  If  the  number  is  ?rst  increased  by  x% 
 and  then  decreased  by  x%,  then  the 
 net  result  is  always  decrease  and  it 
 is  equal  to  =  %.  Same  result (
 ?? 
 2 
 100 
)
 will  be  obtained  in  the  vice-versa 
 case. 
 Successive percentage change : 
 1.  Two  successive  percentage 
 change  :  If  the  number  is  ?rst 
 increased  by  a%  and  then 
 increased by b% then, 
 Effective percentage change 
 = (a + b +  )% 
 ???? 
 100 
 Similarly,  if  the  number  is  ?rst 
 increased  by  a%  and  then 
 decreased by b%, then 
 Effective percentage change 
 = (a - b -  )% 
 ???? 
 100 
 2.  Three  successive  percentage 
 change  :  If  the  number  is  ?rst 
 increased by a% then by b% and 
 then by c%, then 
 Effective percentage change = 
 (a + b + c +  +  )% 
 ????    +    ????    +    ???? 
 100 
 ?????? 
 10000 
 Important  Fractions  and  their  equivalent 
 Percentage 
 1)  =  2)  = 33  % = 33.33% 
 1 
 2 
 50% 
 1 
 3 
 1 
 3 
 3)  =  4)  = 
 1 
 4 
 25% 
 1 
 5 
 20% 
 5)  =  16.67%  6)  =  14  %  =  14.28% 
 1 
 6 
 1 
 7 
 2 
 7 
 7)  = 12.5%  8)  = 11  % =  11.11% 
 1 
 8 
 1 
 9 
 1 
 9 
 9)  = 10%  10)  = 9  %  = 9.09% 
 1 
 10 
 1 
 11 
 1 
 11 
 11)  = 8  %  12)  = 7.69% 
 1 
 12 
 1 
 3 
 1 
 13 
 13)  = 7.14%  14)  = 6.67% 
 1 
 14 
 1 
 15 
 15)  = 6.25%  16)  =  83  % 
 1 
 16 
 5 
 6 
 1 
 3 
 17)  = 37.5%  18)  = 62.5% 
 3 
 8 
 5 
 8 
 19)  = 87.5%  20)  = 27.27% 
 7 
 8 
 3 
 11 
 21)  = 66  % =  % 
 2 
 3 
 2 
 3 
 200 
 3 
 22)  =  2  = 233  % 
 7 
 3 
 1 
 3 
 1 
 3 
 23)  =  1  = 112.5% 
 9 
 8 
 1 
 8 
 24)  =  28.56% 
 2 
 7 
 These  fractions  are  very  common  and  it 
 will be very helpful to learn them. 
 Variety Questions 
 Q.1.  In  an  election  between  two 
 candidates,  64%  of  the  voters  cast  their 
 votes,  out  of  which  4%  of  the  votes  were 
 declared  invalid.  A  candidate  got  12,288 
 votes  which  were  64%  of  the  total  valid 
 votes.  Find  the  total  number  of  votes 
 enrolled in that election. 
 SSC CHSL Tier II  (02/11/2023) 
 (a) 30,250  (b) 32,152 
 (c) 31,250  (d) 20,152 
 Q.2.  Ayush  spends  25%  of  an  amount  of 
 money  on  an  insurance  policy,  26%  on 
 food,  23%  on  children’s  education  and 
 19%  on  recreation.  He  deposits  the 
 remaining  amount  of  ?26,600  in  the 
 bank.  What  is  the  total  amount  (in  ?)  that 
 he  spends  on  food  and  recreation 
 together? 
 SSC CPO 05/10/2023 (3rd Shift) 
 (a) 1,95,000  (b) 1,83,000 
 (c) 1,62,000  (d) 1,71,000 
 Q.3.  The  monthly  income  of  an  employee 
 was  ?26,500  and  his  monthly 
 expenditure  was  ?22,000.  Next  year  his 
 income  increased  by  20%  and  his 
 expenditure  increased  by  15%.  Find  the 
 percentage increase in his savings. 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 44  %  (b) 44  % 
 4 
 9 
 7 
 9 
 (c) 44  %  (d) 44  % 
 5 
 9 
 8 
 9 
 Q.4.  The  cost  price  of  pulses  is  12%  less 
 than  the  selling  price.  Using  a  faulty 
 weighing  machine,  shopkeeper  is  able  to 
 earn  25%  pro?t.  How  much  percent  of 
 the  faulty  machine  shows  more  weight 
 as  compared  to  the  actual  weight 
 (Rounded off to the nearest integer)? 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 10%  (b) 14%  (c) 13%  (d) 15% 
 Q.5.  Swastik  saves  20%  of  his  income 
 while  spends  the  remaining  amount  on 
 food,  rent,  education  and  shopping.  15% 
 of  the  income  is  spent  on  food,  while 
 ?12,800  is  spent  on  rent,  ?32,000  on 
 education  and  ?7,200  on  shopping.  The 
 amount  spent  on  shopping  is  11.25%  of 
 the  total  expenditure.  How  much  money 
 (in ?) is spent on food? 
 SSC CPO 03/10/2023 (2nd  Shift) 
 (a) 9600  (b) 12000  (c) 15000  (d) 10800 
 Q.6.  A  number  is  ?rst  increased  by  16% 
 and  then  increased  by  20%.  The  number 
 so  obtained  is  now  decreased  by  40%. 
 The  net  decrease  percentage  in  the 
 original number is: 
 SSC CHSL 14/08/2023 (4th Shift) 
 (a) 16  %  (b) 15  % 
 12 
 25 
 9 
 25 
 (c) 11  %  (d) 13  % 
 13 
 25 
 7 
 25 
 Q.7.  Two  candidates  A  and  B  contested 
 in  an  election.  80%  of  the  voters  cast 
 their  votes,  out  of  which  2%  of  the  votes 
 were  invalid.  A  got  9,408  votes  which 
 was  60%  of  the  valid  votes.  Find  the  total 
 number of votes. 
 SSC CHSL 10/08/2023 (4th Shift) 
 (a) 12,000  (b) 22,000 
 (c) 20,000  (d) 21,000 
 Q.8.  A  number  ?rst  increased  by  8%  and 
 then  decreased  by  3%  to  get  2619.  What 
 is 5% of that number ? 
 SSC CHSL 10/08/2023 (3rd Shift) 
 (a) 125   (b) 135   (c) 130   (d) 140 
 Q.9.  A  spends  68%  of  his  monthly 
 income.  If  A's  monthly  income  increases 
 by  25%  and  his  monthly  saving  increases 
 by  15%,  then  the  percentage  increase  in 
 his monthly expenditure will be: 
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 Pinnacle  Day: 66th - 70th  Percentage 
 SSC CHSL 09/08/2023 (1st Shift) 
 (a) 27  %  (b)  29  % 
 13 
 17 
 12 
 17 
 (c) 33  %  (d) 31  % 
 7 
 17 
 6 
 17 
 Q.10.  Harsha's  expenditure  is  45%  of  her 
 income.  If  the  income  from  the  next 
 month  is  increased  by  15%  and  the 
 amount  she  saved  each  month  remains 
 the  same,  then  ?nd  the  percentage 
 increase  in  her  expenditure  (rounded  off 
 to 2 decimal places). 
 SSC CHSL 07/08/2023 (4th Shift) 
 (a) 33.33%  (b) 15.00% 
 (c) 45.00%  (d) 27.50% 
 Q.11.  The  price  of  an  article  is  increased 
 by  r%.  The  new  price  was  decreased  by 
 r%  later.  Now  the  latest  price  is 
 Rs.1.What  was  the  original  price  of  the 
 article? 
 SSC CGL 20/07/2023 (3rd shift) 
 (a)  (b) 
 10000 
 10000    -    ?? 
 2 
 10000    -       ?? 
 2 
   
 10000 
 (c)  (d) 
 100 
 100    -    ?? 
 2 
 100 
 1    -    ?? 
 2 
 Q.12.  Aditya  buys  300  mangoes  for 
 Rs.1,100.  Some  of  these  mangoes  are 
 rotten  and  are  thrown  away.  He  sells  the 
 remaining  mangoes  at  Rs.5  each  and 
 makes  a  pro?t  of  Rs.150.  Find  the 
 percentage of mangoes thrown away. 
 SSC CGL 19/07/2023 (4th shift) 
 (a) 16  (b) 
 1 
 2 
 %  15 
 2 
 3 
 % 
 (c) 16  (d) 16 
 2 
 3 
 % 
 1 
 3 
 % 
 Q.13.  In  an  election,  15%  of  the  voters  on 
 the  voters  list  did  not  cast  their  votes  and 
 100  voters  cast  their  ballot  paper  blank. 
 There  were  only  two  candidates  Ram  and 
 Shyam.  The  winner,  Ram,  was  supported 
 by  69%  of  all  the  voters  in  the  list  and  he 
 got  630  votes  more  than  Shyam.  Find  the 
 number of voters on the list. 
 Matriculation Level 30/06/2023 (Shift - 3) 
 (a) 1200  (b) 1000  (c) 1100  (d) 1300 
 Q.14.  If  the  price  of  rice  is  increased  by 
 25  percent,  then  by  what  percentage 
 consumption  of  rice  should  be 
 decreased  so  that  the  expenditure 
 incurred  on  rice  gets  decreased  by  40 
 percent? 
 SSC CHSL 21/03/2023 (4th Shift) 
 (a) 52 %  (b) 43.33 (c) 42 %  (d) 48 % 
 Q.15.  Shiva’s  monthly  salary  is 
 Rs.75,000.  He  spends  Rs.12,000  on 
 household  items,  Rs.14,000  on  LIC  and 
 mutual  funds,  Rs.15,000  on  his  children’s 
 education,  and  keeps  Rs.10,000  for 
 miscellaneous  expenses.  His  savings  are 
 Rs.21,000  per  month  and  he  donates  the 
 rest  of  the  amount  to  an  orphanage.  The 
 percentage  of  his  income  that  he 
 donates is: 
 SSC CGL 13/12/2022 (3rd Shift) 
 (a) 3%  (b) 6%  (c) 8%  (d) 4% 
 Q.16.  The  expenditure  on  the  cost  of 
 living  of  a  man  and  his  family  is  60%  of 
 his  salary.  He  gets  two  increments  of 
 30%  and  60%  in  his  salary.  If  his  saving 
 increases  by  250%  of  his  initial  saving, 
 then  the  new  cost  of  living  expenditure  is 
 what  percentage  (rounded  off  to  the 
 nearest integer) of the increased salary? 
 SSC CGL 12/12/2022 (4th Shift) 
 (a) 32.7 Percent  (b) 43.6 Percent 
 (c) 29.5 Percent  (d) 36.6 Percent 
 Q.17.  A  mask  manufacturing  company 
 manufactured  ‘X’  number  of  masks  in 
 2018.  It  increased  its  manufacturing 
 capacity  by  30%  in  2019  and  further 
 increased  its  manufacturing  by  15%  in 
 2020.  In  2021,  due  to  the  machinery 
 breakdown,  its  manufacturing  declined 
 by  40%.  What  is  the  value  of  ‘X’  if  it 
 manufactured 179400 masks in 2021? 
 SSC CGL 07/12/2022 (1st Shift) 
 (a) 180000  (b) 230000 
 (c) 200000  (d) 210000 
 Q.18.  The  population  of  country  A 
 decreased  by  p%  and  the  population  of 
 country  B  decreased  by  q%  from  the 
 year  2020  to  2021.  Here  'p'  is  greater 
 than  'q'.  Let  'x'  be  the  ratio  of  the 
 population  of  country  A  to  the  population 
 of  country  B  in  the  given  year.  What  is  the 
 percentage  decrease  in  'x'  from  2020  to 
 2021? 
 SSC CGL 06/12/2022 (2nd Shift) 
 (a)  (b) 
 100 ( ??    -    ?? )
( 100    -    ?? )
 100 ( ??    -    ?? )
 100    +    ?? 
 (c)  (d) 
 100 ( ??    -    ?? )
 100    -    ?? 
 100 ( ??    -    ?? )
 100    
 Q.19.  In  an  election  between  two 
 candidates,  the  defeated  candidate 
 secured  42%  of  the  valid  votes  polled  and 
 lost  the  election  by  7,68,400  votes.  If 
 82,560  votes  were  declared  invalid  and 
 20%  people  did  NOT  cast  their  vote,  then 
 the  invalid  votes  were  what  percentage 
 (rounded  off  to  1  decimal  place)  of  the 
 votes which people did NOT cast ? 
 SSC CGL 02/12/2022 (2nd Shift) 
 (a) 10.6 Percent  (b) 9.8 Percent 
 (c) 12.9 Percent  (d) 6.8 Percent 
 Q.20.  Sonam  is  a  cab  driver,  who  plies 
 within  a  city.  The  number  of  kilometres 
 that  she  drives  on  a  Tuesday  was  12.5% 
 less  than  the  number  of  kilometres  that 
 she  drives  on  the  day  before.On  the  other 
 hand,  the  number  of  kilometres  that  she 
 drives  on  Wednesday  was  20%  more 
 than  the  number  of  kilometres  that  she 
 drives  on  Tuesday.  If  Sonam  drives  a 
 total  of  336  km  on  Wednesday,  how 
 many  kilometers  did  she  drive  on 
 Monday ? 
 SSC CHSL 02/06/2022 (Morning) 
 (a) 315  (b) 318  (c) 320  (d) 324 
 Q.21.  In  an  election,  there  were  three 
 candidates:  A,  B  and  C.  10%  of  the 
 eligible  voters  did  not  vote.  Out  of  those 
 who  voted,  45%  voted  for  A,  35%  voted 
 for  B  and  the  remaining  20%  voted  for  C. 
 30%  of  the  votes  polled  for  A  and  20%  of 
 the  votes  polled  for  B  were  later  deemed 
 invalid,  while  all  the  votes  polled  for  C 
 were  deemed  valid.  If  A  got  882  more 
 valid  votes  than  B  did,  how  many  valid 
 votes did C receive? 
 SSC CHSL 27/05/2022 ( Afternoon ) 
 (a) 5020  (b) 5040   (c) 5050   (d) 5060 
 Q.22.  A  fruit  seller  sells  45%  of  the 
 oranges  that  he  has  along  with  one  more 
 oranges  to  a  customer  .  He  then  sells 
 20%  of  the  remaining  oranges  and  2 
 more  oranges  to  a  second  customer.  He 
 then  sells  90%  of  the  now  remaining 
 oranges  to  a  third  customer  and  is  still 
 left  with  5  oranges.  How  many  oranges 
 did the fruit seller have initially? 
 SSC CGL 19/04/2022 (Evening) 
 (a) 100  (b) 111  (c) 121  (d) 120 
 Q.23.  By  mistake,  the  reciprocal  of  a 
 positive  fraction  got  typed  in  place  of 
 itself,  and  thereby  its  value  got  reduced 
 by  %.  What  was  the  value  of  the 
 175 
 4 
 fraction? 
 SSC CGL 24/08/2021 (Evening) 
 (a)  (b)  (c)  (d) 
 1 
 2 
 4 
 3 
 3 
 4 
 1 
 4 
 Q.24.  The  income  of  A  is  20%  less  than 
 the  income  of  B  and  the  income  of  C  is 
 70%  of  the  sum  of  incomes  of  A  and  B. 
 The  income  of  D  is  25%  more  than  the 
 income  of  C.  If  the  difference  between 
 the  incomes  of  B  and  D  is  Rs  23000,  then 
 what is the income (in Rs) of A? 
 SSC CGL 18/08/2021 (Afternoon) 
 (a) 32000 (b) 25000 (c) 26000 (d) 28000 
 Q.25.  A  certain  number  of  students  from 
 school  X  appeared  in  an  examination  and 
 20%  students  failed.  From  school  Y, 
 130%  more  students  than  that  from 
 school  X,  appeared  in  the  same 
 examination.  If  90%  of  the  total  number 
 of  students  appeared  from  both  the 
 schools  passed,  then  what  is  the 
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Page 3


 Pinnacle  Day: 66th - 70th  Percentage 
 Percentage 
 Key Points :- 
 What does a percentage, say 20% mean? 
 20%  simply  means  of  something. 
 20 
 100 
 Also, you can see  =  = 
 20 
 100 
 1 
 5 
 0 . 2 
 i.e.  0.2  of  something  is  the  same  as  20% 
 of that thing. 
 ?  Percentage change 
 =  100 
 ??????     ??????????    -    ????????????????     ?????????? 
 ????????????????     ?????????? 
×
 ?  Percentage  point  change  means 
 difference  between  two  percentage 
 rates.  For  instance,  50%  -  30%  =  20%, 
 so  here  the  percentage  point  change 
 is 20. 
 ?  If  the  price  of  a  product  increases  by 
 %,  then  to  keep  expenditure  same,  ?? 
 percentage  reduction  in 
 consumption required 
 = (  100)% 
 ?? 
 100    +    ?? 
×
 ?  If  the  price  of  a  product  decreases 
 by  %,  then  to  keep  expenditure  ?? 
 same,  percentage  increase  in 
 consumption required 
 = (  100)% 
 ?? 
 100    -    ?? 
×
 ?  If  A  is  R%  more  than  B,  then  B  is  less 
 than A by =  (  100)% 
 ?? 
 100    +    ?? 
×
 ?  If  A  is  R%  less  than  B,  then  B  is  more 
 than A by = (  100)% 
 ?? 
 100    -    ?? 
×
 ?  If  the  number  is  ?rst  increased  by  x% 
 and  then  decreased  by  x%,  then  the 
 net  result  is  always  decrease  and  it 
 is  equal  to  =  %.  Same  result (
 ?? 
 2 
 100 
)
 will  be  obtained  in  the  vice-versa 
 case. 
 Successive percentage change : 
 1.  Two  successive  percentage 
 change  :  If  the  number  is  ?rst 
 increased  by  a%  and  then 
 increased by b% then, 
 Effective percentage change 
 = (a + b +  )% 
 ???? 
 100 
 Similarly,  if  the  number  is  ?rst 
 increased  by  a%  and  then 
 decreased by b%, then 
 Effective percentage change 
 = (a - b -  )% 
 ???? 
 100 
 2.  Three  successive  percentage 
 change  :  If  the  number  is  ?rst 
 increased by a% then by b% and 
 then by c%, then 
 Effective percentage change = 
 (a + b + c +  +  )% 
 ????    +    ????    +    ???? 
 100 
 ?????? 
 10000 
 Important  Fractions  and  their  equivalent 
 Percentage 
 1)  =  2)  = 33  % = 33.33% 
 1 
 2 
 50% 
 1 
 3 
 1 
 3 
 3)  =  4)  = 
 1 
 4 
 25% 
 1 
 5 
 20% 
 5)  =  16.67%  6)  =  14  %  =  14.28% 
 1 
 6 
 1 
 7 
 2 
 7 
 7)  = 12.5%  8)  = 11  % =  11.11% 
 1 
 8 
 1 
 9 
 1 
 9 
 9)  = 10%  10)  = 9  %  = 9.09% 
 1 
 10 
 1 
 11 
 1 
 11 
 11)  = 8  %  12)  = 7.69% 
 1 
 12 
 1 
 3 
 1 
 13 
 13)  = 7.14%  14)  = 6.67% 
 1 
 14 
 1 
 15 
 15)  = 6.25%  16)  =  83  % 
 1 
 16 
 5 
 6 
 1 
 3 
 17)  = 37.5%  18)  = 62.5% 
 3 
 8 
 5 
 8 
 19)  = 87.5%  20)  = 27.27% 
 7 
 8 
 3 
 11 
 21)  = 66  % =  % 
 2 
 3 
 2 
 3 
 200 
 3 
 22)  =  2  = 233  % 
 7 
 3 
 1 
 3 
 1 
 3 
 23)  =  1  = 112.5% 
 9 
 8 
 1 
 8 
 24)  =  28.56% 
 2 
 7 
 These  fractions  are  very  common  and  it 
 will be very helpful to learn them. 
 Variety Questions 
 Q.1.  In  an  election  between  two 
 candidates,  64%  of  the  voters  cast  their 
 votes,  out  of  which  4%  of  the  votes  were 
 declared  invalid.  A  candidate  got  12,288 
 votes  which  were  64%  of  the  total  valid 
 votes.  Find  the  total  number  of  votes 
 enrolled in that election. 
 SSC CHSL Tier II  (02/11/2023) 
 (a) 30,250  (b) 32,152 
 (c) 31,250  (d) 20,152 
 Q.2.  Ayush  spends  25%  of  an  amount  of 
 money  on  an  insurance  policy,  26%  on 
 food,  23%  on  children’s  education  and 
 19%  on  recreation.  He  deposits  the 
 remaining  amount  of  ?26,600  in  the 
 bank.  What  is  the  total  amount  (in  ?)  that 
 he  spends  on  food  and  recreation 
 together? 
 SSC CPO 05/10/2023 (3rd Shift) 
 (a) 1,95,000  (b) 1,83,000 
 (c) 1,62,000  (d) 1,71,000 
 Q.3.  The  monthly  income  of  an  employee 
 was  ?26,500  and  his  monthly 
 expenditure  was  ?22,000.  Next  year  his 
 income  increased  by  20%  and  his 
 expenditure  increased  by  15%.  Find  the 
 percentage increase in his savings. 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 44  %  (b) 44  % 
 4 
 9 
 7 
 9 
 (c) 44  %  (d) 44  % 
 5 
 9 
 8 
 9 
 Q.4.  The  cost  price  of  pulses  is  12%  less 
 than  the  selling  price.  Using  a  faulty 
 weighing  machine,  shopkeeper  is  able  to 
 earn  25%  pro?t.  How  much  percent  of 
 the  faulty  machine  shows  more  weight 
 as  compared  to  the  actual  weight 
 (Rounded off to the nearest integer)? 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 10%  (b) 14%  (c) 13%  (d) 15% 
 Q.5.  Swastik  saves  20%  of  his  income 
 while  spends  the  remaining  amount  on 
 food,  rent,  education  and  shopping.  15% 
 of  the  income  is  spent  on  food,  while 
 ?12,800  is  spent  on  rent,  ?32,000  on 
 education  and  ?7,200  on  shopping.  The 
 amount  spent  on  shopping  is  11.25%  of 
 the  total  expenditure.  How  much  money 
 (in ?) is spent on food? 
 SSC CPO 03/10/2023 (2nd  Shift) 
 (a) 9600  (b) 12000  (c) 15000  (d) 10800 
 Q.6.  A  number  is  ?rst  increased  by  16% 
 and  then  increased  by  20%.  The  number 
 so  obtained  is  now  decreased  by  40%. 
 The  net  decrease  percentage  in  the 
 original number is: 
 SSC CHSL 14/08/2023 (4th Shift) 
 (a) 16  %  (b) 15  % 
 12 
 25 
 9 
 25 
 (c) 11  %  (d) 13  % 
 13 
 25 
 7 
 25 
 Q.7.  Two  candidates  A  and  B  contested 
 in  an  election.  80%  of  the  voters  cast 
 their  votes,  out  of  which  2%  of  the  votes 
 were  invalid.  A  got  9,408  votes  which 
 was  60%  of  the  valid  votes.  Find  the  total 
 number of votes. 
 SSC CHSL 10/08/2023 (4th Shift) 
 (a) 12,000  (b) 22,000 
 (c) 20,000  (d) 21,000 
 Q.8.  A  number  ?rst  increased  by  8%  and 
 then  decreased  by  3%  to  get  2619.  What 
 is 5% of that number ? 
 SSC CHSL 10/08/2023 (3rd Shift) 
 (a) 125   (b) 135   (c) 130   (d) 140 
 Q.9.  A  spends  68%  of  his  monthly 
 income.  If  A's  monthly  income  increases 
 by  25%  and  his  monthly  saving  increases 
 by  15%,  then  the  percentage  increase  in 
 his monthly expenditure will be: 
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 Pinnacle  Day: 66th - 70th  Percentage 
 SSC CHSL 09/08/2023 (1st Shift) 
 (a) 27  %  (b)  29  % 
 13 
 17 
 12 
 17 
 (c) 33  %  (d) 31  % 
 7 
 17 
 6 
 17 
 Q.10.  Harsha's  expenditure  is  45%  of  her 
 income.  If  the  income  from  the  next 
 month  is  increased  by  15%  and  the 
 amount  she  saved  each  month  remains 
 the  same,  then  ?nd  the  percentage 
 increase  in  her  expenditure  (rounded  off 
 to 2 decimal places). 
 SSC CHSL 07/08/2023 (4th Shift) 
 (a) 33.33%  (b) 15.00% 
 (c) 45.00%  (d) 27.50% 
 Q.11.  The  price  of  an  article  is  increased 
 by  r%.  The  new  price  was  decreased  by 
 r%  later.  Now  the  latest  price  is 
 Rs.1.What  was  the  original  price  of  the 
 article? 
 SSC CGL 20/07/2023 (3rd shift) 
 (a)  (b) 
 10000 
 10000    -    ?? 
 2 
 10000    -       ?? 
 2 
   
 10000 
 (c)  (d) 
 100 
 100    -    ?? 
 2 
 100 
 1    -    ?? 
 2 
 Q.12.  Aditya  buys  300  mangoes  for 
 Rs.1,100.  Some  of  these  mangoes  are 
 rotten  and  are  thrown  away.  He  sells  the 
 remaining  mangoes  at  Rs.5  each  and 
 makes  a  pro?t  of  Rs.150.  Find  the 
 percentage of mangoes thrown away. 
 SSC CGL 19/07/2023 (4th shift) 
 (a) 16  (b) 
 1 
 2 
 %  15 
 2 
 3 
 % 
 (c) 16  (d) 16 
 2 
 3 
 % 
 1 
 3 
 % 
 Q.13.  In  an  election,  15%  of  the  voters  on 
 the  voters  list  did  not  cast  their  votes  and 
 100  voters  cast  their  ballot  paper  blank. 
 There  were  only  two  candidates  Ram  and 
 Shyam.  The  winner,  Ram,  was  supported 
 by  69%  of  all  the  voters  in  the  list  and  he 
 got  630  votes  more  than  Shyam.  Find  the 
 number of voters on the list. 
 Matriculation Level 30/06/2023 (Shift - 3) 
 (a) 1200  (b) 1000  (c) 1100  (d) 1300 
 Q.14.  If  the  price  of  rice  is  increased  by 
 25  percent,  then  by  what  percentage 
 consumption  of  rice  should  be 
 decreased  so  that  the  expenditure 
 incurred  on  rice  gets  decreased  by  40 
 percent? 
 SSC CHSL 21/03/2023 (4th Shift) 
 (a) 52 %  (b) 43.33 (c) 42 %  (d) 48 % 
 Q.15.  Shiva’s  monthly  salary  is 
 Rs.75,000.  He  spends  Rs.12,000  on 
 household  items,  Rs.14,000  on  LIC  and 
 mutual  funds,  Rs.15,000  on  his  children’s 
 education,  and  keeps  Rs.10,000  for 
 miscellaneous  expenses.  His  savings  are 
 Rs.21,000  per  month  and  he  donates  the 
 rest  of  the  amount  to  an  orphanage.  The 
 percentage  of  his  income  that  he 
 donates is: 
 SSC CGL 13/12/2022 (3rd Shift) 
 (a) 3%  (b) 6%  (c) 8%  (d) 4% 
 Q.16.  The  expenditure  on  the  cost  of 
 living  of  a  man  and  his  family  is  60%  of 
 his  salary.  He  gets  two  increments  of 
 30%  and  60%  in  his  salary.  If  his  saving 
 increases  by  250%  of  his  initial  saving, 
 then  the  new  cost  of  living  expenditure  is 
 what  percentage  (rounded  off  to  the 
 nearest integer) of the increased salary? 
 SSC CGL 12/12/2022 (4th Shift) 
 (a) 32.7 Percent  (b) 43.6 Percent 
 (c) 29.5 Percent  (d) 36.6 Percent 
 Q.17.  A  mask  manufacturing  company 
 manufactured  ‘X’  number  of  masks  in 
 2018.  It  increased  its  manufacturing 
 capacity  by  30%  in  2019  and  further 
 increased  its  manufacturing  by  15%  in 
 2020.  In  2021,  due  to  the  machinery 
 breakdown,  its  manufacturing  declined 
 by  40%.  What  is  the  value  of  ‘X’  if  it 
 manufactured 179400 masks in 2021? 
 SSC CGL 07/12/2022 (1st Shift) 
 (a) 180000  (b) 230000 
 (c) 200000  (d) 210000 
 Q.18.  The  population  of  country  A 
 decreased  by  p%  and  the  population  of 
 country  B  decreased  by  q%  from  the 
 year  2020  to  2021.  Here  'p'  is  greater 
 than  'q'.  Let  'x'  be  the  ratio  of  the 
 population  of  country  A  to  the  population 
 of  country  B  in  the  given  year.  What  is  the 
 percentage  decrease  in  'x'  from  2020  to 
 2021? 
 SSC CGL 06/12/2022 (2nd Shift) 
 (a)  (b) 
 100 ( ??    -    ?? )
( 100    -    ?? )
 100 ( ??    -    ?? )
 100    +    ?? 
 (c)  (d) 
 100 ( ??    -    ?? )
 100    -    ?? 
 100 ( ??    -    ?? )
 100    
 Q.19.  In  an  election  between  two 
 candidates,  the  defeated  candidate 
 secured  42%  of  the  valid  votes  polled  and 
 lost  the  election  by  7,68,400  votes.  If 
 82,560  votes  were  declared  invalid  and 
 20%  people  did  NOT  cast  their  vote,  then 
 the  invalid  votes  were  what  percentage 
 (rounded  off  to  1  decimal  place)  of  the 
 votes which people did NOT cast ? 
 SSC CGL 02/12/2022 (2nd Shift) 
 (a) 10.6 Percent  (b) 9.8 Percent 
 (c) 12.9 Percent  (d) 6.8 Percent 
 Q.20.  Sonam  is  a  cab  driver,  who  plies 
 within  a  city.  The  number  of  kilometres 
 that  she  drives  on  a  Tuesday  was  12.5% 
 less  than  the  number  of  kilometres  that 
 she  drives  on  the  day  before.On  the  other 
 hand,  the  number  of  kilometres  that  she 
 drives  on  Wednesday  was  20%  more 
 than  the  number  of  kilometres  that  she 
 drives  on  Tuesday.  If  Sonam  drives  a 
 total  of  336  km  on  Wednesday,  how 
 many  kilometers  did  she  drive  on 
 Monday ? 
 SSC CHSL 02/06/2022 (Morning) 
 (a) 315  (b) 318  (c) 320  (d) 324 
 Q.21.  In  an  election,  there  were  three 
 candidates:  A,  B  and  C.  10%  of  the 
 eligible  voters  did  not  vote.  Out  of  those 
 who  voted,  45%  voted  for  A,  35%  voted 
 for  B  and  the  remaining  20%  voted  for  C. 
 30%  of  the  votes  polled  for  A  and  20%  of 
 the  votes  polled  for  B  were  later  deemed 
 invalid,  while  all  the  votes  polled  for  C 
 were  deemed  valid.  If  A  got  882  more 
 valid  votes  than  B  did,  how  many  valid 
 votes did C receive? 
 SSC CHSL 27/05/2022 ( Afternoon ) 
 (a) 5020  (b) 5040   (c) 5050   (d) 5060 
 Q.22.  A  fruit  seller  sells  45%  of  the 
 oranges  that  he  has  along  with  one  more 
 oranges  to  a  customer  .  He  then  sells 
 20%  of  the  remaining  oranges  and  2 
 more  oranges  to  a  second  customer.  He 
 then  sells  90%  of  the  now  remaining 
 oranges  to  a  third  customer  and  is  still 
 left  with  5  oranges.  How  many  oranges 
 did the fruit seller have initially? 
 SSC CGL 19/04/2022 (Evening) 
 (a) 100  (b) 111  (c) 121  (d) 120 
 Q.23.  By  mistake,  the  reciprocal  of  a 
 positive  fraction  got  typed  in  place  of 
 itself,  and  thereby  its  value  got  reduced 
 by  %.  What  was  the  value  of  the 
 175 
 4 
 fraction? 
 SSC CGL 24/08/2021 (Evening) 
 (a)  (b)  (c)  (d) 
 1 
 2 
 4 
 3 
 3 
 4 
 1 
 4 
 Q.24.  The  income  of  A  is  20%  less  than 
 the  income  of  B  and  the  income  of  C  is 
 70%  of  the  sum  of  incomes  of  A  and  B. 
 The  income  of  D  is  25%  more  than  the 
 income  of  C.  If  the  difference  between 
 the  incomes  of  B  and  D  is  Rs  23000,  then 
 what is the income (in Rs) of A? 
 SSC CGL 18/08/2021 (Afternoon) 
 (a) 32000 (b) 25000 (c) 26000 (d) 28000 
 Q.25.  A  certain  number  of  students  from 
 school  X  appeared  in  an  examination  and 
 20%  students  failed.  From  school  Y, 
 130%  more  students  than  that  from 
 school  X,  appeared  in  the  same 
 examination.  If  90%  of  the  total  number 
 of  students  appeared  from  both  the 
 schools  passed,  then  what  is  the 
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 Pinnacle  Day: 66th - 70th  Percentage 
 percentage  of  students  from  school  Y 
 who  failed  (correct  to  one  decimal 
 place)? 
 SSC CGL 17/08/2021 (Morning) 
 (a) 8.3%  (b) 10%  (c) 6.4%  (d) 5.7% 
 Q.26.  In  a  workshop  with  80  students 
 and  10  resource  persons,  sweets  were 
 distributed  at  the  end  of  the  workshop. 
 The  amount  spent  for  distributing  sweets 
 to  each  student  was  30%  of  the  total 
 number  of  students  and  the  amount 
 spent  towards  each  resource  person  was 
 40%  of  the  total  number  of  students.  The 
 total  amount  spent  for  sweets 
 distribution in the workshop was: 
 SSC CHSL 10/08/2021 (Afternoon) 
 (a) Rs. 2400  (b) Rs. 2440 
 (c) Rs. 2420  (d) Rs. 2240 
 Q.27.  In  a  constituency,  55%  of  the  total 
 number  of  voters  are  males  and  the  rest 
 are  females.  If  40%  of  the  males  are 
 illiterate  and  40%  of  the  females  are 
 literate,  then  by  what  percentage  is  the 
 number  of  illiterate  females  more  than 
 that  if  the  illiterate  males(correct  to  the 
 one decimal place) 
 SSC CHSL 04/08/2021 (Evening) 
 (a) 22.7%  (b) 16.4%  (c) 21.5%  (d) 20.8% 
 Q.28.  A  reduction  of  20%  in  the  price  of 
 sugar  enables  a  purchaser  to  obtain  4  kg 
 more  for  Rs.160.  The  original  price  of 
 sugar per kg is: 
 SSC CHSL 20/10/2020 (Morning) 
 (a) 12  (b) 10       (c) 14      (d) 15 
 Q.29.  A  student  multiplied  a  number  with 
 instead  of  .  What  is  the  error 
 3 
 4 
 4 
 3 
 percentage? 
 SSC CHSL 15/10/2020  (Afternoon) 
 (a) 59.67%  (b) 43.75% 
 (c) 67.45%  (d) 39.34% 
 Q.30  .  A  crate  of  fruits  contains  one 
 spoiled  fruit  for  every  25  fruits.  60%  of 
 the  spoiled  fruits  were  sold.  If  the  seller 
 had  sold  48  spoiled  fruits,  then  the 
 number of fruits in the crate were: 
 SSC CHSL 14/10/2020  (Afternoon) 
 (a) 2000   (b) 2400   (c) 3000   (d) 1200 
 Q.31.  If  each  edge  of  a  cube  is  increased 
 by  10%,  then  the  percentage  increase  in 
 its surface area is: 
 SSC CHSL 13/10/2020  (Afternoon) 
 (a) 21%   (b) 19%   (c) 22%   (d) 20% 
 Q.32.  In  a  school,  4%  of  the  students  did 
 not  appear  for  the  annual  exams.  10%  of 
 the  students  who  appeared  for  the 
 exams  could  not  pass  the  exam.  Out  of 
 the  remaining  students,  50%  got 
 distinction  marks  and  432  students 
 passed  the  exam  but  could  not  get 
 distinction  marks.  The  total  number  of 
 students in the school is: 
 SSC CGL 06/03/2020 (Afternoon) 
 (a) 960  (b) 1000    (c) 878  (d) 1200 
 Q.33.  A,  B  and  C  donate  8%,7%  and  9%, 
 of  their  salaries  respectively  to  a 
 charitable  trust.  The  salaries  of  A  and  B 
 are  the  same  and  the  difference  between 
 their  donations  is  ?259.  The  total 
 donation  of  A  and  B  is  ?1,185  more  than 
 that  of  C.  The  total  donation  of  A  and  C  is 
 what  percentage  of  the  total  salaries  of 
 A,  B  and  C?  (Correct  to  one  decimal 
 place) 
 SSC CGL 04/03/2020 (Evening) 
 (a) 6.2 %    (b) 5.8 %  (c) 6.4 %   (d) 7.1% 
 Q.34.  The  income  of  A  is  60%  less  than 
 that  of  B,  and  the  expenditure  of  A  is 
 equal  to  60%  of  B’s  expenditure.  If  A’s 
 income  is  equal  to  70%  of  B’s 
 expenditure,  then  what  is  the  ratio  of  the 
 savings of A and B? 
 SSC CGL 04/03/2020 (Afternoon) 
 (a) 3 : 8    (b) 5 : 9        (c) 4 : 7    (d) 2 : 15 
 Q.35.  The  population  of  town  B  is  300% 
 more  than  that  of  town  A.  For  the  next 
 two  years,  the  population  of  A  increases 
 by  x%  per  year  and  that  of  B  decreases 
 by  the  same  percentage  per  year.  After  2 
 years,  if  the  population  of  A  and  B 
 become equal, then the value of x is ____. 
 SSC CPO 13/12/2019(Evening) 
 (a) 30  (b) 40    (c) 25      (d) 33 
 2 
 3 
 1 
 3 
 Q.36.  The  monthly  salary  of  a  person 
 was  Rs.50,000.  He  used  to  spend  on 
 three  heads-  personal  and  family 
 expenses  (E),  taxes(T),  philanthropy  (P), 
 and  the  rest  were  his  savings.  E  was  50% 
 of  the  income,  T  was  20%of  E  and  P  was 
 15%  of  T.  When  his  salary  got  raised  by 
 40%,  he  maintained  the  average  level  of 
 E,  but  T  became  30%  of  E  and  P  became 
 20%  of  T.  By  what  percentage  is  the  new 
 savings  more  or  less  than  the  earlier 
 savings?(correct upto one decimal place) 
 SSC CPO 09/12/2019 (Morning) 
 (a) 16.4% more  (b) 8.2% more 
 (c) 16.4% less       (d) 8.2% less 
 Q.37.  In  an  examination,  A  obtained  10% 
 more  marks  than  B,  B  obtained  20%  more 
 marks  than  C  and  C  obtained  32%  less 
 marks  that  D.  If  A  obtained  272  more 
 marks  than  C,  then  the  marks  obtained 
 by B is : 
 SSC CGL Tier II (13/09/2019) 
 (a) 850  (b) 816 
 (c) 1020  (d) 952 
 Q.38.  If  A  is  28%  more  than  B  and  C  is 
 25%  less  than  the  sum  of  A  and  B,  then 
 by what percent will C be more than A 
 (correct to one decimal place)? 
 SSC CGL Tier II (11/09/2019) 
 (a) 32.2%  (b) 28%   (c) 43%  (d) 33.6% 
 Q.39.  When  the  price  of  an  item  was 
 reduced  by  25%,  then  its  sale  was 
 increased  by  x%.  If  there  is  an  increase  of 
 20%  in  the  receipt  of  the  revenue,  then 
 the value of x will be : 
 SSC CGL Tier II (11/09/2019) 
 (a) 50%  (b) 60%     (c) 45%   (d) 75% 
 Q.40.  With  reference  to  a  number  greater 
 than  one,  the  difference  between  itself 
 and  its  reciprocal  is  25%  of  the  sum  of 
 itself  and  its  reciprocal.  By  how  much 
 percentage  (correct  one  decimal  place) 
 is  the  fourth  power  of  the  number  greater 
 than its square? 
 SSC CHSL 11/07/2019 (Morning) 
 (a) 57.8     (b) 62.5  (c) 64.5 (d) 66.7 
 Q.41.  For  an  examination  of  a  practical 
 based  subject,  the  total  marks  is  100. 
 The  break-up  for  theory,  practical,  project 
 and  viva  voce  is  40%,  30%,  20%,  10%.  A 
 candidate  scored  80%  in  theory,  70%  in 
 practical,  60%  in  project  and  50%  in  viva 
 voce.  What  was  her  aggregate 
 percentage ? 
 SSC CHSL 09/07/2019 (Evening) 
 (a) 70  (b) 72  (c) 68  (d) 67 
 Q.42.  Two  students,  A  and  B,  appeared 
 for  an  examination.  A  secured  8  marks 
 more  than  B  and  the  marks  of  the  former 
 was  55%  of  the  sum  of  their  marks.  The 
 marks  obtained  by  A  and  B,  respectively, 
 are : 
 SSC CHSL 05/07/2019 (Evening) 
 (a) 44, 36  (b) 36, 28  (c) 38, 30  (d) 40, 32 
 Q.43.  Sudha  decided  to  donate  12%  of 
 her  monthly  income  to  an  orphanage.  On 
 the  day  of  donation,  she  changed  her 
 decision  and  donated  a  sum  of  Rs.  4800 
 which  was  equal  to  80%  of  what  she  had 
 decided  earlier.  What  is  27%  of  her 
 monthly income ? 
 SSC CHSL 04/07/2019 (Morning) 
 (a) Rs. 13959  (b) Rs. 11934 
 (c) Rs. 14040  (d) Rs. 13500 
 Q.44.  If  decreasing  120  by  x%  gives  the 
 same  result  as  increasing  40  by  x%  then 
 x%  of  210  is  what  percent  less  than  (x  + 
 20)% of 180? 
 SSC CGL 04/06/2019 (Morning) 
 (a) 33  (b)18     (c)16  (d) 20 
 1 
 3 
 2 
 3 
 Q.45.  The  price  of  an  article  increases  by 
 20%  every  year.  If  the  difference  between 
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Page 4


 Pinnacle  Day: 66th - 70th  Percentage 
 Percentage 
 Key Points :- 
 What does a percentage, say 20% mean? 
 20%  simply  means  of  something. 
 20 
 100 
 Also, you can see  =  = 
 20 
 100 
 1 
 5 
 0 . 2 
 i.e.  0.2  of  something  is  the  same  as  20% 
 of that thing. 
 ?  Percentage change 
 =  100 
 ??????     ??????????    -    ????????????????     ?????????? 
 ????????????????     ?????????? 
×
 ?  Percentage  point  change  means 
 difference  between  two  percentage 
 rates.  For  instance,  50%  -  30%  =  20%, 
 so  here  the  percentage  point  change 
 is 20. 
 ?  If  the  price  of  a  product  increases  by 
 %,  then  to  keep  expenditure  same,  ?? 
 percentage  reduction  in 
 consumption required 
 = (  100)% 
 ?? 
 100    +    ?? 
×
 ?  If  the  price  of  a  product  decreases 
 by  %,  then  to  keep  expenditure  ?? 
 same,  percentage  increase  in 
 consumption required 
 = (  100)% 
 ?? 
 100    -    ?? 
×
 ?  If  A  is  R%  more  than  B,  then  B  is  less 
 than A by =  (  100)% 
 ?? 
 100    +    ?? 
×
 ?  If  A  is  R%  less  than  B,  then  B  is  more 
 than A by = (  100)% 
 ?? 
 100    -    ?? 
×
 ?  If  the  number  is  ?rst  increased  by  x% 
 and  then  decreased  by  x%,  then  the 
 net  result  is  always  decrease  and  it 
 is  equal  to  =  %.  Same  result (
 ?? 
 2 
 100 
)
 will  be  obtained  in  the  vice-versa 
 case. 
 Successive percentage change : 
 1.  Two  successive  percentage 
 change  :  If  the  number  is  ?rst 
 increased  by  a%  and  then 
 increased by b% then, 
 Effective percentage change 
 = (a + b +  )% 
 ???? 
 100 
 Similarly,  if  the  number  is  ?rst 
 increased  by  a%  and  then 
 decreased by b%, then 
 Effective percentage change 
 = (a - b -  )% 
 ???? 
 100 
 2.  Three  successive  percentage 
 change  :  If  the  number  is  ?rst 
 increased by a% then by b% and 
 then by c%, then 
 Effective percentage change = 
 (a + b + c +  +  )% 
 ????    +    ????    +    ???? 
 100 
 ?????? 
 10000 
 Important  Fractions  and  their  equivalent 
 Percentage 
 1)  =  2)  = 33  % = 33.33% 
 1 
 2 
 50% 
 1 
 3 
 1 
 3 
 3)  =  4)  = 
 1 
 4 
 25% 
 1 
 5 
 20% 
 5)  =  16.67%  6)  =  14  %  =  14.28% 
 1 
 6 
 1 
 7 
 2 
 7 
 7)  = 12.5%  8)  = 11  % =  11.11% 
 1 
 8 
 1 
 9 
 1 
 9 
 9)  = 10%  10)  = 9  %  = 9.09% 
 1 
 10 
 1 
 11 
 1 
 11 
 11)  = 8  %  12)  = 7.69% 
 1 
 12 
 1 
 3 
 1 
 13 
 13)  = 7.14%  14)  = 6.67% 
 1 
 14 
 1 
 15 
 15)  = 6.25%  16)  =  83  % 
 1 
 16 
 5 
 6 
 1 
 3 
 17)  = 37.5%  18)  = 62.5% 
 3 
 8 
 5 
 8 
 19)  = 87.5%  20)  = 27.27% 
 7 
 8 
 3 
 11 
 21)  = 66  % =  % 
 2 
 3 
 2 
 3 
 200 
 3 
 22)  =  2  = 233  % 
 7 
 3 
 1 
 3 
 1 
 3 
 23)  =  1  = 112.5% 
 9 
 8 
 1 
 8 
 24)  =  28.56% 
 2 
 7 
 These  fractions  are  very  common  and  it 
 will be very helpful to learn them. 
 Variety Questions 
 Q.1.  In  an  election  between  two 
 candidates,  64%  of  the  voters  cast  their 
 votes,  out  of  which  4%  of  the  votes  were 
 declared  invalid.  A  candidate  got  12,288 
 votes  which  were  64%  of  the  total  valid 
 votes.  Find  the  total  number  of  votes 
 enrolled in that election. 
 SSC CHSL Tier II  (02/11/2023) 
 (a) 30,250  (b) 32,152 
 (c) 31,250  (d) 20,152 
 Q.2.  Ayush  spends  25%  of  an  amount  of 
 money  on  an  insurance  policy,  26%  on 
 food,  23%  on  children’s  education  and 
 19%  on  recreation.  He  deposits  the 
 remaining  amount  of  ?26,600  in  the 
 bank.  What  is  the  total  amount  (in  ?)  that 
 he  spends  on  food  and  recreation 
 together? 
 SSC CPO 05/10/2023 (3rd Shift) 
 (a) 1,95,000  (b) 1,83,000 
 (c) 1,62,000  (d) 1,71,000 
 Q.3.  The  monthly  income  of  an  employee 
 was  ?26,500  and  his  monthly 
 expenditure  was  ?22,000.  Next  year  his 
 income  increased  by  20%  and  his 
 expenditure  increased  by  15%.  Find  the 
 percentage increase in his savings. 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 44  %  (b) 44  % 
 4 
 9 
 7 
 9 
 (c) 44  %  (d) 44  % 
 5 
 9 
 8 
 9 
 Q.4.  The  cost  price  of  pulses  is  12%  less 
 than  the  selling  price.  Using  a  faulty 
 weighing  machine,  shopkeeper  is  able  to 
 earn  25%  pro?t.  How  much  percent  of 
 the  faulty  machine  shows  more  weight 
 as  compared  to  the  actual  weight 
 (Rounded off to the nearest integer)? 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 10%  (b) 14%  (c) 13%  (d) 15% 
 Q.5.  Swastik  saves  20%  of  his  income 
 while  spends  the  remaining  amount  on 
 food,  rent,  education  and  shopping.  15% 
 of  the  income  is  spent  on  food,  while 
 ?12,800  is  spent  on  rent,  ?32,000  on 
 education  and  ?7,200  on  shopping.  The 
 amount  spent  on  shopping  is  11.25%  of 
 the  total  expenditure.  How  much  money 
 (in ?) is spent on food? 
 SSC CPO 03/10/2023 (2nd  Shift) 
 (a) 9600  (b) 12000  (c) 15000  (d) 10800 
 Q.6.  A  number  is  ?rst  increased  by  16% 
 and  then  increased  by  20%.  The  number 
 so  obtained  is  now  decreased  by  40%. 
 The  net  decrease  percentage  in  the 
 original number is: 
 SSC CHSL 14/08/2023 (4th Shift) 
 (a) 16  %  (b) 15  % 
 12 
 25 
 9 
 25 
 (c) 11  %  (d) 13  % 
 13 
 25 
 7 
 25 
 Q.7.  Two  candidates  A  and  B  contested 
 in  an  election.  80%  of  the  voters  cast 
 their  votes,  out  of  which  2%  of  the  votes 
 were  invalid.  A  got  9,408  votes  which 
 was  60%  of  the  valid  votes.  Find  the  total 
 number of votes. 
 SSC CHSL 10/08/2023 (4th Shift) 
 (a) 12,000  (b) 22,000 
 (c) 20,000  (d) 21,000 
 Q.8.  A  number  ?rst  increased  by  8%  and 
 then  decreased  by  3%  to  get  2619.  What 
 is 5% of that number ? 
 SSC CHSL 10/08/2023 (3rd Shift) 
 (a) 125   (b) 135   (c) 130   (d) 140 
 Q.9.  A  spends  68%  of  his  monthly 
 income.  If  A's  monthly  income  increases 
 by  25%  and  his  monthly  saving  increases 
 by  15%,  then  the  percentage  increase  in 
 his monthly expenditure will be: 
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 SSC CHSL 09/08/2023 (1st Shift) 
 (a) 27  %  (b)  29  % 
 13 
 17 
 12 
 17 
 (c) 33  %  (d) 31  % 
 7 
 17 
 6 
 17 
 Q.10.  Harsha's  expenditure  is  45%  of  her 
 income.  If  the  income  from  the  next 
 month  is  increased  by  15%  and  the 
 amount  she  saved  each  month  remains 
 the  same,  then  ?nd  the  percentage 
 increase  in  her  expenditure  (rounded  off 
 to 2 decimal places). 
 SSC CHSL 07/08/2023 (4th Shift) 
 (a) 33.33%  (b) 15.00% 
 (c) 45.00%  (d) 27.50% 
 Q.11.  The  price  of  an  article  is  increased 
 by  r%.  The  new  price  was  decreased  by 
 r%  later.  Now  the  latest  price  is 
 Rs.1.What  was  the  original  price  of  the 
 article? 
 SSC CGL 20/07/2023 (3rd shift) 
 (a)  (b) 
 10000 
 10000    -    ?? 
 2 
 10000    -       ?? 
 2 
   
 10000 
 (c)  (d) 
 100 
 100    -    ?? 
 2 
 100 
 1    -    ?? 
 2 
 Q.12.  Aditya  buys  300  mangoes  for 
 Rs.1,100.  Some  of  these  mangoes  are 
 rotten  and  are  thrown  away.  He  sells  the 
 remaining  mangoes  at  Rs.5  each  and 
 makes  a  pro?t  of  Rs.150.  Find  the 
 percentage of mangoes thrown away. 
 SSC CGL 19/07/2023 (4th shift) 
 (a) 16  (b) 
 1 
 2 
 %  15 
 2 
 3 
 % 
 (c) 16  (d) 16 
 2 
 3 
 % 
 1 
 3 
 % 
 Q.13.  In  an  election,  15%  of  the  voters  on 
 the  voters  list  did  not  cast  their  votes  and 
 100  voters  cast  their  ballot  paper  blank. 
 There  were  only  two  candidates  Ram  and 
 Shyam.  The  winner,  Ram,  was  supported 
 by  69%  of  all  the  voters  in  the  list  and  he 
 got  630  votes  more  than  Shyam.  Find  the 
 number of voters on the list. 
 Matriculation Level 30/06/2023 (Shift - 3) 
 (a) 1200  (b) 1000  (c) 1100  (d) 1300 
 Q.14.  If  the  price  of  rice  is  increased  by 
 25  percent,  then  by  what  percentage 
 consumption  of  rice  should  be 
 decreased  so  that  the  expenditure 
 incurred  on  rice  gets  decreased  by  40 
 percent? 
 SSC CHSL 21/03/2023 (4th Shift) 
 (a) 52 %  (b) 43.33 (c) 42 %  (d) 48 % 
 Q.15.  Shiva’s  monthly  salary  is 
 Rs.75,000.  He  spends  Rs.12,000  on 
 household  items,  Rs.14,000  on  LIC  and 
 mutual  funds,  Rs.15,000  on  his  children’s 
 education,  and  keeps  Rs.10,000  for 
 miscellaneous  expenses.  His  savings  are 
 Rs.21,000  per  month  and  he  donates  the 
 rest  of  the  amount  to  an  orphanage.  The 
 percentage  of  his  income  that  he 
 donates is: 
 SSC CGL 13/12/2022 (3rd Shift) 
 (a) 3%  (b) 6%  (c) 8%  (d) 4% 
 Q.16.  The  expenditure  on  the  cost  of 
 living  of  a  man  and  his  family  is  60%  of 
 his  salary.  He  gets  two  increments  of 
 30%  and  60%  in  his  salary.  If  his  saving 
 increases  by  250%  of  his  initial  saving, 
 then  the  new  cost  of  living  expenditure  is 
 what  percentage  (rounded  off  to  the 
 nearest integer) of the increased salary? 
 SSC CGL 12/12/2022 (4th Shift) 
 (a) 32.7 Percent  (b) 43.6 Percent 
 (c) 29.5 Percent  (d) 36.6 Percent 
 Q.17.  A  mask  manufacturing  company 
 manufactured  ‘X’  number  of  masks  in 
 2018.  It  increased  its  manufacturing 
 capacity  by  30%  in  2019  and  further 
 increased  its  manufacturing  by  15%  in 
 2020.  In  2021,  due  to  the  machinery 
 breakdown,  its  manufacturing  declined 
 by  40%.  What  is  the  value  of  ‘X’  if  it 
 manufactured 179400 masks in 2021? 
 SSC CGL 07/12/2022 (1st Shift) 
 (a) 180000  (b) 230000 
 (c) 200000  (d) 210000 
 Q.18.  The  population  of  country  A 
 decreased  by  p%  and  the  population  of 
 country  B  decreased  by  q%  from  the 
 year  2020  to  2021.  Here  'p'  is  greater 
 than  'q'.  Let  'x'  be  the  ratio  of  the 
 population  of  country  A  to  the  population 
 of  country  B  in  the  given  year.  What  is  the 
 percentage  decrease  in  'x'  from  2020  to 
 2021? 
 SSC CGL 06/12/2022 (2nd Shift) 
 (a)  (b) 
 100 ( ??    -    ?? )
( 100    -    ?? )
 100 ( ??    -    ?? )
 100    +    ?? 
 (c)  (d) 
 100 ( ??    -    ?? )
 100    -    ?? 
 100 ( ??    -    ?? )
 100    
 Q.19.  In  an  election  between  two 
 candidates,  the  defeated  candidate 
 secured  42%  of  the  valid  votes  polled  and 
 lost  the  election  by  7,68,400  votes.  If 
 82,560  votes  were  declared  invalid  and 
 20%  people  did  NOT  cast  their  vote,  then 
 the  invalid  votes  were  what  percentage 
 (rounded  off  to  1  decimal  place)  of  the 
 votes which people did NOT cast ? 
 SSC CGL 02/12/2022 (2nd Shift) 
 (a) 10.6 Percent  (b) 9.8 Percent 
 (c) 12.9 Percent  (d) 6.8 Percent 
 Q.20.  Sonam  is  a  cab  driver,  who  plies 
 within  a  city.  The  number  of  kilometres 
 that  she  drives  on  a  Tuesday  was  12.5% 
 less  than  the  number  of  kilometres  that 
 she  drives  on  the  day  before.On  the  other 
 hand,  the  number  of  kilometres  that  she 
 drives  on  Wednesday  was  20%  more 
 than  the  number  of  kilometres  that  she 
 drives  on  Tuesday.  If  Sonam  drives  a 
 total  of  336  km  on  Wednesday,  how 
 many  kilometers  did  she  drive  on 
 Monday ? 
 SSC CHSL 02/06/2022 (Morning) 
 (a) 315  (b) 318  (c) 320  (d) 324 
 Q.21.  In  an  election,  there  were  three 
 candidates:  A,  B  and  C.  10%  of  the 
 eligible  voters  did  not  vote.  Out  of  those 
 who  voted,  45%  voted  for  A,  35%  voted 
 for  B  and  the  remaining  20%  voted  for  C. 
 30%  of  the  votes  polled  for  A  and  20%  of 
 the  votes  polled  for  B  were  later  deemed 
 invalid,  while  all  the  votes  polled  for  C 
 were  deemed  valid.  If  A  got  882  more 
 valid  votes  than  B  did,  how  many  valid 
 votes did C receive? 
 SSC CHSL 27/05/2022 ( Afternoon ) 
 (a) 5020  (b) 5040   (c) 5050   (d) 5060 
 Q.22.  A  fruit  seller  sells  45%  of  the 
 oranges  that  he  has  along  with  one  more 
 oranges  to  a  customer  .  He  then  sells 
 20%  of  the  remaining  oranges  and  2 
 more  oranges  to  a  second  customer.  He 
 then  sells  90%  of  the  now  remaining 
 oranges  to  a  third  customer  and  is  still 
 left  with  5  oranges.  How  many  oranges 
 did the fruit seller have initially? 
 SSC CGL 19/04/2022 (Evening) 
 (a) 100  (b) 111  (c) 121  (d) 120 
 Q.23.  By  mistake,  the  reciprocal  of  a 
 positive  fraction  got  typed  in  place  of 
 itself,  and  thereby  its  value  got  reduced 
 by  %.  What  was  the  value  of  the 
 175 
 4 
 fraction? 
 SSC CGL 24/08/2021 (Evening) 
 (a)  (b)  (c)  (d) 
 1 
 2 
 4 
 3 
 3 
 4 
 1 
 4 
 Q.24.  The  income  of  A  is  20%  less  than 
 the  income  of  B  and  the  income  of  C  is 
 70%  of  the  sum  of  incomes  of  A  and  B. 
 The  income  of  D  is  25%  more  than  the 
 income  of  C.  If  the  difference  between 
 the  incomes  of  B  and  D  is  Rs  23000,  then 
 what is the income (in Rs) of A? 
 SSC CGL 18/08/2021 (Afternoon) 
 (a) 32000 (b) 25000 (c) 26000 (d) 28000 
 Q.25.  A  certain  number  of  students  from 
 school  X  appeared  in  an  examination  and 
 20%  students  failed.  From  school  Y, 
 130%  more  students  than  that  from 
 school  X,  appeared  in  the  same 
 examination.  If  90%  of  the  total  number 
 of  students  appeared  from  both  the 
 schools  passed,  then  what  is  the 
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 Pinnacle  Day: 66th - 70th  Percentage 
 percentage  of  students  from  school  Y 
 who  failed  (correct  to  one  decimal 
 place)? 
 SSC CGL 17/08/2021 (Morning) 
 (a) 8.3%  (b) 10%  (c) 6.4%  (d) 5.7% 
 Q.26.  In  a  workshop  with  80  students 
 and  10  resource  persons,  sweets  were 
 distributed  at  the  end  of  the  workshop. 
 The  amount  spent  for  distributing  sweets 
 to  each  student  was  30%  of  the  total 
 number  of  students  and  the  amount 
 spent  towards  each  resource  person  was 
 40%  of  the  total  number  of  students.  The 
 total  amount  spent  for  sweets 
 distribution in the workshop was: 
 SSC CHSL 10/08/2021 (Afternoon) 
 (a) Rs. 2400  (b) Rs. 2440 
 (c) Rs. 2420  (d) Rs. 2240 
 Q.27.  In  a  constituency,  55%  of  the  total 
 number  of  voters  are  males  and  the  rest 
 are  females.  If  40%  of  the  males  are 
 illiterate  and  40%  of  the  females  are 
 literate,  then  by  what  percentage  is  the 
 number  of  illiterate  females  more  than 
 that  if  the  illiterate  males(correct  to  the 
 one decimal place) 
 SSC CHSL 04/08/2021 (Evening) 
 (a) 22.7%  (b) 16.4%  (c) 21.5%  (d) 20.8% 
 Q.28.  A  reduction  of  20%  in  the  price  of 
 sugar  enables  a  purchaser  to  obtain  4  kg 
 more  for  Rs.160.  The  original  price  of 
 sugar per kg is: 
 SSC CHSL 20/10/2020 (Morning) 
 (a) 12  (b) 10       (c) 14      (d) 15 
 Q.29.  A  student  multiplied  a  number  with 
 instead  of  .  What  is  the  error 
 3 
 4 
 4 
 3 
 percentage? 
 SSC CHSL 15/10/2020  (Afternoon) 
 (a) 59.67%  (b) 43.75% 
 (c) 67.45%  (d) 39.34% 
 Q.30  .  A  crate  of  fruits  contains  one 
 spoiled  fruit  for  every  25  fruits.  60%  of 
 the  spoiled  fruits  were  sold.  If  the  seller 
 had  sold  48  spoiled  fruits,  then  the 
 number of fruits in the crate were: 
 SSC CHSL 14/10/2020  (Afternoon) 
 (a) 2000   (b) 2400   (c) 3000   (d) 1200 
 Q.31.  If  each  edge  of  a  cube  is  increased 
 by  10%,  then  the  percentage  increase  in 
 its surface area is: 
 SSC CHSL 13/10/2020  (Afternoon) 
 (a) 21%   (b) 19%   (c) 22%   (d) 20% 
 Q.32.  In  a  school,  4%  of  the  students  did 
 not  appear  for  the  annual  exams.  10%  of 
 the  students  who  appeared  for  the 
 exams  could  not  pass  the  exam.  Out  of 
 the  remaining  students,  50%  got 
 distinction  marks  and  432  students 
 passed  the  exam  but  could  not  get 
 distinction  marks.  The  total  number  of 
 students in the school is: 
 SSC CGL 06/03/2020 (Afternoon) 
 (a) 960  (b) 1000    (c) 878  (d) 1200 
 Q.33.  A,  B  and  C  donate  8%,7%  and  9%, 
 of  their  salaries  respectively  to  a 
 charitable  trust.  The  salaries  of  A  and  B 
 are  the  same  and  the  difference  between 
 their  donations  is  ?259.  The  total 
 donation  of  A  and  B  is  ?1,185  more  than 
 that  of  C.  The  total  donation  of  A  and  C  is 
 what  percentage  of  the  total  salaries  of 
 A,  B  and  C?  (Correct  to  one  decimal 
 place) 
 SSC CGL 04/03/2020 (Evening) 
 (a) 6.2 %    (b) 5.8 %  (c) 6.4 %   (d) 7.1% 
 Q.34.  The  income  of  A  is  60%  less  than 
 that  of  B,  and  the  expenditure  of  A  is 
 equal  to  60%  of  B’s  expenditure.  If  A’s 
 income  is  equal  to  70%  of  B’s 
 expenditure,  then  what  is  the  ratio  of  the 
 savings of A and B? 
 SSC CGL 04/03/2020 (Afternoon) 
 (a) 3 : 8    (b) 5 : 9        (c) 4 : 7    (d) 2 : 15 
 Q.35.  The  population  of  town  B  is  300% 
 more  than  that  of  town  A.  For  the  next 
 two  years,  the  population  of  A  increases 
 by  x%  per  year  and  that  of  B  decreases 
 by  the  same  percentage  per  year.  After  2 
 years,  if  the  population  of  A  and  B 
 become equal, then the value of x is ____. 
 SSC CPO 13/12/2019(Evening) 
 (a) 30  (b) 40    (c) 25      (d) 33 
 2 
 3 
 1 
 3 
 Q.36.  The  monthly  salary  of  a  person 
 was  Rs.50,000.  He  used  to  spend  on 
 three  heads-  personal  and  family 
 expenses  (E),  taxes(T),  philanthropy  (P), 
 and  the  rest  were  his  savings.  E  was  50% 
 of  the  income,  T  was  20%of  E  and  P  was 
 15%  of  T.  When  his  salary  got  raised  by 
 40%,  he  maintained  the  average  level  of 
 E,  but  T  became  30%  of  E  and  P  became 
 20%  of  T.  By  what  percentage  is  the  new 
 savings  more  or  less  than  the  earlier 
 savings?(correct upto one decimal place) 
 SSC CPO 09/12/2019 (Morning) 
 (a) 16.4% more  (b) 8.2% more 
 (c) 16.4% less       (d) 8.2% less 
 Q.37.  In  an  examination,  A  obtained  10% 
 more  marks  than  B,  B  obtained  20%  more 
 marks  than  C  and  C  obtained  32%  less 
 marks  that  D.  If  A  obtained  272  more 
 marks  than  C,  then  the  marks  obtained 
 by B is : 
 SSC CGL Tier II (13/09/2019) 
 (a) 850  (b) 816 
 (c) 1020  (d) 952 
 Q.38.  If  A  is  28%  more  than  B  and  C  is 
 25%  less  than  the  sum  of  A  and  B,  then 
 by what percent will C be more than A 
 (correct to one decimal place)? 
 SSC CGL Tier II (11/09/2019) 
 (a) 32.2%  (b) 28%   (c) 43%  (d) 33.6% 
 Q.39.  When  the  price  of  an  item  was 
 reduced  by  25%,  then  its  sale  was 
 increased  by  x%.  If  there  is  an  increase  of 
 20%  in  the  receipt  of  the  revenue,  then 
 the value of x will be : 
 SSC CGL Tier II (11/09/2019) 
 (a) 50%  (b) 60%     (c) 45%   (d) 75% 
 Q.40.  With  reference  to  a  number  greater 
 than  one,  the  difference  between  itself 
 and  its  reciprocal  is  25%  of  the  sum  of 
 itself  and  its  reciprocal.  By  how  much 
 percentage  (correct  one  decimal  place) 
 is  the  fourth  power  of  the  number  greater 
 than its square? 
 SSC CHSL 11/07/2019 (Morning) 
 (a) 57.8     (b) 62.5  (c) 64.5 (d) 66.7 
 Q.41.  For  an  examination  of  a  practical 
 based  subject,  the  total  marks  is  100. 
 The  break-up  for  theory,  practical,  project 
 and  viva  voce  is  40%,  30%,  20%,  10%.  A 
 candidate  scored  80%  in  theory,  70%  in 
 practical,  60%  in  project  and  50%  in  viva 
 voce.  What  was  her  aggregate 
 percentage ? 
 SSC CHSL 09/07/2019 (Evening) 
 (a) 70  (b) 72  (c) 68  (d) 67 
 Q.42.  Two  students,  A  and  B,  appeared 
 for  an  examination.  A  secured  8  marks 
 more  than  B  and  the  marks  of  the  former 
 was  55%  of  the  sum  of  their  marks.  The 
 marks  obtained  by  A  and  B,  respectively, 
 are : 
 SSC CHSL 05/07/2019 (Evening) 
 (a) 44, 36  (b) 36, 28  (c) 38, 30  (d) 40, 32 
 Q.43.  Sudha  decided  to  donate  12%  of 
 her  monthly  income  to  an  orphanage.  On 
 the  day  of  donation,  she  changed  her 
 decision  and  donated  a  sum  of  Rs.  4800 
 which  was  equal  to  80%  of  what  she  had 
 decided  earlier.  What  is  27%  of  her 
 monthly income ? 
 SSC CHSL 04/07/2019 (Morning) 
 (a) Rs. 13959  (b) Rs. 11934 
 (c) Rs. 14040  (d) Rs. 13500 
 Q.44.  If  decreasing  120  by  x%  gives  the 
 same  result  as  increasing  40  by  x%  then 
 x%  of  210  is  what  percent  less  than  (x  + 
 20)% of 180? 
 SSC CGL 04/06/2019 (Morning) 
 (a) 33  (b)18     (c)16  (d) 20 
 1 
 3 
 2 
 3 
 Q.45.  The  price  of  an  article  increases  by 
 20%  every  year.  If  the  difference  between 
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 Pinnacle  Day: 66th - 70th  Percentage 
 the  prices  at  the  end  of  the  third  and 
 fourth  years  is  Rs.  259.20,  then  40%  of 
 the price (In Rs.) at the end of the second 
 year is : 
 SSC CHSL 03/06/2019 (Evening) 
 (a) 484  (b) 432   (c) 384  (d) 472 
 Q.46.  In  an  examination,  Shreya  scored 
 84  out  of  90  in  Mathematics,  45  out  of  50 
 in  Science,  23  out  of  25  in  Computer 
 Science  and  68  out  of  80  in  English.  In 
 which  subject  did  Shreya  score  the 
 highest percentage? 
 SSC CPO 16/03/2019 (Afternoon) 
 (a) Mathematics   (b) English 
 (c) Science            (d) Computer Science 
 Q.47.  The  price  of  petrol  was  raised  by 
 15%.  By  how  much  percentage  should  a 
 motorist  reduce  the  consumption  of 
 petrol  so  that  the  expenditure  on  it  does 
 not increase? 
 SSC CPO 15 /03/2019 (Morning) 
 (a) 9  %  (b) 15  % 
 2 
 11 
 3 
 13 
 (c) 13  %  (d) 6  % 
 1 
 23 
 7 
 8 
 Q.48.  A  marketing  agent  earns  a 
 commission  of  2%  on  ?rst  Rs.  2,00,000, 
 1.5%  on  next  Rs  2,00,000  and  1%  on  the 
 remaining  amount  of  sales  made  in  a 
 month.  If  the  sales  achieved  by  the  agent 
 for  the  month  of  April  2018  are  Rs. 
 5,68,000. The commission earned is 
 SSC CPO 15/03/2019 (Morning) 
 (a) Rs.8680  (b) Rs.7730 
 (c) Rs.8240               (d) Rs.7105 
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.49.  The  population  of  the  city  was 
 1,75,000  two  years  ago.  If  it  had 
 increased  by  4%  and  5%  in  the  last  two 
 years,  ?nd  the  present  population  of  the 
 city. 
 SSC CHSL Tier II  (02/11/2023) 
 (a) 1,89,200  (b) 1,92,100 
 (c) 1,93,200  (d) 1,91,100 
 Q.50.  A  number  is  increased  by  25%  and 
 then  decreased  by  16%,  the  ?nal  value  of 
 the number: 
 SSC CHSL Tier II  (02/11/2023) 
 (a) decreases by 13% 
 (b) increases by 5% 
 (c) does not change 
 (d) decreases by 5% 
 Q.51.  A  dishonest  shopkeeper  sells  rice 
 at  a  cost  price  but  makes  a  25%  pro?t  by 
 using  faulty  weights.  He  decides  to  give 
 a  discount  to  attract  more  customers. 
 What  percent  of  discount  should  he  offer 
 to make 10% pro?t ? 
 SSC CHSL Tier II  (02/11/2023) 
 (a) 11%  (b) 12%  (c) 10%  (d) 9% 
 Q.52.  In  an  election,  a  candidate  who 
 gets  90%  votes  is  elected  by  a  margin  of 
 800  votes.  What  is  the  total  number  of 
 votes polled? 
 Note:  There  are  only  two  candidates 
 contesting  the  election  and  assume  all 
 the votes were valid. 
 SSC CHSL Tier II  (10/01/2024) 
 (a) 1050   (b) 950   (c) 1000   (d) 900 
 SSC CPO 2023 Tier - 1 
 Q.53.  A  man  spends  72%  of  his  salary 
 and  saves  ?5,740  per  month.  What  is 
 10% of his annual salary (in ?)? 
 SSC CPO 03/10/2023 (1st Shift) 
 (a) ?21600  (b) ?24600 
 (c) ?28400  (d) ?20500 
 Q.54.  In  an  election  between  two 
 candidates,  80%  of  the  voters  cast  their 
 votes,  out  of  which  5%  votes  were 
 declared  invalid.  A  candidate  got  9500 
 votes  which  were  80%  of  the  valid  votes. 
 Find  the  total  number  of  voters  enrolled 
 in that election. 
 SSC CPO 04/10/2023 (1st Shift) 
 (a) 14780  (b) 15625 
 (c) 16100  (d) 15100 
 Q.55.  The fraction equivalent to  % is: 
 1 
 5 
 SSC CPO 04/10/2023 (1st Shift) 
 (a)  (b)  (c)  (d) 
 1 
 125 
 1 
 500 
 1 
 200 
 1 
 40 
 Q.56.  In  an  election  between  two 
 candidates,  30%  of  the  electorate  did  not 
 cast  their  votes.  20%  of  the  votes  polled 
 were  found  invalid.  The  winning 
 candidate  got  64%  of  the  valid  votes  and 
 won  by  a  majority  of  3136  votes.  Find  the 
 number  of  voters  enrolled  in  the  voter 
 list. 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 24000 (b) 20000 (c) 25000 (d) 30000 
 Q.57.  In  an  election  between  two 
 candidates,  the  difference  between  the 
 candidates  who  won  and  lost  was  2,500 
 votes.  The  candidate  who  won  got  75% 
 of  the  votes,  and  there  were  no  invalid 
 votes.  The  total  number  of  votes  polled 
 of the losing candidate was: 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 1875  (b) 1250  (c) 5000   (d) 3750 
 Q.58.  In  an  election  between  two 
 candidates,  20%  of  the  voters  on  the 
 voters  list  did  not  cast  their  votes  and  80 
 voters  cast  their  ballot  papers  blank.  The 
 winner  secured  45%  of  all  the  voters  in 
 the  list  and  he  got  280  votes  more  than 
 his  rival.  The  number  of  voters  on  the  list 
 was: 
 SSC CPO 05/10/2023 (1st Shift) 
 (a) 2000  (b) 2800  (c) 2500  (d) 1500 
 Q.59.  A  family  earns  ?75,000,  out  of 
 which  10%  is  saved.  30%  of  the 
 expenditure  is  incurred  on  education, 
 while  ?30,375  is  spent  on  health  and  the 
 remaining  amount  is  spent  on  food.  What 
 is  the  percentage  of  food  expenditure  to 
 the total income? 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 20%  (b) 21.5%  (c) 22.5%  (d) 32.5% 
 Q.60.  Three  candidates  contested  an 
 election  and  won  1136,  7636  and  11628 
 votes,  respectively.  What  percentage  of 
 the  total  votes  did  the  winning  candidate 
 get ? 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 57  (b) 45  (c) 33  (d) 49 
 SSC MTS 2023 Tier -1 
 Q.61.  If  the  ?rst  number  is  20%  less  than 
 the  third  number  and  the  ratio  of  the 
 second  to  the  third  number  is  7  :  10,  then 
 the  average  of  the  ?rst  and  the  third 
 number  is  how  much  percent  more  than 
 the second number ? 
 SSC MTS 01/09/2023 (1st Shift) 
 (a)  (b)  (c)  (d)  26    
 4 
 7 
 28    
 2 
 7 
 28    
 4 
 7 
 24 
 2 
 7 
 Q.62.  A  contractor  reduces  the  working 
 time  of  a  week  (Monday  to  Saturday) 
 from  48  hours  to  36  hours  for  his 
 workers  without  changing  the  payment. 
 What  is  the  percentage  increase  in  the 
 hourly rate? 
 SSC MTS 05/09/2023 (3rd Shift) 
 (a) 30  %  (b) 33  % 
 1 
 3 
 1 
 3 
 (c) 67  %  (d) 70  % 
 2 
 3 
 2 
 3 
 Q.63.  If  due  to  a  12%  decrease  in  the 
 price  of  sugar,  Akshat  can  buy  7  kg  more 
 sugar  for  ?1,200,  then  ?nd  the  actual 
 price  (in  ?)  of  sugar.  (Rounded  off  to  2 
 decimal places) 
 SSC MTS 12/09/2023 (2nd Shift) 
 (a) 23.38  (b) 28.25  (c) 25.79  (d) 26.35 
 Q.64.  A family spends 20% of its monthly 
 income  on  house  rent.  Out  of  the 
 remaining  amount,  the  family  spends 
 50%  on  household  expenditure  and  20% 
 on  children's  education.  If  after  doing  so, 
 its monthly saving is ?6,600, then what is 
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Page 5


 Pinnacle  Day: 66th - 70th  Percentage 
 Percentage 
 Key Points :- 
 What does a percentage, say 20% mean? 
 20%  simply  means  of  something. 
 20 
 100 
 Also, you can see  =  = 
 20 
 100 
 1 
 5 
 0 . 2 
 i.e.  0.2  of  something  is  the  same  as  20% 
 of that thing. 
 ?  Percentage change 
 =  100 
 ??????     ??????????    -    ????????????????     ?????????? 
 ????????????????     ?????????? 
×
 ?  Percentage  point  change  means 
 difference  between  two  percentage 
 rates.  For  instance,  50%  -  30%  =  20%, 
 so  here  the  percentage  point  change 
 is 20. 
 ?  If  the  price  of  a  product  increases  by 
 %,  then  to  keep  expenditure  same,  ?? 
 percentage  reduction  in 
 consumption required 
 = (  100)% 
 ?? 
 100    +    ?? 
×
 ?  If  the  price  of  a  product  decreases 
 by  %,  then  to  keep  expenditure  ?? 
 same,  percentage  increase  in 
 consumption required 
 = (  100)% 
 ?? 
 100    -    ?? 
×
 ?  If  A  is  R%  more  than  B,  then  B  is  less 
 than A by =  (  100)% 
 ?? 
 100    +    ?? 
×
 ?  If  A  is  R%  less  than  B,  then  B  is  more 
 than A by = (  100)% 
 ?? 
 100    -    ?? 
×
 ?  If  the  number  is  ?rst  increased  by  x% 
 and  then  decreased  by  x%,  then  the 
 net  result  is  always  decrease  and  it 
 is  equal  to  =  %.  Same  result (
 ?? 
 2 
 100 
)
 will  be  obtained  in  the  vice-versa 
 case. 
 Successive percentage change : 
 1.  Two  successive  percentage 
 change  :  If  the  number  is  ?rst 
 increased  by  a%  and  then 
 increased by b% then, 
 Effective percentage change 
 = (a + b +  )% 
 ???? 
 100 
 Similarly,  if  the  number  is  ?rst 
 increased  by  a%  and  then 
 decreased by b%, then 
 Effective percentage change 
 = (a - b -  )% 
 ???? 
 100 
 2.  Three  successive  percentage 
 change  :  If  the  number  is  ?rst 
 increased by a% then by b% and 
 then by c%, then 
 Effective percentage change = 
 (a + b + c +  +  )% 
 ????    +    ????    +    ???? 
 100 
 ?????? 
 10000 
 Important  Fractions  and  their  equivalent 
 Percentage 
 1)  =  2)  = 33  % = 33.33% 
 1 
 2 
 50% 
 1 
 3 
 1 
 3 
 3)  =  4)  = 
 1 
 4 
 25% 
 1 
 5 
 20% 
 5)  =  16.67%  6)  =  14  %  =  14.28% 
 1 
 6 
 1 
 7 
 2 
 7 
 7)  = 12.5%  8)  = 11  % =  11.11% 
 1 
 8 
 1 
 9 
 1 
 9 
 9)  = 10%  10)  = 9  %  = 9.09% 
 1 
 10 
 1 
 11 
 1 
 11 
 11)  = 8  %  12)  = 7.69% 
 1 
 12 
 1 
 3 
 1 
 13 
 13)  = 7.14%  14)  = 6.67% 
 1 
 14 
 1 
 15 
 15)  = 6.25%  16)  =  83  % 
 1 
 16 
 5 
 6 
 1 
 3 
 17)  = 37.5%  18)  = 62.5% 
 3 
 8 
 5 
 8 
 19)  = 87.5%  20)  = 27.27% 
 7 
 8 
 3 
 11 
 21)  = 66  % =  % 
 2 
 3 
 2 
 3 
 200 
 3 
 22)  =  2  = 233  % 
 7 
 3 
 1 
 3 
 1 
 3 
 23)  =  1  = 112.5% 
 9 
 8 
 1 
 8 
 24)  =  28.56% 
 2 
 7 
 These  fractions  are  very  common  and  it 
 will be very helpful to learn them. 
 Variety Questions 
 Q.1.  In  an  election  between  two 
 candidates,  64%  of  the  voters  cast  their 
 votes,  out  of  which  4%  of  the  votes  were 
 declared  invalid.  A  candidate  got  12,288 
 votes  which  were  64%  of  the  total  valid 
 votes.  Find  the  total  number  of  votes 
 enrolled in that election. 
 SSC CHSL Tier II  (02/11/2023) 
 (a) 30,250  (b) 32,152 
 (c) 31,250  (d) 20,152 
 Q.2.  Ayush  spends  25%  of  an  amount  of 
 money  on  an  insurance  policy,  26%  on 
 food,  23%  on  children’s  education  and 
 19%  on  recreation.  He  deposits  the 
 remaining  amount  of  ?26,600  in  the 
 bank.  What  is  the  total  amount  (in  ?)  that 
 he  spends  on  food  and  recreation 
 together? 
 SSC CPO 05/10/2023 (3rd Shift) 
 (a) 1,95,000  (b) 1,83,000 
 (c) 1,62,000  (d) 1,71,000 
 Q.3.  The  monthly  income  of  an  employee 
 was  ?26,500  and  his  monthly 
 expenditure  was  ?22,000.  Next  year  his 
 income  increased  by  20%  and  his 
 expenditure  increased  by  15%.  Find  the 
 percentage increase in his savings. 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 44  %  (b) 44  % 
 4 
 9 
 7 
 9 
 (c) 44  %  (d) 44  % 
 5 
 9 
 8 
 9 
 Q.4.  The  cost  price  of  pulses  is  12%  less 
 than  the  selling  price.  Using  a  faulty 
 weighing  machine,  shopkeeper  is  able  to 
 earn  25%  pro?t.  How  much  percent  of 
 the  faulty  machine  shows  more  weight 
 as  compared  to  the  actual  weight 
 (Rounded off to the nearest integer)? 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 10%  (b) 14%  (c) 13%  (d) 15% 
 Q.5.  Swastik  saves  20%  of  his  income 
 while  spends  the  remaining  amount  on 
 food,  rent,  education  and  shopping.  15% 
 of  the  income  is  spent  on  food,  while 
 ?12,800  is  spent  on  rent,  ?32,000  on 
 education  and  ?7,200  on  shopping.  The 
 amount  spent  on  shopping  is  11.25%  of 
 the  total  expenditure.  How  much  money 
 (in ?) is spent on food? 
 SSC CPO 03/10/2023 (2nd  Shift) 
 (a) 9600  (b) 12000  (c) 15000  (d) 10800 
 Q.6.  A  number  is  ?rst  increased  by  16% 
 and  then  increased  by  20%.  The  number 
 so  obtained  is  now  decreased  by  40%. 
 The  net  decrease  percentage  in  the 
 original number is: 
 SSC CHSL 14/08/2023 (4th Shift) 
 (a) 16  %  (b) 15  % 
 12 
 25 
 9 
 25 
 (c) 11  %  (d) 13  % 
 13 
 25 
 7 
 25 
 Q.7.  Two  candidates  A  and  B  contested 
 in  an  election.  80%  of  the  voters  cast 
 their  votes,  out  of  which  2%  of  the  votes 
 were  invalid.  A  got  9,408  votes  which 
 was  60%  of  the  valid  votes.  Find  the  total 
 number of votes. 
 SSC CHSL 10/08/2023 (4th Shift) 
 (a) 12,000  (b) 22,000 
 (c) 20,000  (d) 21,000 
 Q.8.  A  number  ?rst  increased  by  8%  and 
 then  decreased  by  3%  to  get  2619.  What 
 is 5% of that number ? 
 SSC CHSL 10/08/2023 (3rd Shift) 
 (a) 125   (b) 135   (c) 130   (d) 140 
 Q.9.  A  spends  68%  of  his  monthly 
 income.  If  A's  monthly  income  increases 
 by  25%  and  his  monthly  saving  increases 
 by  15%,  then  the  percentage  increase  in 
 his monthly expenditure will be: 
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 Pinnacle  Day: 66th - 70th  Percentage 
 SSC CHSL 09/08/2023 (1st Shift) 
 (a) 27  %  (b)  29  % 
 13 
 17 
 12 
 17 
 (c) 33  %  (d) 31  % 
 7 
 17 
 6 
 17 
 Q.10.  Harsha's  expenditure  is  45%  of  her 
 income.  If  the  income  from  the  next 
 month  is  increased  by  15%  and  the 
 amount  she  saved  each  month  remains 
 the  same,  then  ?nd  the  percentage 
 increase  in  her  expenditure  (rounded  off 
 to 2 decimal places). 
 SSC CHSL 07/08/2023 (4th Shift) 
 (a) 33.33%  (b) 15.00% 
 (c) 45.00%  (d) 27.50% 
 Q.11.  The  price  of  an  article  is  increased 
 by  r%.  The  new  price  was  decreased  by 
 r%  later.  Now  the  latest  price  is 
 Rs.1.What  was  the  original  price  of  the 
 article? 
 SSC CGL 20/07/2023 (3rd shift) 
 (a)  (b) 
 10000 
 10000    -    ?? 
 2 
 10000    -       ?? 
 2 
   
 10000 
 (c)  (d) 
 100 
 100    -    ?? 
 2 
 100 
 1    -    ?? 
 2 
 Q.12.  Aditya  buys  300  mangoes  for 
 Rs.1,100.  Some  of  these  mangoes  are 
 rotten  and  are  thrown  away.  He  sells  the 
 remaining  mangoes  at  Rs.5  each  and 
 makes  a  pro?t  of  Rs.150.  Find  the 
 percentage of mangoes thrown away. 
 SSC CGL 19/07/2023 (4th shift) 
 (a) 16  (b) 
 1 
 2 
 %  15 
 2 
 3 
 % 
 (c) 16  (d) 16 
 2 
 3 
 % 
 1 
 3 
 % 
 Q.13.  In  an  election,  15%  of  the  voters  on 
 the  voters  list  did  not  cast  their  votes  and 
 100  voters  cast  their  ballot  paper  blank. 
 There  were  only  two  candidates  Ram  and 
 Shyam.  The  winner,  Ram,  was  supported 
 by  69%  of  all  the  voters  in  the  list  and  he 
 got  630  votes  more  than  Shyam.  Find  the 
 number of voters on the list. 
 Matriculation Level 30/06/2023 (Shift - 3) 
 (a) 1200  (b) 1000  (c) 1100  (d) 1300 
 Q.14.  If  the  price  of  rice  is  increased  by 
 25  percent,  then  by  what  percentage 
 consumption  of  rice  should  be 
 decreased  so  that  the  expenditure 
 incurred  on  rice  gets  decreased  by  40 
 percent? 
 SSC CHSL 21/03/2023 (4th Shift) 
 (a) 52 %  (b) 43.33 (c) 42 %  (d) 48 % 
 Q.15.  Shiva’s  monthly  salary  is 
 Rs.75,000.  He  spends  Rs.12,000  on 
 household  items,  Rs.14,000  on  LIC  and 
 mutual  funds,  Rs.15,000  on  his  children’s 
 education,  and  keeps  Rs.10,000  for 
 miscellaneous  expenses.  His  savings  are 
 Rs.21,000  per  month  and  he  donates  the 
 rest  of  the  amount  to  an  orphanage.  The 
 percentage  of  his  income  that  he 
 donates is: 
 SSC CGL 13/12/2022 (3rd Shift) 
 (a) 3%  (b) 6%  (c) 8%  (d) 4% 
 Q.16.  The  expenditure  on  the  cost  of 
 living  of  a  man  and  his  family  is  60%  of 
 his  salary.  He  gets  two  increments  of 
 30%  and  60%  in  his  salary.  If  his  saving 
 increases  by  250%  of  his  initial  saving, 
 then  the  new  cost  of  living  expenditure  is 
 what  percentage  (rounded  off  to  the 
 nearest integer) of the increased salary? 
 SSC CGL 12/12/2022 (4th Shift) 
 (a) 32.7 Percent  (b) 43.6 Percent 
 (c) 29.5 Percent  (d) 36.6 Percent 
 Q.17.  A  mask  manufacturing  company 
 manufactured  ‘X’  number  of  masks  in 
 2018.  It  increased  its  manufacturing 
 capacity  by  30%  in  2019  and  further 
 increased  its  manufacturing  by  15%  in 
 2020.  In  2021,  due  to  the  machinery 
 breakdown,  its  manufacturing  declined 
 by  40%.  What  is  the  value  of  ‘X’  if  it 
 manufactured 179400 masks in 2021? 
 SSC CGL 07/12/2022 (1st Shift) 
 (a) 180000  (b) 230000 
 (c) 200000  (d) 210000 
 Q.18.  The  population  of  country  A 
 decreased  by  p%  and  the  population  of 
 country  B  decreased  by  q%  from  the 
 year  2020  to  2021.  Here  'p'  is  greater 
 than  'q'.  Let  'x'  be  the  ratio  of  the 
 population  of  country  A  to  the  population 
 of  country  B  in  the  given  year.  What  is  the 
 percentage  decrease  in  'x'  from  2020  to 
 2021? 
 SSC CGL 06/12/2022 (2nd Shift) 
 (a)  (b) 
 100 ( ??    -    ?? )
( 100    -    ?? )
 100 ( ??    -    ?? )
 100    +    ?? 
 (c)  (d) 
 100 ( ??    -    ?? )
 100    -    ?? 
 100 ( ??    -    ?? )
 100    
 Q.19.  In  an  election  between  two 
 candidates,  the  defeated  candidate 
 secured  42%  of  the  valid  votes  polled  and 
 lost  the  election  by  7,68,400  votes.  If 
 82,560  votes  were  declared  invalid  and 
 20%  people  did  NOT  cast  their  vote,  then 
 the  invalid  votes  were  what  percentage 
 (rounded  off  to  1  decimal  place)  of  the 
 votes which people did NOT cast ? 
 SSC CGL 02/12/2022 (2nd Shift) 
 (a) 10.6 Percent  (b) 9.8 Percent 
 (c) 12.9 Percent  (d) 6.8 Percent 
 Q.20.  Sonam  is  a  cab  driver,  who  plies 
 within  a  city.  The  number  of  kilometres 
 that  she  drives  on  a  Tuesday  was  12.5% 
 less  than  the  number  of  kilometres  that 
 she  drives  on  the  day  before.On  the  other 
 hand,  the  number  of  kilometres  that  she 
 drives  on  Wednesday  was  20%  more 
 than  the  number  of  kilometres  that  she 
 drives  on  Tuesday.  If  Sonam  drives  a 
 total  of  336  km  on  Wednesday,  how 
 many  kilometers  did  she  drive  on 
 Monday ? 
 SSC CHSL 02/06/2022 (Morning) 
 (a) 315  (b) 318  (c) 320  (d) 324 
 Q.21.  In  an  election,  there  were  three 
 candidates:  A,  B  and  C.  10%  of  the 
 eligible  voters  did  not  vote.  Out  of  those 
 who  voted,  45%  voted  for  A,  35%  voted 
 for  B  and  the  remaining  20%  voted  for  C. 
 30%  of  the  votes  polled  for  A  and  20%  of 
 the  votes  polled  for  B  were  later  deemed 
 invalid,  while  all  the  votes  polled  for  C 
 were  deemed  valid.  If  A  got  882  more 
 valid  votes  than  B  did,  how  many  valid 
 votes did C receive? 
 SSC CHSL 27/05/2022 ( Afternoon ) 
 (a) 5020  (b) 5040   (c) 5050   (d) 5060 
 Q.22.  A  fruit  seller  sells  45%  of  the 
 oranges  that  he  has  along  with  one  more 
 oranges  to  a  customer  .  He  then  sells 
 20%  of  the  remaining  oranges  and  2 
 more  oranges  to  a  second  customer.  He 
 then  sells  90%  of  the  now  remaining 
 oranges  to  a  third  customer  and  is  still 
 left  with  5  oranges.  How  many  oranges 
 did the fruit seller have initially? 
 SSC CGL 19/04/2022 (Evening) 
 (a) 100  (b) 111  (c) 121  (d) 120 
 Q.23.  By  mistake,  the  reciprocal  of  a 
 positive  fraction  got  typed  in  place  of 
 itself,  and  thereby  its  value  got  reduced 
 by  %.  What  was  the  value  of  the 
 175 
 4 
 fraction? 
 SSC CGL 24/08/2021 (Evening) 
 (a)  (b)  (c)  (d) 
 1 
 2 
 4 
 3 
 3 
 4 
 1 
 4 
 Q.24.  The  income  of  A  is  20%  less  than 
 the  income  of  B  and  the  income  of  C  is 
 70%  of  the  sum  of  incomes  of  A  and  B. 
 The  income  of  D  is  25%  more  than  the 
 income  of  C.  If  the  difference  between 
 the  incomes  of  B  and  D  is  Rs  23000,  then 
 what is the income (in Rs) of A? 
 SSC CGL 18/08/2021 (Afternoon) 
 (a) 32000 (b) 25000 (c) 26000 (d) 28000 
 Q.25.  A  certain  number  of  students  from 
 school  X  appeared  in  an  examination  and 
 20%  students  failed.  From  school  Y, 
 130%  more  students  than  that  from 
 school  X,  appeared  in  the  same 
 examination.  If  90%  of  the  total  number 
 of  students  appeared  from  both  the 
 schools  passed,  then  what  is  the 
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 Pinnacle  Day: 66th - 70th  Percentage 
 percentage  of  students  from  school  Y 
 who  failed  (correct  to  one  decimal 
 place)? 
 SSC CGL 17/08/2021 (Morning) 
 (a) 8.3%  (b) 10%  (c) 6.4%  (d) 5.7% 
 Q.26.  In  a  workshop  with  80  students 
 and  10  resource  persons,  sweets  were 
 distributed  at  the  end  of  the  workshop. 
 The  amount  spent  for  distributing  sweets 
 to  each  student  was  30%  of  the  total 
 number  of  students  and  the  amount 
 spent  towards  each  resource  person  was 
 40%  of  the  total  number  of  students.  The 
 total  amount  spent  for  sweets 
 distribution in the workshop was: 
 SSC CHSL 10/08/2021 (Afternoon) 
 (a) Rs. 2400  (b) Rs. 2440 
 (c) Rs. 2420  (d) Rs. 2240 
 Q.27.  In  a  constituency,  55%  of  the  total 
 number  of  voters  are  males  and  the  rest 
 are  females.  If  40%  of  the  males  are 
 illiterate  and  40%  of  the  females  are 
 literate,  then  by  what  percentage  is  the 
 number  of  illiterate  females  more  than 
 that  if  the  illiterate  males(correct  to  the 
 one decimal place) 
 SSC CHSL 04/08/2021 (Evening) 
 (a) 22.7%  (b) 16.4%  (c) 21.5%  (d) 20.8% 
 Q.28.  A  reduction  of  20%  in  the  price  of 
 sugar  enables  a  purchaser  to  obtain  4  kg 
 more  for  Rs.160.  The  original  price  of 
 sugar per kg is: 
 SSC CHSL 20/10/2020 (Morning) 
 (a) 12  (b) 10       (c) 14      (d) 15 
 Q.29.  A  student  multiplied  a  number  with 
 instead  of  .  What  is  the  error 
 3 
 4 
 4 
 3 
 percentage? 
 SSC CHSL 15/10/2020  (Afternoon) 
 (a) 59.67%  (b) 43.75% 
 (c) 67.45%  (d) 39.34% 
 Q.30  .  A  crate  of  fruits  contains  one 
 spoiled  fruit  for  every  25  fruits.  60%  of 
 the  spoiled  fruits  were  sold.  If  the  seller 
 had  sold  48  spoiled  fruits,  then  the 
 number of fruits in the crate were: 
 SSC CHSL 14/10/2020  (Afternoon) 
 (a) 2000   (b) 2400   (c) 3000   (d) 1200 
 Q.31.  If  each  edge  of  a  cube  is  increased 
 by  10%,  then  the  percentage  increase  in 
 its surface area is: 
 SSC CHSL 13/10/2020  (Afternoon) 
 (a) 21%   (b) 19%   (c) 22%   (d) 20% 
 Q.32.  In  a  school,  4%  of  the  students  did 
 not  appear  for  the  annual  exams.  10%  of 
 the  students  who  appeared  for  the 
 exams  could  not  pass  the  exam.  Out  of 
 the  remaining  students,  50%  got 
 distinction  marks  and  432  students 
 passed  the  exam  but  could  not  get 
 distinction  marks.  The  total  number  of 
 students in the school is: 
 SSC CGL 06/03/2020 (Afternoon) 
 (a) 960  (b) 1000    (c) 878  (d) 1200 
 Q.33.  A,  B  and  C  donate  8%,7%  and  9%, 
 of  their  salaries  respectively  to  a 
 charitable  trust.  The  salaries  of  A  and  B 
 are  the  same  and  the  difference  between 
 their  donations  is  ?259.  The  total 
 donation  of  A  and  B  is  ?1,185  more  than 
 that  of  C.  The  total  donation  of  A  and  C  is 
 what  percentage  of  the  total  salaries  of 
 A,  B  and  C?  (Correct  to  one  decimal 
 place) 
 SSC CGL 04/03/2020 (Evening) 
 (a) 6.2 %    (b) 5.8 %  (c) 6.4 %   (d) 7.1% 
 Q.34.  The  income  of  A  is  60%  less  than 
 that  of  B,  and  the  expenditure  of  A  is 
 equal  to  60%  of  B’s  expenditure.  If  A’s 
 income  is  equal  to  70%  of  B’s 
 expenditure,  then  what  is  the  ratio  of  the 
 savings of A and B? 
 SSC CGL 04/03/2020 (Afternoon) 
 (a) 3 : 8    (b) 5 : 9        (c) 4 : 7    (d) 2 : 15 
 Q.35.  The  population  of  town  B  is  300% 
 more  than  that  of  town  A.  For  the  next 
 two  years,  the  population  of  A  increases 
 by  x%  per  year  and  that  of  B  decreases 
 by  the  same  percentage  per  year.  After  2 
 years,  if  the  population  of  A  and  B 
 become equal, then the value of x is ____. 
 SSC CPO 13/12/2019(Evening) 
 (a) 30  (b) 40    (c) 25      (d) 33 
 2 
 3 
 1 
 3 
 Q.36.  The  monthly  salary  of  a  person 
 was  Rs.50,000.  He  used  to  spend  on 
 three  heads-  personal  and  family 
 expenses  (E),  taxes(T),  philanthropy  (P), 
 and  the  rest  were  his  savings.  E  was  50% 
 of  the  income,  T  was  20%of  E  and  P  was 
 15%  of  T.  When  his  salary  got  raised  by 
 40%,  he  maintained  the  average  level  of 
 E,  but  T  became  30%  of  E  and  P  became 
 20%  of  T.  By  what  percentage  is  the  new 
 savings  more  or  less  than  the  earlier 
 savings?(correct upto one decimal place) 
 SSC CPO 09/12/2019 (Morning) 
 (a) 16.4% more  (b) 8.2% more 
 (c) 16.4% less       (d) 8.2% less 
 Q.37.  In  an  examination,  A  obtained  10% 
 more  marks  than  B,  B  obtained  20%  more 
 marks  than  C  and  C  obtained  32%  less 
 marks  that  D.  If  A  obtained  272  more 
 marks  than  C,  then  the  marks  obtained 
 by B is : 
 SSC CGL Tier II (13/09/2019) 
 (a) 850  (b) 816 
 (c) 1020  (d) 952 
 Q.38.  If  A  is  28%  more  than  B  and  C  is 
 25%  less  than  the  sum  of  A  and  B,  then 
 by what percent will C be more than A 
 (correct to one decimal place)? 
 SSC CGL Tier II (11/09/2019) 
 (a) 32.2%  (b) 28%   (c) 43%  (d) 33.6% 
 Q.39.  When  the  price  of  an  item  was 
 reduced  by  25%,  then  its  sale  was 
 increased  by  x%.  If  there  is  an  increase  of 
 20%  in  the  receipt  of  the  revenue,  then 
 the value of x will be : 
 SSC CGL Tier II (11/09/2019) 
 (a) 50%  (b) 60%     (c) 45%   (d) 75% 
 Q.40.  With  reference  to  a  number  greater 
 than  one,  the  difference  between  itself 
 and  its  reciprocal  is  25%  of  the  sum  of 
 itself  and  its  reciprocal.  By  how  much 
 percentage  (correct  one  decimal  place) 
 is  the  fourth  power  of  the  number  greater 
 than its square? 
 SSC CHSL 11/07/2019 (Morning) 
 (a) 57.8     (b) 62.5  (c) 64.5 (d) 66.7 
 Q.41.  For  an  examination  of  a  practical 
 based  subject,  the  total  marks  is  100. 
 The  break-up  for  theory,  practical,  project 
 and  viva  voce  is  40%,  30%,  20%,  10%.  A 
 candidate  scored  80%  in  theory,  70%  in 
 practical,  60%  in  project  and  50%  in  viva 
 voce.  What  was  her  aggregate 
 percentage ? 
 SSC CHSL 09/07/2019 (Evening) 
 (a) 70  (b) 72  (c) 68  (d) 67 
 Q.42.  Two  students,  A  and  B,  appeared 
 for  an  examination.  A  secured  8  marks 
 more  than  B  and  the  marks  of  the  former 
 was  55%  of  the  sum  of  their  marks.  The 
 marks  obtained  by  A  and  B,  respectively, 
 are : 
 SSC CHSL 05/07/2019 (Evening) 
 (a) 44, 36  (b) 36, 28  (c) 38, 30  (d) 40, 32 
 Q.43.  Sudha  decided  to  donate  12%  of 
 her  monthly  income  to  an  orphanage.  On 
 the  day  of  donation,  she  changed  her 
 decision  and  donated  a  sum  of  Rs.  4800 
 which  was  equal  to  80%  of  what  she  had 
 decided  earlier.  What  is  27%  of  her 
 monthly income ? 
 SSC CHSL 04/07/2019 (Morning) 
 (a) Rs. 13959  (b) Rs. 11934 
 (c) Rs. 14040  (d) Rs. 13500 
 Q.44.  If  decreasing  120  by  x%  gives  the 
 same  result  as  increasing  40  by  x%  then 
 x%  of  210  is  what  percent  less  than  (x  + 
 20)% of 180? 
 SSC CGL 04/06/2019 (Morning) 
 (a) 33  (b)18     (c)16  (d) 20 
 1 
 3 
 2 
 3 
 Q.45.  The  price  of  an  article  increases  by 
 20%  every  year.  If  the  difference  between 
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 the  prices  at  the  end  of  the  third  and 
 fourth  years  is  Rs.  259.20,  then  40%  of 
 the price (In Rs.) at the end of the second 
 year is : 
 SSC CHSL 03/06/2019 (Evening) 
 (a) 484  (b) 432   (c) 384  (d) 472 
 Q.46.  In  an  examination,  Shreya  scored 
 84  out  of  90  in  Mathematics,  45  out  of  50 
 in  Science,  23  out  of  25  in  Computer 
 Science  and  68  out  of  80  in  English.  In 
 which  subject  did  Shreya  score  the 
 highest percentage? 
 SSC CPO 16/03/2019 (Afternoon) 
 (a) Mathematics   (b) English 
 (c) Science            (d) Computer Science 
 Q.47.  The  price  of  petrol  was  raised  by 
 15%.  By  how  much  percentage  should  a 
 motorist  reduce  the  consumption  of 
 petrol  so  that  the  expenditure  on  it  does 
 not increase? 
 SSC CPO 15 /03/2019 (Morning) 
 (a) 9  %  (b) 15  % 
 2 
 11 
 3 
 13 
 (c) 13  %  (d) 6  % 
 1 
 23 
 7 
 8 
 Q.48.  A  marketing  agent  earns  a 
 commission  of  2%  on  ?rst  Rs.  2,00,000, 
 1.5%  on  next  Rs  2,00,000  and  1%  on  the 
 remaining  amount  of  sales  made  in  a 
 month.  If  the  sales  achieved  by  the  agent 
 for  the  month  of  April  2018  are  Rs. 
 5,68,000. The commission earned is 
 SSC CPO 15/03/2019 (Morning) 
 (a) Rs.8680  (b) Rs.7730 
 (c) Rs.8240               (d) Rs.7105 
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.49.  The  population  of  the  city  was 
 1,75,000  two  years  ago.  If  it  had 
 increased  by  4%  and  5%  in  the  last  two 
 years,  ?nd  the  present  population  of  the 
 city. 
 SSC CHSL Tier II  (02/11/2023) 
 (a) 1,89,200  (b) 1,92,100 
 (c) 1,93,200  (d) 1,91,100 
 Q.50.  A  number  is  increased  by  25%  and 
 then  decreased  by  16%,  the  ?nal  value  of 
 the number: 
 SSC CHSL Tier II  (02/11/2023) 
 (a) decreases by 13% 
 (b) increases by 5% 
 (c) does not change 
 (d) decreases by 5% 
 Q.51.  A  dishonest  shopkeeper  sells  rice 
 at  a  cost  price  but  makes  a  25%  pro?t  by 
 using  faulty  weights.  He  decides  to  give 
 a  discount  to  attract  more  customers. 
 What  percent  of  discount  should  he  offer 
 to make 10% pro?t ? 
 SSC CHSL Tier II  (02/11/2023) 
 (a) 11%  (b) 12%  (c) 10%  (d) 9% 
 Q.52.  In  an  election,  a  candidate  who 
 gets  90%  votes  is  elected  by  a  margin  of 
 800  votes.  What  is  the  total  number  of 
 votes polled? 
 Note:  There  are  only  two  candidates 
 contesting  the  election  and  assume  all 
 the votes were valid. 
 SSC CHSL Tier II  (10/01/2024) 
 (a) 1050   (b) 950   (c) 1000   (d) 900 
 SSC CPO 2023 Tier - 1 
 Q.53.  A  man  spends  72%  of  his  salary 
 and  saves  ?5,740  per  month.  What  is 
 10% of his annual salary (in ?)? 
 SSC CPO 03/10/2023 (1st Shift) 
 (a) ?21600  (b) ?24600 
 (c) ?28400  (d) ?20500 
 Q.54.  In  an  election  between  two 
 candidates,  80%  of  the  voters  cast  their 
 votes,  out  of  which  5%  votes  were 
 declared  invalid.  A  candidate  got  9500 
 votes  which  were  80%  of  the  valid  votes. 
 Find  the  total  number  of  voters  enrolled 
 in that election. 
 SSC CPO 04/10/2023 (1st Shift) 
 (a) 14780  (b) 15625 
 (c) 16100  (d) 15100 
 Q.55.  The fraction equivalent to  % is: 
 1 
 5 
 SSC CPO 04/10/2023 (1st Shift) 
 (a)  (b)  (c)  (d) 
 1 
 125 
 1 
 500 
 1 
 200 
 1 
 40 
 Q.56.  In  an  election  between  two 
 candidates,  30%  of  the  electorate  did  not 
 cast  their  votes.  20%  of  the  votes  polled 
 were  found  invalid.  The  winning 
 candidate  got  64%  of  the  valid  votes  and 
 won  by  a  majority  of  3136  votes.  Find  the 
 number  of  voters  enrolled  in  the  voter 
 list. 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 24000 (b) 20000 (c) 25000 (d) 30000 
 Q.57.  In  an  election  between  two 
 candidates,  the  difference  between  the 
 candidates  who  won  and  lost  was  2,500 
 votes.  The  candidate  who  won  got  75% 
 of  the  votes,  and  there  were  no  invalid 
 votes.  The  total  number  of  votes  polled 
 of the losing candidate was: 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 1875  (b) 1250  (c) 5000   (d) 3750 
 Q.58.  In  an  election  between  two 
 candidates,  20%  of  the  voters  on  the 
 voters  list  did  not  cast  their  votes  and  80 
 voters  cast  their  ballot  papers  blank.  The 
 winner  secured  45%  of  all  the  voters  in 
 the  list  and  he  got  280  votes  more  than 
 his  rival.  The  number  of  voters  on  the  list 
 was: 
 SSC CPO 05/10/2023 (1st Shift) 
 (a) 2000  (b) 2800  (c) 2500  (d) 1500 
 Q.59.  A  family  earns  ?75,000,  out  of 
 which  10%  is  saved.  30%  of  the 
 expenditure  is  incurred  on  education, 
 while  ?30,375  is  spent  on  health  and  the 
 remaining  amount  is  spent  on  food.  What 
 is  the  percentage  of  food  expenditure  to 
 the total income? 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 20%  (b) 21.5%  (c) 22.5%  (d) 32.5% 
 Q.60.  Three  candidates  contested  an 
 election  and  won  1136,  7636  and  11628 
 votes,  respectively.  What  percentage  of 
 the  total  votes  did  the  winning  candidate 
 get ? 
 SSC CPO 05/10/2023 (2nd Shift) 
 (a) 57  (b) 45  (c) 33  (d) 49 
 SSC MTS 2023 Tier -1 
 Q.61.  If  the  ?rst  number  is  20%  less  than 
 the  third  number  and  the  ratio  of  the 
 second  to  the  third  number  is  7  :  10,  then 
 the  average  of  the  ?rst  and  the  third 
 number  is  how  much  percent  more  than 
 the second number ? 
 SSC MTS 01/09/2023 (1st Shift) 
 (a)  (b)  (c)  (d)  26    
 4 
 7 
 28    
 2 
 7 
 28    
 4 
 7 
 24 
 2 
 7 
 Q.62.  A  contractor  reduces  the  working 
 time  of  a  week  (Monday  to  Saturday) 
 from  48  hours  to  36  hours  for  his 
 workers  without  changing  the  payment. 
 What  is  the  percentage  increase  in  the 
 hourly rate? 
 SSC MTS 05/09/2023 (3rd Shift) 
 (a) 30  %  (b) 33  % 
 1 
 3 
 1 
 3 
 (c) 67  %  (d) 70  % 
 2 
 3 
 2 
 3 
 Q.63.  If  due  to  a  12%  decrease  in  the 
 price  of  sugar,  Akshat  can  buy  7  kg  more 
 sugar  for  ?1,200,  then  ?nd  the  actual 
 price  (in  ?)  of  sugar.  (Rounded  off  to  2 
 decimal places) 
 SSC MTS 12/09/2023 (2nd Shift) 
 (a) 23.38  (b) 28.25  (c) 25.79  (d) 26.35 
 Q.64.  A family spends 20% of its monthly 
 income  on  house  rent.  Out  of  the 
 remaining  amount,  the  family  spends 
 50%  on  household  expenditure  and  20% 
 on  children's  education.  If  after  doing  so, 
 its monthly saving is ?6,600, then what is 
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 Pinnacle  Day: 66th - 70th  Percentage 
 the total monthly income of the family? 
 SSC MTS 13/09/2023 (1st Shift) 
 (a) ?25,000  (b) ?27,500 
 (c) ?30,000  (d) ?28,000 
 Q.65.  Suresh  could  save  20%  of  his 
 income.  But  4  years  later,  when  his 
 income  increased  by  40%,  he  could  save 
 the  same  amount  only  as  before.  By  how 
 much  percentage  did  his  expenditure 
 increase? 
 SSC MTS 14/09/2023 (2nd Shift) 
 (a) 23%  (b) 50%  (c) 22%  (d) 45% 
 SSC CHSL 2023 Tier - 1 
 Q.66.  Bhushan's  monthly  income  is 
 ?45,000  and  his  monthly  expenditure  is 
 ?33,000.  If  his  monthly  income  is 
 increased  by  22%  while  monthly 
 expenditure is increased by 11%, then 
 what is his new monthly savings (in ?) ? 
 SSC CHSL 02/08/2023 (1st Shift) 
 (a) 18,270 (b) 18,690  (c) 18,000 (d) 19,000 
 Q.67  .  If  the  price  of  a  movie  ticket 
 increased  by  %  and  the  sale  of  12 
 1 
 2 
 tickets  also  increased  by  %,  then  ?nd  8 
 1 
 2 
 % change in income. 
 SSC CHSL 02/08/2023 (2nd Shift) 
 (a) 21.875%  (b) 22.6750% 
 (c) 20.675%  (d) 22.0625% 
 Q.68.  Two  years  ago,  the  population  of  a 
 small  town  was  60,000.  It  increased  by 
 5%  in  the  ?rst  year,  but  due  to  the 
 pandemic.  it  decreased  by  10%  in  the 
 second  year.  What  is  its  present 
 population (after the end of 2 years) ? 
 SSC CHSL 02/08/2023 (4th Shift) 
 (a) 56,700  (b) 56,900 
 (c) 3300  (d) 55,700 
 Q.69.  In  a  village  election  between  three 
 candidates,  80%  of  the  voters  cast  their 
 votes,  out  of  which  3%  votes  were 
 declared  invalid.  The  winning  candidate 
 got  42,680  votes  which  were  55%  of  the 
 total  valid  votes.  Find  the  number  of  valid 
 votes  received  by  the  candidate  who 
 stood  third,  given  that  he  received  only 
 10% of the total valid votes. 
 SSC CHSL 03/08/2023 (1st Shift) 
 (a) 7760  (b) 7700  (c) 7670  (d) 7680 
 Q.70.  A  total  of  7,50,000  voters 
 participated  in  an  election.  A  candidate 
 received  3,82,500  votes  which  was  60% 
 of  the  total  valid  votes.  What  was  the 
 percentage  of  invalid  votes  in  the 
 election? 
 SSC CHSL 04/08/2023 (1st Shift) 
 (a) 15%  (b) 20%  (c) 12%  (d) 18% 
 Q.71.  If  the  length  and  breadth  of  a 
 cuboid  are  increased  by  7%  and  6%, 
 respectively,  then  the  percentage 
 increase in its volume is : 
 SSC CHSL 04/08/2023 (1st Shift) 
 (a) 11.20%  (b) 13.42% 
 (c) 18.12%  (d) 15.25% 
 Q.72.  Prakash  spends  27%  of  his  salary 
 on  children's  education  and  donates  4% 
 to  a  trust  in  a  particular  month.  He 
 spends  ?3,038  on  these  two  heads,  then 
 his total salary for that month is: 
 SSC CHSL 04/08/2023 (2nd Shift) 
 (a) ?4,402  (b) ?9,800 
 (c) ?11,251  (d) ?13,200 
 Q.73.  A  candidate  who  gets  20%  of  the 
 marks  in  an  examination  fails  by  30 
 marks.  But  another  candidate  who  gets 
 32%marks,  gets  42  marks  more  than 
 necessary  for  passing.  Find  the 
 maximum number of marks. 
 SSC CHSL 04/08/2023 (3rd Shift) 
 (a) 500   (b) 700   (c) 400   (d) 600 
 Q.74.  A  man  spent  30%  of  his  monthly 
 income  on  rent.  He  spent  15%  of  the 
 remaining  amount  on  food.  35%  of  the 
 amount  now  left  was  used  for  all  other 
 expenses.  If  ?1,62,435  was  left  with  him, 
 then his monthly income was: 
 SSC CHSL 04/08/2023 (4th Shift) 
 (a) ?4,80,000  (b) ?4,20,000 
 (c) ?3,60,000  (d) ?5,40,000 
 Q.75.  If  the  curved  surface  area  of  a 
 cylinder  is  increased  by  20%,  and  height 
 is  decreased  by  4%,  then  the  net 
 decrease  or  increase  in  the  volume  will 
 be: 
 SSC CHSL 08/08/2023 (3rd Shift) 
 (a) 36 % decrease     (b) 20 % increase 
 (c) 50 % increase      (d) 33 % decrease 
 Q.76.  Ravi  initially  had  a  certain  number 
 of  chocolates,  while  Bhanu  initially  had 
 80%  of  the  number  of  chocolates  that 
 Ravi  initially  had.  Ravi  gave  10%  of  his 
 chocolates  to  his  sister  while  Bhanu 
 received  from  his  uncle  another  35%  of 
 the  number  of  chocolates  he  initially  had. 
 If  Bhanu  ?nally  had  54  chocolates,  how 
 many  chocolates  did  Ravi  give  to  his 
 sister? 
 SSC CHSL 09/08/2023 (2nd Shift) 
 (a) 3  (b) 6  (c) 5  (d) 4 
 Q.77.  If  each  side  of  a  cube  is  decreased 
 by  12%,  then  the  percentage  decrease  in 
 its surface area is: 
 SSC CHSL 10/08/2023 (2nd Shift) 
 (a) 25.66%  (b) 28.23% 
 (c) 22.56%  (d) 26.54% 
 Q.78.  If  four-?fths  of  ?ve-sixths  of 
 one-eighth  of  a  certain  number  is  4365, 
 what is 65% of the number? 
 SSC CHSL 11/08/2023 (1st Shift) 
 (a) 36,375  (b) 53,280 
 (c) 34,047  (d) 52,380 
 Q.79.  In  a  show  room,  the  ratio  of  TVs 
 and  rice  cookers  is  2  :  3.  Find  the 
 percentage  of  rice  cookers  in  the  show 
 room. 
 SSC CHSL 14/08/2023 (1st Shift) 
 (a) 40%  (b) 30%  (c) 60%  (d) 50% 
 Q.80.  The  radius  of  a  circle  is  increased 
 by  20%.  Find  the  percentage  increase  in 
 the circumference of the circle. 
 SSC CHSL 14/08/2023 (2nd Shift) 
 (a) 30%   (b) 20%  (c) 15%  (d) 40% 
 Q.81.  In  an  election,  a  candidate  who  got 
 73%  of  the  votes  is  elected  by  a  majority 
 of  1426  votes.  If  20%  of  votes  are  invalid, 
 then  what  is  the  total  number  of  votes 
 polled ? 
 SSC CHSL 14/08/2023 (2nd Shift) 
 (a) 1878  (b) 4824  (c) 2865  (d) 3875 
 Q.82.  Rajat,  Pooja  and  Abha  participate 
 in  the  election.  If  the  total  votes  polled 
 are  40,000  and  10%  of  votes  are  invalid, 
 Rajat  got  36%  of  valid  votes  and  Pooja 
 got  40%  of  valid  votes,  then  ?nd  the 
 number of votes Abha got. 
 SSC CHSL 14/08/2023 (3rd Shift) 
 (a) 9245  (b) 1024  (c) 8640  (d) 5760 
 Q.83.  In  an  election  between  two 
 candidates,  85%  of  the  electorate  cast 
 their  votes.  6%  of  the  votes  polled  were 
 declared  invalid.  If  the  winning  candidate 
 secured  60%  of  the  valid  votes,  how 
 many  votes  did  the  winning  candidate 
 receive  if  the  number  of  eligible  voters 
 was 10000 ? 
 SSC CHSL 17/08/2023 (1st Shift) 
 (a) 4784 (b) 4804 (c) 4794 (d) 4824 
 Q.84.  65%  of  Samita's  income  is  equal  to 
 91%  of  Bhairav's  income.  If  Samita's 
 income  was  1,500  more  than  what  it  is  ? 
 and  Bhairav's  income  was  500  more  ? 
 than  what  it  is,  the  ratio  of  the  incomes 
 of  Samita  and  Bhairav  would  have  been  3 
 :  2.  What  is  the  actual  combined  income 
 (in  ) of Samita and Bhairav?  ? 
 SSC CHSL 17/08/2023 (3rd Shift) 
 (a) 18,500  (b) 17,500 
 (c) 20,000  (d) 18,000 
 SSC CGL 2023 Tier - 1 
 Q.85.  If  A  is  95%  of  B,  then  what  percent 
 of A is B ? 
 SSC CGL 14/07/2023 (1st shift) 
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