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

 Page 1


 Pinnacle  Day: 53rd  Partnership 
 Partnership 
 When  two  or  more  persons  join  hands  for 
 a  business  to  attain  pro?ts  is  called 
 Partnership  and  the  persons  are  called 
 partners  . 
 Types of Partners :- 
 1.  Active  Partners:  The  partner  who 
 manages  the  business  is  known  as 
 Active Partner or working partner. 
 2.  Sleeping  Partner:  A  partner,  who 
 simply  invests  his  money  in  the  business 
 but  does  not  manage  it  voluntarily  is 
 referred as Sleeping partner. 
 Every  partner  invests  some  amount  of 
 money  for  a  certain  time  to  help  the 
 partnership ?rm to get pro?ts. 
 Types of partnership :- 
 1.  Simple  partnership  –  If  all  partners 
 invest  their  different  amounts  of  capital 
 (money)  for  the  same  period  or  the  same 
 capital  for  a  different  period,  then  such  a 
 partnership  is  called  a  simple 
 partnership. 
 2.  Compound  partnership  –  If  all  the 
 partners  invest  their  different  capitals 
 (money)  for  different  periods,  then  such 
 a  partnership  is  called  a  compound 
 partnership. 
 In  Compound  partnership  partners’  pro?t 
 not  only  depends  on  their  investments 
 but also on the time period. 
 Case  1.  When  capital  investment  is  the 
 same for the different time periods :- 
 :  :  =  :  :  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 Ex.1  -  Aftab,  Tarun  and  Aditya  started  a 
 business  by  investing  Rs.  8000  each  .  But 
 after  six  months  Aftab  left  and  after  8 
 months  Tarun  left  .  If  at  the  end  of  the 
 year,  there  was  a  gain  of  Rs.  7800,  then 
 what will be the share of Tarun ? 
 Sol .  Ratio of Pro?t 
 Aftab:   Tarun :  Aditya = 6   :  8   :   12 ?
 Share of Tarun  × 7800 = 2400 Rs. ?
 8 
 26 
 Case 2.  When capital investment  ,  ?? 
 1 
 ?? 
 2 
 and  is different for the different time  ?? 
 3 
 period  ,  and  .  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 :  :  =  :  :  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 ?? 
 1 
 ?? 
 1 
 ?? 
 2 
 ?? 
 2 
 ?? 
 3 
 ?? 
 3 
 Ex.2  -  Aman  and  Bhanu  invest  some 
 amount  in  the  ratio  4  :  5  in  a  business. 
 After  8  months,  Chandan  joins  them  with 
 an  investment  equal  to  thrice  that  of 
 Bhanu  .  In  what  ratio  should  the  yearly 
 pro?t  be  shared  among  Aman  ,  Bhanu 
 and Chandan ? 
 Sol . 
 Ratio  of  pro?t  is  equal  to  the  product  of 
 investment and time of investment . 
 Ratio  Aman : Bhanu  : Chandan ?
 Investment  4     :     5       :     15 ?
 Time  12     :    12     :      4 ?
 --------------------------------------------- 
 Pro?t  48  :    60  :    60   =  4 : 5 : 5 ?
 Ex.3  -  Rajesh  and  Sanjay  are  partners  in 
 a  business  ?rm.  Rajesh  puts  in  Rs.  5000 
 and  Sanjay  puts  in  Rs.  4000.  Rajesh 
 receives  10  %  of  the  pro?t  for  managing 
 the  business  as  he  is  the  active  partner 
 and  the  rest  of  the  pro?t  is  divided  in  the 
 ratio  of  their  capitals.  If  the  total  pro?t  is 
 Rs. 1000, ?nd Rajesh’s total share. 
 Sol . 
 Here  the  investment  time  is  the  same  , 
 then  the  pro?t  will  be  shared  in  the  ratio 
 of their investment . 
 Rajesh gets 10% of total pro?t  as he is 
 active partner  = 100 Rs. ? 1000× 
 10 
 100 
 Remaining Pro?t = 900 Rs. 
 Ratio of Pro?t  5000  :  4000  = 5 : 4 ?
 Rajesh  total share  100 + 500  =  600 Rs. ?
 Variety Questions 
 Q.1.  Nikita  made  two  investments;  she 
 earns  10%  on  one  investment  and  lost 
 20%  on  the  second  investment.  If  the 
 investments  were  in  the  ratio  2  :  3,  then 
 she got a : 
 SSC MTS 05/09/2023 (2nd Shift) 
 (a) loss of 8%  (b) pro?t of 15% 
 (c) pro?t of 8%  (d) loss of 15% 
 Q.2.  A  lady  invests  ?27,600  in  three 
 shares  in  the  ratio  3  :  4  :  5  which  pay 
 dividends  of  20%,  15%  and  5%  on  her 
 investment  for  that  year,  respectively. 
 What is the total dividend? 
 SSC MTS 04/09/2023 (1st Shift) 
 (a) ?3,852  (b) ?3,335 
 (c) ?3,125  (d) ?2,535 
 Q.3.  Swati  starts  a  business  with  ?  4,200 
 and  after  5  months,  Bani  joins  Swati  as 
 her  partner.  After  a  year,  the  pro?t  is 
 divided  among  Swati  and  Bani  in  the  ratio 
 2 : 5. What is Bani's contribution? 
 SSC MTS 01/09/2023 (3rd Shift) 
 (a) ?18,000  (b) ?17,050 
 (c) ?19,000  (d) ?16,500 
 Q.4.  Three  persons  A,  B  and  C  invested 
 some  money  in  a  business.  The  share  of 
 A  is  twice  the  share  of  B,  and  the  share  of 
 B  is  thrice  the  share  of  C.  After  1  year, 
 they  earned  ?6,000.  Find  the  money  A 
 received. 
 SSC CHSL 11/08/2023 (4th Shift) 
 (a) ?3,200  (b) ?3,000 
 (c) ?3,600  (d) ?3,500 
 Q.5.  Three  partners  P ,  Q  and  R  invest  ? 
 1,000,  1,200  and  1,500,  respectively,  in  ?  ? 
 a  business.  What  should  be  the  share  of 
 Q if the total pro?t is  666?  ? 
 SSC CHSL 10/08/2023 (2nd Shift) 
 (a)  216   (b)  275   (c)  252   (d)  284  ?  ?  ?  ? 
 Q.6.  Kapil  initiated  a  business  with  an 
 investment  of  ?30,00,000  in  April  2022. 
 After  six  months,  his  friend  Kunal  joined 
 him  with  an  investment  of  ?25,00,000.  In 
 February  2023,  Kapil's  Ex-Class  fellow 
 Saloni  also  invested  an  amount  equal  to 
 the  total  investment  made  by  the  earlier 
 two  partners.  In  what  ratio  the  pro?t 
 earned  after  3  years  from  the  date  on 
 which  Kapil  initiated  the  business,  will  be 
 distributed ? 
 SSC CHSL 02/08/2023 (4th Shift) 
 (a) 332 : 200 : 50  (b) 108 : 75 : 143 
 (c) 432 : 300 : 55  (d) 432 : 400 : 55 
 Q.7.  X,  Y  and  Z  enter  into  a  partnership.  X 
 invests  some  money  at  the  beginning.  Y 
 invests  thrice  the  amount  of  X  after  4 
 months  and  Z  invest  double  the  amount 
 of  Y  after  9  months  from  the  beginning.  If 
 the  annual  gain  be  Rs.  450000,  then  what 
 is the share of Y ? 
 SSC MTS 08/05/2023 (Morning) 
 (a) Rs. 200000  (b) Rs. 150000 
 (c) Rs. 100000  (d) Rs. 300000 
 Q.8.  P  invested  Rs.  4000  for  one  year.  Q 
 joined  him  with  an  investment  of  Rs. 
 6000  after  a  few  months.  If  at  the  end  of 
 one  year  the  ratio  of  pro?ts  of  P  and  Q  is 
 4  :  3,  then  Q  joined  after  how  many 
 months? 
 SSC CHSL 14/03/2023 (1st Shift) 
 (a) 4 months  (b) 3 months 
 (c) 8 months  (d) 6 months 
 Q.9.  A,  B  and  C  started  a  business  with 
 initial  investments  of  ?  20000,  ?25000 
 and  ?10000,  respectively.  After  5  months 
 from  start,  A  invested  ?  4000  more.  After 
 6  months  from  start,  C  invested  ?  8000 
 more.  After  4  months  from  start,  B 
 withdrew  ?  8000.  At  the  end  of  the  year, 
 they  will  receive  a  pro?t  of  ?  ‘x’.  In  what 
 ratio will they share the pro?ts? 
 SSC CGL Tier II (08/08/2022) 
 (a) 71 : 57 : 42  (b) 71 : 59 : 42 
 (c) 59 : 68 : 42  (d) 67 : 59 : 42 
 Q.10.  A,  B  and  C  started  a  business  with 
 their  capitals  in  the  ratio  2  :  3  :  5.  A 
 increased  his  capital  by  50%  after  4 
 months,  B  increased  his  capital  by  33 
 1 
 3 
 %  after  6  months  and  C  withdrew  50%  of 
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Page 2


 Pinnacle  Day: 53rd  Partnership 
 Partnership 
 When  two  or  more  persons  join  hands  for 
 a  business  to  attain  pro?ts  is  called 
 Partnership  and  the  persons  are  called 
 partners  . 
 Types of Partners :- 
 1.  Active  Partners:  The  partner  who 
 manages  the  business  is  known  as 
 Active Partner or working partner. 
 2.  Sleeping  Partner:  A  partner,  who 
 simply  invests  his  money  in  the  business 
 but  does  not  manage  it  voluntarily  is 
 referred as Sleeping partner. 
 Every  partner  invests  some  amount  of 
 money  for  a  certain  time  to  help  the 
 partnership ?rm to get pro?ts. 
 Types of partnership :- 
 1.  Simple  partnership  –  If  all  partners 
 invest  their  different  amounts  of  capital 
 (money)  for  the  same  period  or  the  same 
 capital  for  a  different  period,  then  such  a 
 partnership  is  called  a  simple 
 partnership. 
 2.  Compound  partnership  –  If  all  the 
 partners  invest  their  different  capitals 
 (money)  for  different  periods,  then  such 
 a  partnership  is  called  a  compound 
 partnership. 
 In  Compound  partnership  partners’  pro?t 
 not  only  depends  on  their  investments 
 but also on the time period. 
 Case  1.  When  capital  investment  is  the 
 same for the different time periods :- 
 :  :  =  :  :  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 Ex.1  -  Aftab,  Tarun  and  Aditya  started  a 
 business  by  investing  Rs.  8000  each  .  But 
 after  six  months  Aftab  left  and  after  8 
 months  Tarun  left  .  If  at  the  end  of  the 
 year,  there  was  a  gain  of  Rs.  7800,  then 
 what will be the share of Tarun ? 
 Sol .  Ratio of Pro?t 
 Aftab:   Tarun :  Aditya = 6   :  8   :   12 ?
 Share of Tarun  × 7800 = 2400 Rs. ?
 8 
 26 
 Case 2.  When capital investment  ,  ?? 
 1 
 ?? 
 2 
 and  is different for the different time  ?? 
 3 
 period  ,  and  .  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 :  :  =  :  :  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 ?? 
 1 
 ?? 
 1 
 ?? 
 2 
 ?? 
 2 
 ?? 
 3 
 ?? 
 3 
 Ex.2  -  Aman  and  Bhanu  invest  some 
 amount  in  the  ratio  4  :  5  in  a  business. 
 After  8  months,  Chandan  joins  them  with 
 an  investment  equal  to  thrice  that  of 
 Bhanu  .  In  what  ratio  should  the  yearly 
 pro?t  be  shared  among  Aman  ,  Bhanu 
 and Chandan ? 
 Sol . 
 Ratio  of  pro?t  is  equal  to  the  product  of 
 investment and time of investment . 
 Ratio  Aman : Bhanu  : Chandan ?
 Investment  4     :     5       :     15 ?
 Time  12     :    12     :      4 ?
 --------------------------------------------- 
 Pro?t  48  :    60  :    60   =  4 : 5 : 5 ?
 Ex.3  -  Rajesh  and  Sanjay  are  partners  in 
 a  business  ?rm.  Rajesh  puts  in  Rs.  5000 
 and  Sanjay  puts  in  Rs.  4000.  Rajesh 
 receives  10  %  of  the  pro?t  for  managing 
 the  business  as  he  is  the  active  partner 
 and  the  rest  of  the  pro?t  is  divided  in  the 
 ratio  of  their  capitals.  If  the  total  pro?t  is 
 Rs. 1000, ?nd Rajesh’s total share. 
 Sol . 
 Here  the  investment  time  is  the  same  , 
 then  the  pro?t  will  be  shared  in  the  ratio 
 of their investment . 
 Rajesh gets 10% of total pro?t  as he is 
 active partner  = 100 Rs. ? 1000× 
 10 
 100 
 Remaining Pro?t = 900 Rs. 
 Ratio of Pro?t  5000  :  4000  = 5 : 4 ?
 Rajesh  total share  100 + 500  =  600 Rs. ?
 Variety Questions 
 Q.1.  Nikita  made  two  investments;  she 
 earns  10%  on  one  investment  and  lost 
 20%  on  the  second  investment.  If  the 
 investments  were  in  the  ratio  2  :  3,  then 
 she got a : 
 SSC MTS 05/09/2023 (2nd Shift) 
 (a) loss of 8%  (b) pro?t of 15% 
 (c) pro?t of 8%  (d) loss of 15% 
 Q.2.  A  lady  invests  ?27,600  in  three 
 shares  in  the  ratio  3  :  4  :  5  which  pay 
 dividends  of  20%,  15%  and  5%  on  her 
 investment  for  that  year,  respectively. 
 What is the total dividend? 
 SSC MTS 04/09/2023 (1st Shift) 
 (a) ?3,852  (b) ?3,335 
 (c) ?3,125  (d) ?2,535 
 Q.3.  Swati  starts  a  business  with  ?  4,200 
 and  after  5  months,  Bani  joins  Swati  as 
 her  partner.  After  a  year,  the  pro?t  is 
 divided  among  Swati  and  Bani  in  the  ratio 
 2 : 5. What is Bani's contribution? 
 SSC MTS 01/09/2023 (3rd Shift) 
 (a) ?18,000  (b) ?17,050 
 (c) ?19,000  (d) ?16,500 
 Q.4.  Three  persons  A,  B  and  C  invested 
 some  money  in  a  business.  The  share  of 
 A  is  twice  the  share  of  B,  and  the  share  of 
 B  is  thrice  the  share  of  C.  After  1  year, 
 they  earned  ?6,000.  Find  the  money  A 
 received. 
 SSC CHSL 11/08/2023 (4th Shift) 
 (a) ?3,200  (b) ?3,000 
 (c) ?3,600  (d) ?3,500 
 Q.5.  Three  partners  P ,  Q  and  R  invest  ? 
 1,000,  1,200  and  1,500,  respectively,  in  ?  ? 
 a  business.  What  should  be  the  share  of 
 Q if the total pro?t is  666?  ? 
 SSC CHSL 10/08/2023 (2nd Shift) 
 (a)  216   (b)  275   (c)  252   (d)  284  ?  ?  ?  ? 
 Q.6.  Kapil  initiated  a  business  with  an 
 investment  of  ?30,00,000  in  April  2022. 
 After  six  months,  his  friend  Kunal  joined 
 him  with  an  investment  of  ?25,00,000.  In 
 February  2023,  Kapil's  Ex-Class  fellow 
 Saloni  also  invested  an  amount  equal  to 
 the  total  investment  made  by  the  earlier 
 two  partners.  In  what  ratio  the  pro?t 
 earned  after  3  years  from  the  date  on 
 which  Kapil  initiated  the  business,  will  be 
 distributed ? 
 SSC CHSL 02/08/2023 (4th Shift) 
 (a) 332 : 200 : 50  (b) 108 : 75 : 143 
 (c) 432 : 300 : 55  (d) 432 : 400 : 55 
 Q.7.  X,  Y  and  Z  enter  into  a  partnership.  X 
 invests  some  money  at  the  beginning.  Y 
 invests  thrice  the  amount  of  X  after  4 
 months  and  Z  invest  double  the  amount 
 of  Y  after  9  months  from  the  beginning.  If 
 the  annual  gain  be  Rs.  450000,  then  what 
 is the share of Y ? 
 SSC MTS 08/05/2023 (Morning) 
 (a) Rs. 200000  (b) Rs. 150000 
 (c) Rs. 100000  (d) Rs. 300000 
 Q.8.  P  invested  Rs.  4000  for  one  year.  Q 
 joined  him  with  an  investment  of  Rs. 
 6000  after  a  few  months.  If  at  the  end  of 
 one  year  the  ratio  of  pro?ts  of  P  and  Q  is 
 4  :  3,  then  Q  joined  after  how  many 
 months? 
 SSC CHSL 14/03/2023 (1st Shift) 
 (a) 4 months  (b) 3 months 
 (c) 8 months  (d) 6 months 
 Q.9.  A,  B  and  C  started  a  business  with 
 initial  investments  of  ?  20000,  ?25000 
 and  ?10000,  respectively.  After  5  months 
 from  start,  A  invested  ?  4000  more.  After 
 6  months  from  start,  C  invested  ?  8000 
 more.  After  4  months  from  start,  B 
 withdrew  ?  8000.  At  the  end  of  the  year, 
 they  will  receive  a  pro?t  of  ?  ‘x’.  In  what 
 ratio will they share the pro?ts? 
 SSC CGL Tier II (08/08/2022) 
 (a) 71 : 57 : 42  (b) 71 : 59 : 42 
 (c) 59 : 68 : 42  (d) 67 : 59 : 42 
 Q.10.  A,  B  and  C  started  a  business  with 
 their  capitals  in  the  ratio  2  :  3  :  5.  A 
 increased  his  capital  by  50%  after  4 
 months,  B  increased  his  capital  by  33 
 1 
 3 
 %  after  6  months  and  C  withdrew  50%  of 
 www.ssccglpinnacle.com                                                 Download Pinnacle Exam Preparation App 345
 Pinnacle  Day: 53rd  Partnership 
 his  capital  after  8  months,  from  the  start 
 of  the  business.  If  the  total  pro?t  at  the 
 end  of  a  year  was  Rs.  86,800,  then  the 
 difference  between  the  shares  of  A  and  C 
 in the pro?t was : 
 SSC CGL Tier II (13/09/2019) 
 (a) Rs.12,600  (b) Rs.7,000 
 (c) Rs.9,800            (d) Rs.8,400 
 Q.11.  A,  B  and  C  started  a  business  by 
 investing  Rs  1,37,500  and  Rs  1,62,500 
 and  Rs  1,87,500  respectively.  A  is  a 
 working  partner  and  gets  20%  of  the 
 pro?t  as  working  allowance  and 
 remaining  is  distributed  in  the  proportion 
 of  their  investment.  If  the  total  pro?t  is 
 Rs 2,19,375. What is the share of C? 
 SSC CPO 13/03/2019 (Evening) 
 (a) Rs 88,600  (b) Rs 64,500 
 (c) Rs 67,500  (d) Rs 62,700 
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.12.  A  and  B  enter  into  a  partnership 
 with  ?25,000  and  ?50,000,  respectively,  in 
 a  company  for  a  year.  After  7  months,  C 
 gets  into  a  partnership  with  them  with 
 ?30,000  and  A  withdraws  his  contribution 
 after  9  months.  What  would  be  C's  share 
 in  the  pro?t,  assuming  a  total  pro?t  of 
 ?3,900 at the end of the year? 
 SSC CHSL Tier II  (02/11/2023) 
 (a) ?600  (b) ?800  (c) ?1,200  (d) ?1,000 
 SSC MTS 2023 Tier - 1 
 Q.13.  Arvind,  Bilal.  Carmen  invest 
 ?49,000  towards  a  business.  Arvind 
 invests  ?5,000  more  than  Bilal  and  Bilal 
 invests  ?4,000  more  than  Carmen  Out  of 
 a  total  pro?t  of  ?98,000,  how  much  does 
 Bilal receive? 
 SSC MTS 11/09/2023 (1st Shift) 
 (a) ?34,400  (b) ?33,200 
 (c) ?30,500  (d) ?32,000 
 Q.14.  Mayur  and  Aham  enter  into  a 
 partnership  by  making  investments  in  the 
 ratio  2:  3.  10%  of  the  total  pro?t  goes  to 
 charity.  If  Aham's  share  is  ?4,860,  then 
 what is the total pro?t (in ?) earned? 
 SSC MTS 11/09/2023 (3rd Shift) 
 (a) 7,200 (b) 9,000 (c) 8,500 (d) 11,000 
 Q.15.  A  ,  B  and  C  started  a  business.  A's 
 capital  is  7  times  the  capital  of  C  and  B's 
 capital  is  2  times  the  capital  of  A.  If  the 
 pro?t  is  ?7,920,  then  ?nd  the  share  of  C 
 (in ? ). 
 SSC MTS 13/09/2023 (3rd Shift) 
 (a) 350  (b) 360  (c) 365  (d) 355 
 SSC CHSL 2023 Tier - 1 
 Q.16.  A  is  a  working  partner  and  B  is  a 
 sleeping  partner  in  a  business.  A 
 invested  ?30,000  and  B  invested  ?50,000. 
 A  receives  20%  of  the  pro?t  for  managing 
 the  business  and  the  rest  is  divided  in 
 proportion  to  their  capital.  What  does  B 
 get out of the pro?t of ?10,000? 
 SSC CHSL 02/08/2023 (2nd Shift) 
 (a) ?5,500  (b) ?5,000 
 (c) ?4,500  (d) ?4,000 
 Q.17.  Anam  and  Bikash  invest  in  a 
 business  in  the  ratio  3  :  2.  If  in  a 
 particular  month,  Anam  gets  ?3,840  as 
 pro?t, the total pro?t is: 
 SSC CHSL 04/08/2023 (2nd Shift) 
 (a) ? 5,800  (b) ?6,300 
 (c) ?6,550  (d) ?6,400 
 Q.18.  A,  B  and  C  started  a  business  by 
 investing  ?9,000,  ?18,000  and  ?  21,000, 
 respectively.  If  B's  share  in  the  pro?t 
 earned  by  them  is  ?759,  then  the  total 
 pro?t earned by them together is: 
 SSC CHSL 10/08/2023 (3rd Shift) 
 (a) ?2,808  (b) ?2,024 
 (c) ?2,504  (d) ?2,208 
 SSC CGL 2023 Tier - 1 
 Q.19.  A  and  B  invested  money  in  a 
 business  in  the  ratio  of  7  :  5.  If  15%  of  the 
 total  pro?t  goes  for  charity,  and  A's  share 
 in  the  pro?t  is  Rs.5,950,  then  what  is  the 
 total pro?t? 
 SSC CGL 18/07/2023 (4th shift) 
 (a) Rs.12,500  (b) Rs.12,000 
 (c) Rs.10,500  (d) Rs.11,750 
 SSC Selection Post (Phase - XI) 
 Q.20.  A  starts  a  business  with  ?45,000 
 and  was  joined  afterwards  by  B  with 
 ?30,000.  When  did  B  join  if  the  pro?t  at 
 the  end  of  the  year  was  divided  in  the 
 ratio 2 : 1 ? 
 Matriculation Level 30/06/2023 (Shift - 4) 
 (a) After 6 months      (b) After 12 months 
 (c) After 3 months      (d) After 9 months 
 SSC CHSL 2022 Tier - 2 
 Q.21.  A  and  B  jointly  start  a  business. 
 The  investment  of  A  is  equal  to  seven 
 times  the  investment  of  B.  Find  the  share 
 of  A  (in  ?)  in  the  annual  pro?t  of 
 ?2,75,000. 
 SSC CHSL Tier II (26/06/2023) 
 (a) 2,40,625  (b) 2,45,625 
 (c) 2,42,365  (d) 2,41,225 
 SSC MTS 2022 Tier - 1 
 Q.22.  Rs.1200  are  divided  among  X,  Y 
 and  Z  such  that  Y's  share  is  Rs.200  more 
 than  X's  share.  Y's  share  is  also  Rs.200 
 less than Z's share. The share of Y is: 
 SSC MTS 12/05/2023 (Evening) 
 (a) Rs.200  (b) Rs.600 
 (c) Rs.800  (d) Rs.400 
 Q.23.  A  and  B  enter  into  a  partnership 
 such  that  5  times  of  A's  investment  is 
 equal  to  7  times  of  B's  investment.  If  the 
 total  pro?t  is  Rs.  12000,  then  what  is  the 
 share of A ? 
 SSC MTS 10/05/2023 (Morning) 
 (a) Rs.6300  (b) Rs.7000 
 (c) Rs.8000  (d) Rs.7500 
 Q.24.  A  and  B  started  a  business  with 
 Rs.15000  and  Rs.30000  respectively.  If  A 
 and  B  share  pro?t  in  the  ratio  of  1:  5 
 respectively,  then  what  is  the  ratio  of  the 
 time  period  of  investment  for  A  and  B 
 respectively ? 
 SSC MTS 11/05/2023 (Afternoon) 
 (a) 1 : 2  (b) 2 : 5    (c) 2 : 3  (d) 2 : 7 
 Q.25.  Three  partners  P ,  Q  and  R  invested 
 a  total  of  Rs.  52,000  in  a  business.  At  the 
 end  of  the  year,  P  got  Rs.  1430,  Q  got 
 Rs.1870  and  R  got  Rs.  2420  as  the  share 
 of  pro?t.  How  much  amount  did  Q  invest 
 in the business ? 
 SSC MTS 13/06/2023 (Evening) 
 (a) Rs. 17000  (b) Rs. 20400 
 (c) Rs. 15300  (d) Rs. 18700 
 SSC CHSL 2022 Tier - 1 
 Q.26.  P ,  Q  and  R  are  partners  and  invest 
 in  a  business.  P  invests  th  of  the  total 
 1 
 5 
 investments  and  Q  invests  th  of  the 
 1 
 4 
 total  investments.  What  is  the  ratio  of 
 investments of P , Q and R respectively? 
 SSC CHSL 13/03/2023 (1st Shift) 
 (a) 4 : 8 : 11  (b) 4 : 5 : 11 
 (c) 4 : 7 : 11  (d) 4 : 5 : 9 
 Q.27.  X,  Y  and  Z  invested  Rs.4,000, 
 Rs.6,000  and  Rs.8,000  respectively  in  a 
 business.  They  invested  the  money  for 
 3,2  and  4  years  respectively.  If  the  total 
 pro?t  is  Rs.56,000,  then  what  is  the  share 
 of Y in the pro?t? 
 SSC CHSL 15/03/2023 (2nd Shift) 
 (a) Rs.18,000  (b) Rs.12,000 
 (c) Rs.15,000  (d) Rs.9,000 
 Q.28.  Nikhil  and  Neha  invested  capital  in 
 the  ratio  5  :  4.  The  time  Neha  invested 
 her  money  for  was  one  year  more  than 
 that  invested  by  Nikhil.  The  ratio  of  their 
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 Pinnacle  Day: 53rd  Partnership 
 Partnership 
 When  two  or  more  persons  join  hands  for 
 a  business  to  attain  pro?ts  is  called 
 Partnership  and  the  persons  are  called 
 partners  . 
 Types of Partners :- 
 1.  Active  Partners:  The  partner  who 
 manages  the  business  is  known  as 
 Active Partner or working partner. 
 2.  Sleeping  Partner:  A  partner,  who 
 simply  invests  his  money  in  the  business 
 but  does  not  manage  it  voluntarily  is 
 referred as Sleeping partner. 
 Every  partner  invests  some  amount  of 
 money  for  a  certain  time  to  help  the 
 partnership ?rm to get pro?ts. 
 Types of partnership :- 
 1.  Simple  partnership  –  If  all  partners 
 invest  their  different  amounts  of  capital 
 (money)  for  the  same  period  or  the  same 
 capital  for  a  different  period,  then  such  a 
 partnership  is  called  a  simple 
 partnership. 
 2.  Compound  partnership  –  If  all  the 
 partners  invest  their  different  capitals 
 (money)  for  different  periods,  then  such 
 a  partnership  is  called  a  compound 
 partnership. 
 In  Compound  partnership  partners’  pro?t 
 not  only  depends  on  their  investments 
 but also on the time period. 
 Case  1.  When  capital  investment  is  the 
 same for the different time periods :- 
 :  :  =  :  :  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 Ex.1  -  Aftab,  Tarun  and  Aditya  started  a 
 business  by  investing  Rs.  8000  each  .  But 
 after  six  months  Aftab  left  and  after  8 
 months  Tarun  left  .  If  at  the  end  of  the 
 year,  there  was  a  gain  of  Rs.  7800,  then 
 what will be the share of Tarun ? 
 Sol .  Ratio of Pro?t 
 Aftab:   Tarun :  Aditya = 6   :  8   :   12 ?
 Share of Tarun  × 7800 = 2400 Rs. ?
 8 
 26 
 Case 2.  When capital investment  ,  ?? 
 1 
 ?? 
 2 
 and  is different for the different time  ?? 
 3 
 period  ,  and  .  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 :  :  =  :  :  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 ?? 
 1 
 ?? 
 1 
 ?? 
 2 
 ?? 
 2 
 ?? 
 3 
 ?? 
 3 
 Ex.2  -  Aman  and  Bhanu  invest  some 
 amount  in  the  ratio  4  :  5  in  a  business. 
 After  8  months,  Chandan  joins  them  with 
 an  investment  equal  to  thrice  that  of 
 Bhanu  .  In  what  ratio  should  the  yearly 
 pro?t  be  shared  among  Aman  ,  Bhanu 
 and Chandan ? 
 Sol . 
 Ratio  of  pro?t  is  equal  to  the  product  of 
 investment and time of investment . 
 Ratio  Aman : Bhanu  : Chandan ?
 Investment  4     :     5       :     15 ?
 Time  12     :    12     :      4 ?
 --------------------------------------------- 
 Pro?t  48  :    60  :    60   =  4 : 5 : 5 ?
 Ex.3  -  Rajesh  and  Sanjay  are  partners  in 
 a  business  ?rm.  Rajesh  puts  in  Rs.  5000 
 and  Sanjay  puts  in  Rs.  4000.  Rajesh 
 receives  10  %  of  the  pro?t  for  managing 
 the  business  as  he  is  the  active  partner 
 and  the  rest  of  the  pro?t  is  divided  in  the 
 ratio  of  their  capitals.  If  the  total  pro?t  is 
 Rs. 1000, ?nd Rajesh’s total share. 
 Sol . 
 Here  the  investment  time  is  the  same  , 
 then  the  pro?t  will  be  shared  in  the  ratio 
 of their investment . 
 Rajesh gets 10% of total pro?t  as he is 
 active partner  = 100 Rs. ? 1000× 
 10 
 100 
 Remaining Pro?t = 900 Rs. 
 Ratio of Pro?t  5000  :  4000  = 5 : 4 ?
 Rajesh  total share  100 + 500  =  600 Rs. ?
 Variety Questions 
 Q.1.  Nikita  made  two  investments;  she 
 earns  10%  on  one  investment  and  lost 
 20%  on  the  second  investment.  If  the 
 investments  were  in  the  ratio  2  :  3,  then 
 she got a : 
 SSC MTS 05/09/2023 (2nd Shift) 
 (a) loss of 8%  (b) pro?t of 15% 
 (c) pro?t of 8%  (d) loss of 15% 
 Q.2.  A  lady  invests  ?27,600  in  three 
 shares  in  the  ratio  3  :  4  :  5  which  pay 
 dividends  of  20%,  15%  and  5%  on  her 
 investment  for  that  year,  respectively. 
 What is the total dividend? 
 SSC MTS 04/09/2023 (1st Shift) 
 (a) ?3,852  (b) ?3,335 
 (c) ?3,125  (d) ?2,535 
 Q.3.  Swati  starts  a  business  with  ?  4,200 
 and  after  5  months,  Bani  joins  Swati  as 
 her  partner.  After  a  year,  the  pro?t  is 
 divided  among  Swati  and  Bani  in  the  ratio 
 2 : 5. What is Bani's contribution? 
 SSC MTS 01/09/2023 (3rd Shift) 
 (a) ?18,000  (b) ?17,050 
 (c) ?19,000  (d) ?16,500 
 Q.4.  Three  persons  A,  B  and  C  invested 
 some  money  in  a  business.  The  share  of 
 A  is  twice  the  share  of  B,  and  the  share  of 
 B  is  thrice  the  share  of  C.  After  1  year, 
 they  earned  ?6,000.  Find  the  money  A 
 received. 
 SSC CHSL 11/08/2023 (4th Shift) 
 (a) ?3,200  (b) ?3,000 
 (c) ?3,600  (d) ?3,500 
 Q.5.  Three  partners  P ,  Q  and  R  invest  ? 
 1,000,  1,200  and  1,500,  respectively,  in  ?  ? 
 a  business.  What  should  be  the  share  of 
 Q if the total pro?t is  666?  ? 
 SSC CHSL 10/08/2023 (2nd Shift) 
 (a)  216   (b)  275   (c)  252   (d)  284  ?  ?  ?  ? 
 Q.6.  Kapil  initiated  a  business  with  an 
 investment  of  ?30,00,000  in  April  2022. 
 After  six  months,  his  friend  Kunal  joined 
 him  with  an  investment  of  ?25,00,000.  In 
 February  2023,  Kapil's  Ex-Class  fellow 
 Saloni  also  invested  an  amount  equal  to 
 the  total  investment  made  by  the  earlier 
 two  partners.  In  what  ratio  the  pro?t 
 earned  after  3  years  from  the  date  on 
 which  Kapil  initiated  the  business,  will  be 
 distributed ? 
 SSC CHSL 02/08/2023 (4th Shift) 
 (a) 332 : 200 : 50  (b) 108 : 75 : 143 
 (c) 432 : 300 : 55  (d) 432 : 400 : 55 
 Q.7.  X,  Y  and  Z  enter  into  a  partnership.  X 
 invests  some  money  at  the  beginning.  Y 
 invests  thrice  the  amount  of  X  after  4 
 months  and  Z  invest  double  the  amount 
 of  Y  after  9  months  from  the  beginning.  If 
 the  annual  gain  be  Rs.  450000,  then  what 
 is the share of Y ? 
 SSC MTS 08/05/2023 (Morning) 
 (a) Rs. 200000  (b) Rs. 150000 
 (c) Rs. 100000  (d) Rs. 300000 
 Q.8.  P  invested  Rs.  4000  for  one  year.  Q 
 joined  him  with  an  investment  of  Rs. 
 6000  after  a  few  months.  If  at  the  end  of 
 one  year  the  ratio  of  pro?ts  of  P  and  Q  is 
 4  :  3,  then  Q  joined  after  how  many 
 months? 
 SSC CHSL 14/03/2023 (1st Shift) 
 (a) 4 months  (b) 3 months 
 (c) 8 months  (d) 6 months 
 Q.9.  A,  B  and  C  started  a  business  with 
 initial  investments  of  ?  20000,  ?25000 
 and  ?10000,  respectively.  After  5  months 
 from  start,  A  invested  ?  4000  more.  After 
 6  months  from  start,  C  invested  ?  8000 
 more.  After  4  months  from  start,  B 
 withdrew  ?  8000.  At  the  end  of  the  year, 
 they  will  receive  a  pro?t  of  ?  ‘x’.  In  what 
 ratio will they share the pro?ts? 
 SSC CGL Tier II (08/08/2022) 
 (a) 71 : 57 : 42  (b) 71 : 59 : 42 
 (c) 59 : 68 : 42  (d) 67 : 59 : 42 
 Q.10.  A,  B  and  C  started  a  business  with 
 their  capitals  in  the  ratio  2  :  3  :  5.  A 
 increased  his  capital  by  50%  after  4 
 months,  B  increased  his  capital  by  33 
 1 
 3 
 %  after  6  months  and  C  withdrew  50%  of 
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 Pinnacle  Day: 53rd  Partnership 
 his  capital  after  8  months,  from  the  start 
 of  the  business.  If  the  total  pro?t  at  the 
 end  of  a  year  was  Rs.  86,800,  then  the 
 difference  between  the  shares  of  A  and  C 
 in the pro?t was : 
 SSC CGL Tier II (13/09/2019) 
 (a) Rs.12,600  (b) Rs.7,000 
 (c) Rs.9,800            (d) Rs.8,400 
 Q.11.  A,  B  and  C  started  a  business  by 
 investing  Rs  1,37,500  and  Rs  1,62,500 
 and  Rs  1,87,500  respectively.  A  is  a 
 working  partner  and  gets  20%  of  the 
 pro?t  as  working  allowance  and 
 remaining  is  distributed  in  the  proportion 
 of  their  investment.  If  the  total  pro?t  is 
 Rs 2,19,375. What is the share of C? 
 SSC CPO 13/03/2019 (Evening) 
 (a) Rs 88,600  (b) Rs 64,500 
 (c) Rs 67,500  (d) Rs 62,700 
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.12.  A  and  B  enter  into  a  partnership 
 with  ?25,000  and  ?50,000,  respectively,  in 
 a  company  for  a  year.  After  7  months,  C 
 gets  into  a  partnership  with  them  with 
 ?30,000  and  A  withdraws  his  contribution 
 after  9  months.  What  would  be  C's  share 
 in  the  pro?t,  assuming  a  total  pro?t  of 
 ?3,900 at the end of the year? 
 SSC CHSL Tier II  (02/11/2023) 
 (a) ?600  (b) ?800  (c) ?1,200  (d) ?1,000 
 SSC MTS 2023 Tier - 1 
 Q.13.  Arvind,  Bilal.  Carmen  invest 
 ?49,000  towards  a  business.  Arvind 
 invests  ?5,000  more  than  Bilal  and  Bilal 
 invests  ?4,000  more  than  Carmen  Out  of 
 a  total  pro?t  of  ?98,000,  how  much  does 
 Bilal receive? 
 SSC MTS 11/09/2023 (1st Shift) 
 (a) ?34,400  (b) ?33,200 
 (c) ?30,500  (d) ?32,000 
 Q.14.  Mayur  and  Aham  enter  into  a 
 partnership  by  making  investments  in  the 
 ratio  2:  3.  10%  of  the  total  pro?t  goes  to 
 charity.  If  Aham's  share  is  ?4,860,  then 
 what is the total pro?t (in ?) earned? 
 SSC MTS 11/09/2023 (3rd Shift) 
 (a) 7,200 (b) 9,000 (c) 8,500 (d) 11,000 
 Q.15.  A  ,  B  and  C  started  a  business.  A's 
 capital  is  7  times  the  capital  of  C  and  B's 
 capital  is  2  times  the  capital  of  A.  If  the 
 pro?t  is  ?7,920,  then  ?nd  the  share  of  C 
 (in ? ). 
 SSC MTS 13/09/2023 (3rd Shift) 
 (a) 350  (b) 360  (c) 365  (d) 355 
 SSC CHSL 2023 Tier - 1 
 Q.16.  A  is  a  working  partner  and  B  is  a 
 sleeping  partner  in  a  business.  A 
 invested  ?30,000  and  B  invested  ?50,000. 
 A  receives  20%  of  the  pro?t  for  managing 
 the  business  and  the  rest  is  divided  in 
 proportion  to  their  capital.  What  does  B 
 get out of the pro?t of ?10,000? 
 SSC CHSL 02/08/2023 (2nd Shift) 
 (a) ?5,500  (b) ?5,000 
 (c) ?4,500  (d) ?4,000 
 Q.17.  Anam  and  Bikash  invest  in  a 
 business  in  the  ratio  3  :  2.  If  in  a 
 particular  month,  Anam  gets  ?3,840  as 
 pro?t, the total pro?t is: 
 SSC CHSL 04/08/2023 (2nd Shift) 
 (a) ? 5,800  (b) ?6,300 
 (c) ?6,550  (d) ?6,400 
 Q.18.  A,  B  and  C  started  a  business  by 
 investing  ?9,000,  ?18,000  and  ?  21,000, 
 respectively.  If  B's  share  in  the  pro?t 
 earned  by  them  is  ?759,  then  the  total 
 pro?t earned by them together is: 
 SSC CHSL 10/08/2023 (3rd Shift) 
 (a) ?2,808  (b) ?2,024 
 (c) ?2,504  (d) ?2,208 
 SSC CGL 2023 Tier - 1 
 Q.19.  A  and  B  invested  money  in  a 
 business  in  the  ratio  of  7  :  5.  If  15%  of  the 
 total  pro?t  goes  for  charity,  and  A's  share 
 in  the  pro?t  is  Rs.5,950,  then  what  is  the 
 total pro?t? 
 SSC CGL 18/07/2023 (4th shift) 
 (a) Rs.12,500  (b) Rs.12,000 
 (c) Rs.10,500  (d) Rs.11,750 
 SSC Selection Post (Phase - XI) 
 Q.20.  A  starts  a  business  with  ?45,000 
 and  was  joined  afterwards  by  B  with 
 ?30,000.  When  did  B  join  if  the  pro?t  at 
 the  end  of  the  year  was  divided  in  the 
 ratio 2 : 1 ? 
 Matriculation Level 30/06/2023 (Shift - 4) 
 (a) After 6 months      (b) After 12 months 
 (c) After 3 months      (d) After 9 months 
 SSC CHSL 2022 Tier - 2 
 Q.21.  A  and  B  jointly  start  a  business. 
 The  investment  of  A  is  equal  to  seven 
 times  the  investment  of  B.  Find  the  share 
 of  A  (in  ?)  in  the  annual  pro?t  of 
 ?2,75,000. 
 SSC CHSL Tier II (26/06/2023) 
 (a) 2,40,625  (b) 2,45,625 
 (c) 2,42,365  (d) 2,41,225 
 SSC MTS 2022 Tier - 1 
 Q.22.  Rs.1200  are  divided  among  X,  Y 
 and  Z  such  that  Y's  share  is  Rs.200  more 
 than  X's  share.  Y's  share  is  also  Rs.200 
 less than Z's share. The share of Y is: 
 SSC MTS 12/05/2023 (Evening) 
 (a) Rs.200  (b) Rs.600 
 (c) Rs.800  (d) Rs.400 
 Q.23.  A  and  B  enter  into  a  partnership 
 such  that  5  times  of  A's  investment  is 
 equal  to  7  times  of  B's  investment.  If  the 
 total  pro?t  is  Rs.  12000,  then  what  is  the 
 share of A ? 
 SSC MTS 10/05/2023 (Morning) 
 (a) Rs.6300  (b) Rs.7000 
 (c) Rs.8000  (d) Rs.7500 
 Q.24.  A  and  B  started  a  business  with 
 Rs.15000  and  Rs.30000  respectively.  If  A 
 and  B  share  pro?t  in  the  ratio  of  1:  5 
 respectively,  then  what  is  the  ratio  of  the 
 time  period  of  investment  for  A  and  B 
 respectively ? 
 SSC MTS 11/05/2023 (Afternoon) 
 (a) 1 : 2  (b) 2 : 5    (c) 2 : 3  (d) 2 : 7 
 Q.25.  Three  partners  P ,  Q  and  R  invested 
 a  total  of  Rs.  52,000  in  a  business.  At  the 
 end  of  the  year,  P  got  Rs.  1430,  Q  got 
 Rs.1870  and  R  got  Rs.  2420  as  the  share 
 of  pro?t.  How  much  amount  did  Q  invest 
 in the business ? 
 SSC MTS 13/06/2023 (Evening) 
 (a) Rs. 17000  (b) Rs. 20400 
 (c) Rs. 15300  (d) Rs. 18700 
 SSC CHSL 2022 Tier - 1 
 Q.26.  P ,  Q  and  R  are  partners  and  invest 
 in  a  business.  P  invests  th  of  the  total 
 1 
 5 
 investments  and  Q  invests  th  of  the 
 1 
 4 
 total  investments.  What  is  the  ratio  of 
 investments of P , Q and R respectively? 
 SSC CHSL 13/03/2023 (1st Shift) 
 (a) 4 : 8 : 11  (b) 4 : 5 : 11 
 (c) 4 : 7 : 11  (d) 4 : 5 : 9 
 Q.27.  X,  Y  and  Z  invested  Rs.4,000, 
 Rs.6,000  and  Rs.8,000  respectively  in  a 
 business.  They  invested  the  money  for 
 3,2  and  4  years  respectively.  If  the  total 
 pro?t  is  Rs.56,000,  then  what  is  the  share 
 of Y in the pro?t? 
 SSC CHSL 15/03/2023 (2nd Shift) 
 (a) Rs.18,000  (b) Rs.12,000 
 (c) Rs.15,000  (d) Rs.9,000 
 Q.28.  Nikhil  and  Neha  invested  capital  in 
 the  ratio  5  :  4.  The  time  Neha  invested 
 her  money  for  was  one  year  more  than 
 that  invested  by  Nikhil.  The  ratio  of  their 
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 Pinnacle  Day: 53rd  Partnership 
 pro?ts  is  in  the  ratio  6:  5.  Find  the  time 
 Neha invested the money for. 
 SSC CHSL 21/03/2023 (1st Shift) 
 (a) 26 years  (b) 23 years 
 (c) 24 years  (d) 25 years 
 SSC CGL 2022 Tier - 2 
 Q.29.  A,  B  and  C  did  certain  investments 
 and  the  ratio  of  their  time  periods  is  3  :  2  : 
 7  respectively.  Ratio  of  the  pro?ts  of  A,  B 
 and  C  is  4  :  3  :  14  respectively.  What  is  the 
 ratio of the investments of A, B and C ? 
 SSC CGL Tier II (02/03/2023) 
 (a) 1 : 3 : 4  (b) 7 : 9 : 11 
 (c) 8 : 9 : 12  (d) 2 : 3 : 11 
 Q.30.  Suresh,  Dinesh  and  Ramesh 
 became  partners  in  a  business  by 
 investing  money  in  the  ratio  of  3  :  6  :  8.  If 
 their  investments  are  increased  by  5%, 
 15%  and  20%,  respectively,  then  what 
 will  be  the  ratio  of  their  pro?ts  for  one 
 year ? 
 SSC CGL Tier II (03/03/2023) 
 (a) 7 : 46 : 64  (b) 19 : 46 : 64 
 (c) 21 : 46 : 64  (d) 35 : 46 : 64 
 Q.31.  A  starts  a  business  with  ?75,000 
 and  B  joins  the  business  5  months  later 
 with  an  investment  of  ?80,000.  After  1 
 year,  they  earn  a  pro?t  of  ?4,08,800.  Find 
 the share of A and B (in ?). 
 SSC CGL Tier II (07/03/2023) 
 (a) 2,52,000 and 1,56,800 
 (b) 2,50,000 and 1,58,800 
 (c) 2,48,000 and 1,60,800 
 (d) 2,49,500 and 1,59,300 
 SSC CGL 2021 Tier - 2 
 Q.32.  A,B  and  C  started  a  business  with 
 the  investment  of  100000  ,  140000  ,  ?  ?  ? 
 200000  respectively.  After  3  months,  C 
 left  the  business,  7  months  after  C  left 
 the  business,  B  also  left  the  business.  B 
 and  C  took  their  investment  with  them.  At 
 the  end  of  the  year,  C  received  his  share 
 of  pro?t  as  1155.  What  is  the  total  ? 
 share of pro?ts of A and B ? 
 SSC CGL Tier II (08/08/2022) 
 (a)  6150  (b)  5005  ?  ? 
 (c)  4995  (d)  5555  ?  ? 
 SSC MTS 2020 Tier - 1 
 Q.33.  The  pro?t  earned  by  a  company  is 
 to  be  divided  among  three  friends  who 
 invested  their  money  in  the  company,  in 
 the  proportion  of  6  :  9  :  11.  If  the  share  of 
 the  person  who  invested  the  most  is 
 ?2,310,  then  what  is  the  sum  of  the 
 money (in ?) received by the other two 
 friends? 
 SSC MTS 22/10/2021(Morning) 
 (a) 1,890  (b) 3,150  (c) 5,460  (d) 1,260 
 SSC CGL 2020 Tier - 1 
 Q.34.  Keshav,  Surjeet  and  Thomas 
 started  a  business  with  investments  in 
 the  ratio  2  :  3  :  4.  The  ratio  of  their  period 
 of  investments  is  5  :  6  :  9.  Twenty 
 percent  of  the  pro?t  was  spent  on  rent 
 and  maintenance  of  the  o?ce. 
 Remaining  pro?t  was  distributed  among 
 themselves.  If  the  difference  in  the  share 
 of  pro?t  of  Keshav  and  Surjeet  is  Rs.7264 
 then how much is the total pro?t (in Rs.)? 
 SSC CGL 18/08/2021(Evening) 
 (a) 51060 (b) 58112 (c) 46490 (d) 72640 
 SSC CPO 2020 Tier - 1 
 Q.35.  A,  B,  C  subscribe  a  sum  of 
 Rs.75,500  for  a  business.  A  subscribes 
 Rs.3,500  more  than  B,  and  B  subscribes 
 Rs.  4,500  more  than  C.  Out  of  a  total 
 pro?t  of  Rs.45,300  how  much  (in  Rs.) 
 does A receive ? 
 SSC CPO 25/11/2020 (Evening shift) 
 (a) 12,600           (b) 15,000 
 (c) 17,400           (d) 14,700 
 SSC CGL 2019 Tier - 2 
 Q.36.  X  and  Y  enter  into  a  partnership 
 with  capital  in  ratio  3  :  5.  After  5  months 
 X  adds  50%  of  his  capital  ,  while  Y 
 withdraws  60%  of  his  capital.  What  is 
 share  (in  ?  lakhs  )  of  X  in  the  annual 
 pro?t of  ?6.84 lakhs? 
 SSC CGL Tier II (15/11/2020) 
 (a) 3.72  (b) 4.2  (c) 3.6  (d) 3.12 
 Q.37.  Ramesh  started  a  business 
 investing  a  sum  of  ?40,000.  Six  months 
 later,  Kevin  joined  by  investing  ?20,000.  If 
 they  make  a  pro?t  of  ?10,000  at  the  end 
 of year, how much is the share of kevin? 
 SSC CGL Tier II (18/11/2020) 
 (a) ?2,000  (b) ?4,000 
 (c) ?3,000              (d) ?2,500 
 SSC CPO 2019 Tier - 1 
 Q.38.  A,  B  and  C  are  partners  in  a  ?rm 
 sharing  pro?t  in  the  ratio  of  3:4:5.  If  they 
 set  aside  4%  of  the  pro?ts  as  emergency 
 fund  and  shared  the  rest  of  the  pro?t  and 
 B  gets  his  share  of  pro?t  as  Rs.  1,81,400, 
 the  amount  of  pro?t  set  aside  for 
 emergency fund is: 
 SSC CPO 15/03/2019 (Morning) 
 (a) Rs. 27848  (b) Rs.18140 
 (c) Rs.22675  (d) Rs.24500 
 Q.39.  A, B, and C enter into  partnership 
 with  capitals  in  the  ratio  :  :  . 
 2 
 3 
   
 3 
 5 
 5 
 6 
 After  8  months,  A  increases  his  share  of 
 capital  by  25%.  If  at  the  end  of  the  year, 
 the total pro?t earned is Rs 5,820, then 
 the share of C in the pro?t is ? 
 SSC CPO 09/12/2019 (Morning) 
 (a) 2250  (b) 2350   (c) 2050    (d) 2450 
 Q.40.  A  started  a  business  with  a  capital 
 of  ?1,12,000.  After  2  months,  B  joined  the 
 business  with  a  capital  ?  80,000,  and 
 after  another  2  months,  C  joined  the 
 business  with  a  capital  of  ?  72,000.  After 
 10  months  from  the  start  of  the 
 business,  B  withdrew  ?  8,000  and  C  also 
 withdrew  ?  8,000.  If  B  received  ?  9,800 
 as  his  share  in  the  pro?t  at  the  end  of  a 
 year, then the total pro?t was : 
 SSC  CPO 12/12/2019 (Morning) 
 (a) ? 30,800  (b) ? 35,800 
 (c) ? 32,400  (d) ? 33,600 
 Q.41.  A,  B  and  C  are  partners  in  a 
 business.  A,  whose  capital  has  been 
 used  for  5  months,  claims  of  the 
 1 
 7 
 pro?t.  B  whose  capital  has  been  used  for 
 7  months  claims  of  the  pro?t.  C  has 
 1 
 5 
 invested  Rs.  4600  for  9  months.  How 
 much capital did A contribute? 
 SSC  CPO 12/12/2019 (Evening) 
 (a) 1800   (b) 1650   (c) 1600   (d) 1850 
 SSC CGL 2018 Tier - 2 
 Q.42.  A  started  a  business  with  a  capital 
 of  Rs.  54000  and  admitted  B  and  C  after  4 
 months  and  6  months  respectively.  At  the 
 end  of  the  year,  the  pro?t  was  divided  in 
 the  ratio  1  :  4  :  5.  What  is  the  difference 
 between the capitals invested by B and C ? 
 SSC CGL Tier II (11/09/2019) 
 (a) Rs. 1,08,000  (b) Rs. 1,62,000 
 (c) Rs. 2,16,000  (d) Rs. 3,24,000 
 Q.43.  The ratio of investment by A to that 
 by  B  is  a  business  is  14:15  and  the  ratio 
 of  their  respective  pro?ts  at  the  end  of  a 
 year  is  2  :  5.  If  A  invested  the  money  for  3 
 months,  then  for  how  much  time  (in 
 months) B invested his money? 
 SSC CGL Tier II (11/09/2019) 
 (a) 7  (b) 6  (c) 5  (d) 9 
 Answer Key :- 
 1.(a)  2.(b)  3.(a)  4.(c) 
 5.(a)  6.(b)  7.(a)  8.(d) 
 9.(d)  10.(a)  11.(c)  12.(a) 
 13.(d)  14.(b)  15.(b)  16.(b) 
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 Pinnacle  Day: 53rd  Partnership 
 Partnership 
 When  two  or  more  persons  join  hands  for 
 a  business  to  attain  pro?ts  is  called 
 Partnership  and  the  persons  are  called 
 partners  . 
 Types of Partners :- 
 1.  Active  Partners:  The  partner  who 
 manages  the  business  is  known  as 
 Active Partner or working partner. 
 2.  Sleeping  Partner:  A  partner,  who 
 simply  invests  his  money  in  the  business 
 but  does  not  manage  it  voluntarily  is 
 referred as Sleeping partner. 
 Every  partner  invests  some  amount  of 
 money  for  a  certain  time  to  help  the 
 partnership ?rm to get pro?ts. 
 Types of partnership :- 
 1.  Simple  partnership  –  If  all  partners 
 invest  their  different  amounts  of  capital 
 (money)  for  the  same  period  or  the  same 
 capital  for  a  different  period,  then  such  a 
 partnership  is  called  a  simple 
 partnership. 
 2.  Compound  partnership  –  If  all  the 
 partners  invest  their  different  capitals 
 (money)  for  different  periods,  then  such 
 a  partnership  is  called  a  compound 
 partnership. 
 In  Compound  partnership  partners’  pro?t 
 not  only  depends  on  their  investments 
 but also on the time period. 
 Case  1.  When  capital  investment  is  the 
 same for the different time periods :- 
 :  :  =  :  :  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 Ex.1  -  Aftab,  Tarun  and  Aditya  started  a 
 business  by  investing  Rs.  8000  each  .  But 
 after  six  months  Aftab  left  and  after  8 
 months  Tarun  left  .  If  at  the  end  of  the 
 year,  there  was  a  gain  of  Rs.  7800,  then 
 what will be the share of Tarun ? 
 Sol .  Ratio of Pro?t 
 Aftab:   Tarun :  Aditya = 6   :  8   :   12 ?
 Share of Tarun  × 7800 = 2400 Rs. ?
 8 
 26 
 Case 2.  When capital investment  ,  ?? 
 1 
 ?? 
 2 
 and  is different for the different time  ?? 
 3 
 period  ,  and  .  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 :  :  =  :  :  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 ?? 
 1 
 ?? 
 1 
 ?? 
 2 
 ?? 
 2 
 ?? 
 3 
 ?? 
 3 
 Ex.2  -  Aman  and  Bhanu  invest  some 
 amount  in  the  ratio  4  :  5  in  a  business. 
 After  8  months,  Chandan  joins  them  with 
 an  investment  equal  to  thrice  that  of 
 Bhanu  .  In  what  ratio  should  the  yearly 
 pro?t  be  shared  among  Aman  ,  Bhanu 
 and Chandan ? 
 Sol . 
 Ratio  of  pro?t  is  equal  to  the  product  of 
 investment and time of investment . 
 Ratio  Aman : Bhanu  : Chandan ?
 Investment  4     :     5       :     15 ?
 Time  12     :    12     :      4 ?
 --------------------------------------------- 
 Pro?t  48  :    60  :    60   =  4 : 5 : 5 ?
 Ex.3  -  Rajesh  and  Sanjay  are  partners  in 
 a  business  ?rm.  Rajesh  puts  in  Rs.  5000 
 and  Sanjay  puts  in  Rs.  4000.  Rajesh 
 receives  10  %  of  the  pro?t  for  managing 
 the  business  as  he  is  the  active  partner 
 and  the  rest  of  the  pro?t  is  divided  in  the 
 ratio  of  their  capitals.  If  the  total  pro?t  is 
 Rs. 1000, ?nd Rajesh’s total share. 
 Sol . 
 Here  the  investment  time  is  the  same  , 
 then  the  pro?t  will  be  shared  in  the  ratio 
 of their investment . 
 Rajesh gets 10% of total pro?t  as he is 
 active partner  = 100 Rs. ? 1000× 
 10 
 100 
 Remaining Pro?t = 900 Rs. 
 Ratio of Pro?t  5000  :  4000  = 5 : 4 ?
 Rajesh  total share  100 + 500  =  600 Rs. ?
 Variety Questions 
 Q.1.  Nikita  made  two  investments;  she 
 earns  10%  on  one  investment  and  lost 
 20%  on  the  second  investment.  If  the 
 investments  were  in  the  ratio  2  :  3,  then 
 she got a : 
 SSC MTS 05/09/2023 (2nd Shift) 
 (a) loss of 8%  (b) pro?t of 15% 
 (c) pro?t of 8%  (d) loss of 15% 
 Q.2.  A  lady  invests  ?27,600  in  three 
 shares  in  the  ratio  3  :  4  :  5  which  pay 
 dividends  of  20%,  15%  and  5%  on  her 
 investment  for  that  year,  respectively. 
 What is the total dividend? 
 SSC MTS 04/09/2023 (1st Shift) 
 (a) ?3,852  (b) ?3,335 
 (c) ?3,125  (d) ?2,535 
 Q.3.  Swati  starts  a  business  with  ?  4,200 
 and  after  5  months,  Bani  joins  Swati  as 
 her  partner.  After  a  year,  the  pro?t  is 
 divided  among  Swati  and  Bani  in  the  ratio 
 2 : 5. What is Bani's contribution? 
 SSC MTS 01/09/2023 (3rd Shift) 
 (a) ?18,000  (b) ?17,050 
 (c) ?19,000  (d) ?16,500 
 Q.4.  Three  persons  A,  B  and  C  invested 
 some  money  in  a  business.  The  share  of 
 A  is  twice  the  share  of  B,  and  the  share  of 
 B  is  thrice  the  share  of  C.  After  1  year, 
 they  earned  ?6,000.  Find  the  money  A 
 received. 
 SSC CHSL 11/08/2023 (4th Shift) 
 (a) ?3,200  (b) ?3,000 
 (c) ?3,600  (d) ?3,500 
 Q.5.  Three  partners  P ,  Q  and  R  invest  ? 
 1,000,  1,200  and  1,500,  respectively,  in  ?  ? 
 a  business.  What  should  be  the  share  of 
 Q if the total pro?t is  666?  ? 
 SSC CHSL 10/08/2023 (2nd Shift) 
 (a)  216   (b)  275   (c)  252   (d)  284  ?  ?  ?  ? 
 Q.6.  Kapil  initiated  a  business  with  an 
 investment  of  ?30,00,000  in  April  2022. 
 After  six  months,  his  friend  Kunal  joined 
 him  with  an  investment  of  ?25,00,000.  In 
 February  2023,  Kapil's  Ex-Class  fellow 
 Saloni  also  invested  an  amount  equal  to 
 the  total  investment  made  by  the  earlier 
 two  partners.  In  what  ratio  the  pro?t 
 earned  after  3  years  from  the  date  on 
 which  Kapil  initiated  the  business,  will  be 
 distributed ? 
 SSC CHSL 02/08/2023 (4th Shift) 
 (a) 332 : 200 : 50  (b) 108 : 75 : 143 
 (c) 432 : 300 : 55  (d) 432 : 400 : 55 
 Q.7.  X,  Y  and  Z  enter  into  a  partnership.  X 
 invests  some  money  at  the  beginning.  Y 
 invests  thrice  the  amount  of  X  after  4 
 months  and  Z  invest  double  the  amount 
 of  Y  after  9  months  from  the  beginning.  If 
 the  annual  gain  be  Rs.  450000,  then  what 
 is the share of Y ? 
 SSC MTS 08/05/2023 (Morning) 
 (a) Rs. 200000  (b) Rs. 150000 
 (c) Rs. 100000  (d) Rs. 300000 
 Q.8.  P  invested  Rs.  4000  for  one  year.  Q 
 joined  him  with  an  investment  of  Rs. 
 6000  after  a  few  months.  If  at  the  end  of 
 one  year  the  ratio  of  pro?ts  of  P  and  Q  is 
 4  :  3,  then  Q  joined  after  how  many 
 months? 
 SSC CHSL 14/03/2023 (1st Shift) 
 (a) 4 months  (b) 3 months 
 (c) 8 months  (d) 6 months 
 Q.9.  A,  B  and  C  started  a  business  with 
 initial  investments  of  ?  20000,  ?25000 
 and  ?10000,  respectively.  After  5  months 
 from  start,  A  invested  ?  4000  more.  After 
 6  months  from  start,  C  invested  ?  8000 
 more.  After  4  months  from  start,  B 
 withdrew  ?  8000.  At  the  end  of  the  year, 
 they  will  receive  a  pro?t  of  ?  ‘x’.  In  what 
 ratio will they share the pro?ts? 
 SSC CGL Tier II (08/08/2022) 
 (a) 71 : 57 : 42  (b) 71 : 59 : 42 
 (c) 59 : 68 : 42  (d) 67 : 59 : 42 
 Q.10.  A,  B  and  C  started  a  business  with 
 their  capitals  in  the  ratio  2  :  3  :  5.  A 
 increased  his  capital  by  50%  after  4 
 months,  B  increased  his  capital  by  33 
 1 
 3 
 %  after  6  months  and  C  withdrew  50%  of 
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 Pinnacle  Day: 53rd  Partnership 
 his  capital  after  8  months,  from  the  start 
 of  the  business.  If  the  total  pro?t  at  the 
 end  of  a  year  was  Rs.  86,800,  then  the 
 difference  between  the  shares  of  A  and  C 
 in the pro?t was : 
 SSC CGL Tier II (13/09/2019) 
 (a) Rs.12,600  (b) Rs.7,000 
 (c) Rs.9,800            (d) Rs.8,400 
 Q.11.  A,  B  and  C  started  a  business  by 
 investing  Rs  1,37,500  and  Rs  1,62,500 
 and  Rs  1,87,500  respectively.  A  is  a 
 working  partner  and  gets  20%  of  the 
 pro?t  as  working  allowance  and 
 remaining  is  distributed  in  the  proportion 
 of  their  investment.  If  the  total  pro?t  is 
 Rs 2,19,375. What is the share of C? 
 SSC CPO 13/03/2019 (Evening) 
 (a) Rs 88,600  (b) Rs 64,500 
 (c) Rs 67,500  (d) Rs 62,700 
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.12.  A  and  B  enter  into  a  partnership 
 with  ?25,000  and  ?50,000,  respectively,  in 
 a  company  for  a  year.  After  7  months,  C 
 gets  into  a  partnership  with  them  with 
 ?30,000  and  A  withdraws  his  contribution 
 after  9  months.  What  would  be  C's  share 
 in  the  pro?t,  assuming  a  total  pro?t  of 
 ?3,900 at the end of the year? 
 SSC CHSL Tier II  (02/11/2023) 
 (a) ?600  (b) ?800  (c) ?1,200  (d) ?1,000 
 SSC MTS 2023 Tier - 1 
 Q.13.  Arvind,  Bilal.  Carmen  invest 
 ?49,000  towards  a  business.  Arvind 
 invests  ?5,000  more  than  Bilal  and  Bilal 
 invests  ?4,000  more  than  Carmen  Out  of 
 a  total  pro?t  of  ?98,000,  how  much  does 
 Bilal receive? 
 SSC MTS 11/09/2023 (1st Shift) 
 (a) ?34,400  (b) ?33,200 
 (c) ?30,500  (d) ?32,000 
 Q.14.  Mayur  and  Aham  enter  into  a 
 partnership  by  making  investments  in  the 
 ratio  2:  3.  10%  of  the  total  pro?t  goes  to 
 charity.  If  Aham's  share  is  ?4,860,  then 
 what is the total pro?t (in ?) earned? 
 SSC MTS 11/09/2023 (3rd Shift) 
 (a) 7,200 (b) 9,000 (c) 8,500 (d) 11,000 
 Q.15.  A  ,  B  and  C  started  a  business.  A's 
 capital  is  7  times  the  capital  of  C  and  B's 
 capital  is  2  times  the  capital  of  A.  If  the 
 pro?t  is  ?7,920,  then  ?nd  the  share  of  C 
 (in ? ). 
 SSC MTS 13/09/2023 (3rd Shift) 
 (a) 350  (b) 360  (c) 365  (d) 355 
 SSC CHSL 2023 Tier - 1 
 Q.16.  A  is  a  working  partner  and  B  is  a 
 sleeping  partner  in  a  business.  A 
 invested  ?30,000  and  B  invested  ?50,000. 
 A  receives  20%  of  the  pro?t  for  managing 
 the  business  and  the  rest  is  divided  in 
 proportion  to  their  capital.  What  does  B 
 get out of the pro?t of ?10,000? 
 SSC CHSL 02/08/2023 (2nd Shift) 
 (a) ?5,500  (b) ?5,000 
 (c) ?4,500  (d) ?4,000 
 Q.17.  Anam  and  Bikash  invest  in  a 
 business  in  the  ratio  3  :  2.  If  in  a 
 particular  month,  Anam  gets  ?3,840  as 
 pro?t, the total pro?t is: 
 SSC CHSL 04/08/2023 (2nd Shift) 
 (a) ? 5,800  (b) ?6,300 
 (c) ?6,550  (d) ?6,400 
 Q.18.  A,  B  and  C  started  a  business  by 
 investing  ?9,000,  ?18,000  and  ?  21,000, 
 respectively.  If  B's  share  in  the  pro?t 
 earned  by  them  is  ?759,  then  the  total 
 pro?t earned by them together is: 
 SSC CHSL 10/08/2023 (3rd Shift) 
 (a) ?2,808  (b) ?2,024 
 (c) ?2,504  (d) ?2,208 
 SSC CGL 2023 Tier - 1 
 Q.19.  A  and  B  invested  money  in  a 
 business  in  the  ratio  of  7  :  5.  If  15%  of  the 
 total  pro?t  goes  for  charity,  and  A's  share 
 in  the  pro?t  is  Rs.5,950,  then  what  is  the 
 total pro?t? 
 SSC CGL 18/07/2023 (4th shift) 
 (a) Rs.12,500  (b) Rs.12,000 
 (c) Rs.10,500  (d) Rs.11,750 
 SSC Selection Post (Phase - XI) 
 Q.20.  A  starts  a  business  with  ?45,000 
 and  was  joined  afterwards  by  B  with 
 ?30,000.  When  did  B  join  if  the  pro?t  at 
 the  end  of  the  year  was  divided  in  the 
 ratio 2 : 1 ? 
 Matriculation Level 30/06/2023 (Shift - 4) 
 (a) After 6 months      (b) After 12 months 
 (c) After 3 months      (d) After 9 months 
 SSC CHSL 2022 Tier - 2 
 Q.21.  A  and  B  jointly  start  a  business. 
 The  investment  of  A  is  equal  to  seven 
 times  the  investment  of  B.  Find  the  share 
 of  A  (in  ?)  in  the  annual  pro?t  of 
 ?2,75,000. 
 SSC CHSL Tier II (26/06/2023) 
 (a) 2,40,625  (b) 2,45,625 
 (c) 2,42,365  (d) 2,41,225 
 SSC MTS 2022 Tier - 1 
 Q.22.  Rs.1200  are  divided  among  X,  Y 
 and  Z  such  that  Y's  share  is  Rs.200  more 
 than  X's  share.  Y's  share  is  also  Rs.200 
 less than Z's share. The share of Y is: 
 SSC MTS 12/05/2023 (Evening) 
 (a) Rs.200  (b) Rs.600 
 (c) Rs.800  (d) Rs.400 
 Q.23.  A  and  B  enter  into  a  partnership 
 such  that  5  times  of  A's  investment  is 
 equal  to  7  times  of  B's  investment.  If  the 
 total  pro?t  is  Rs.  12000,  then  what  is  the 
 share of A ? 
 SSC MTS 10/05/2023 (Morning) 
 (a) Rs.6300  (b) Rs.7000 
 (c) Rs.8000  (d) Rs.7500 
 Q.24.  A  and  B  started  a  business  with 
 Rs.15000  and  Rs.30000  respectively.  If  A 
 and  B  share  pro?t  in  the  ratio  of  1:  5 
 respectively,  then  what  is  the  ratio  of  the 
 time  period  of  investment  for  A  and  B 
 respectively ? 
 SSC MTS 11/05/2023 (Afternoon) 
 (a) 1 : 2  (b) 2 : 5    (c) 2 : 3  (d) 2 : 7 
 Q.25.  Three  partners  P ,  Q  and  R  invested 
 a  total  of  Rs.  52,000  in  a  business.  At  the 
 end  of  the  year,  P  got  Rs.  1430,  Q  got 
 Rs.1870  and  R  got  Rs.  2420  as  the  share 
 of  pro?t.  How  much  amount  did  Q  invest 
 in the business ? 
 SSC MTS 13/06/2023 (Evening) 
 (a) Rs. 17000  (b) Rs. 20400 
 (c) Rs. 15300  (d) Rs. 18700 
 SSC CHSL 2022 Tier - 1 
 Q.26.  P ,  Q  and  R  are  partners  and  invest 
 in  a  business.  P  invests  th  of  the  total 
 1 
 5 
 investments  and  Q  invests  th  of  the 
 1 
 4 
 total  investments.  What  is  the  ratio  of 
 investments of P , Q and R respectively? 
 SSC CHSL 13/03/2023 (1st Shift) 
 (a) 4 : 8 : 11  (b) 4 : 5 : 11 
 (c) 4 : 7 : 11  (d) 4 : 5 : 9 
 Q.27.  X,  Y  and  Z  invested  Rs.4,000, 
 Rs.6,000  and  Rs.8,000  respectively  in  a 
 business.  They  invested  the  money  for 
 3,2  and  4  years  respectively.  If  the  total 
 pro?t  is  Rs.56,000,  then  what  is  the  share 
 of Y in the pro?t? 
 SSC CHSL 15/03/2023 (2nd Shift) 
 (a) Rs.18,000  (b) Rs.12,000 
 (c) Rs.15,000  (d) Rs.9,000 
 Q.28.  Nikhil  and  Neha  invested  capital  in 
 the  ratio  5  :  4.  The  time  Neha  invested 
 her  money  for  was  one  year  more  than 
 that  invested  by  Nikhil.  The  ratio  of  their 
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 Pinnacle  Day: 53rd  Partnership 
 pro?ts  is  in  the  ratio  6:  5.  Find  the  time 
 Neha invested the money for. 
 SSC CHSL 21/03/2023 (1st Shift) 
 (a) 26 years  (b) 23 years 
 (c) 24 years  (d) 25 years 
 SSC CGL 2022 Tier - 2 
 Q.29.  A,  B  and  C  did  certain  investments 
 and  the  ratio  of  their  time  periods  is  3  :  2  : 
 7  respectively.  Ratio  of  the  pro?ts  of  A,  B 
 and  C  is  4  :  3  :  14  respectively.  What  is  the 
 ratio of the investments of A, B and C ? 
 SSC CGL Tier II (02/03/2023) 
 (a) 1 : 3 : 4  (b) 7 : 9 : 11 
 (c) 8 : 9 : 12  (d) 2 : 3 : 11 
 Q.30.  Suresh,  Dinesh  and  Ramesh 
 became  partners  in  a  business  by 
 investing  money  in  the  ratio  of  3  :  6  :  8.  If 
 their  investments  are  increased  by  5%, 
 15%  and  20%,  respectively,  then  what 
 will  be  the  ratio  of  their  pro?ts  for  one 
 year ? 
 SSC CGL Tier II (03/03/2023) 
 (a) 7 : 46 : 64  (b) 19 : 46 : 64 
 (c) 21 : 46 : 64  (d) 35 : 46 : 64 
 Q.31.  A  starts  a  business  with  ?75,000 
 and  B  joins  the  business  5  months  later 
 with  an  investment  of  ?80,000.  After  1 
 year,  they  earn  a  pro?t  of  ?4,08,800.  Find 
 the share of A and B (in ?). 
 SSC CGL Tier II (07/03/2023) 
 (a) 2,52,000 and 1,56,800 
 (b) 2,50,000 and 1,58,800 
 (c) 2,48,000 and 1,60,800 
 (d) 2,49,500 and 1,59,300 
 SSC CGL 2021 Tier - 2 
 Q.32.  A,B  and  C  started  a  business  with 
 the  investment  of  100000  ,  140000  ,  ?  ?  ? 
 200000  respectively.  After  3  months,  C 
 left  the  business,  7  months  after  C  left 
 the  business,  B  also  left  the  business.  B 
 and  C  took  their  investment  with  them.  At 
 the  end  of  the  year,  C  received  his  share 
 of  pro?t  as  1155.  What  is  the  total  ? 
 share of pro?ts of A and B ? 
 SSC CGL Tier II (08/08/2022) 
 (a)  6150  (b)  5005  ?  ? 
 (c)  4995  (d)  5555  ?  ? 
 SSC MTS 2020 Tier - 1 
 Q.33.  The  pro?t  earned  by  a  company  is 
 to  be  divided  among  three  friends  who 
 invested  their  money  in  the  company,  in 
 the  proportion  of  6  :  9  :  11.  If  the  share  of 
 the  person  who  invested  the  most  is 
 ?2,310,  then  what  is  the  sum  of  the 
 money (in ?) received by the other two 
 friends? 
 SSC MTS 22/10/2021(Morning) 
 (a) 1,890  (b) 3,150  (c) 5,460  (d) 1,260 
 SSC CGL 2020 Tier - 1 
 Q.34.  Keshav,  Surjeet  and  Thomas 
 started  a  business  with  investments  in 
 the  ratio  2  :  3  :  4.  The  ratio  of  their  period 
 of  investments  is  5  :  6  :  9.  Twenty 
 percent  of  the  pro?t  was  spent  on  rent 
 and  maintenance  of  the  o?ce. 
 Remaining  pro?t  was  distributed  among 
 themselves.  If  the  difference  in  the  share 
 of  pro?t  of  Keshav  and  Surjeet  is  Rs.7264 
 then how much is the total pro?t (in Rs.)? 
 SSC CGL 18/08/2021(Evening) 
 (a) 51060 (b) 58112 (c) 46490 (d) 72640 
 SSC CPO 2020 Tier - 1 
 Q.35.  A,  B,  C  subscribe  a  sum  of 
 Rs.75,500  for  a  business.  A  subscribes 
 Rs.3,500  more  than  B,  and  B  subscribes 
 Rs.  4,500  more  than  C.  Out  of  a  total 
 pro?t  of  Rs.45,300  how  much  (in  Rs.) 
 does A receive ? 
 SSC CPO 25/11/2020 (Evening shift) 
 (a) 12,600           (b) 15,000 
 (c) 17,400           (d) 14,700 
 SSC CGL 2019 Tier - 2 
 Q.36.  X  and  Y  enter  into  a  partnership 
 with  capital  in  ratio  3  :  5.  After  5  months 
 X  adds  50%  of  his  capital  ,  while  Y 
 withdraws  60%  of  his  capital.  What  is 
 share  (in  ?  lakhs  )  of  X  in  the  annual 
 pro?t of  ?6.84 lakhs? 
 SSC CGL Tier II (15/11/2020) 
 (a) 3.72  (b) 4.2  (c) 3.6  (d) 3.12 
 Q.37.  Ramesh  started  a  business 
 investing  a  sum  of  ?40,000.  Six  months 
 later,  Kevin  joined  by  investing  ?20,000.  If 
 they  make  a  pro?t  of  ?10,000  at  the  end 
 of year, how much is the share of kevin? 
 SSC CGL Tier II (18/11/2020) 
 (a) ?2,000  (b) ?4,000 
 (c) ?3,000              (d) ?2,500 
 SSC CPO 2019 Tier - 1 
 Q.38.  A,  B  and  C  are  partners  in  a  ?rm 
 sharing  pro?t  in  the  ratio  of  3:4:5.  If  they 
 set  aside  4%  of  the  pro?ts  as  emergency 
 fund  and  shared  the  rest  of  the  pro?t  and 
 B  gets  his  share  of  pro?t  as  Rs.  1,81,400, 
 the  amount  of  pro?t  set  aside  for 
 emergency fund is: 
 SSC CPO 15/03/2019 (Morning) 
 (a) Rs. 27848  (b) Rs.18140 
 (c) Rs.22675  (d) Rs.24500 
 Q.39.  A, B, and C enter into  partnership 
 with  capitals  in  the  ratio  :  :  . 
 2 
 3 
   
 3 
 5 
 5 
 6 
 After  8  months,  A  increases  his  share  of 
 capital  by  25%.  If  at  the  end  of  the  year, 
 the total pro?t earned is Rs 5,820, then 
 the share of C in the pro?t is ? 
 SSC CPO 09/12/2019 (Morning) 
 (a) 2250  (b) 2350   (c) 2050    (d) 2450 
 Q.40.  A  started  a  business  with  a  capital 
 of  ?1,12,000.  After  2  months,  B  joined  the 
 business  with  a  capital  ?  80,000,  and 
 after  another  2  months,  C  joined  the 
 business  with  a  capital  of  ?  72,000.  After 
 10  months  from  the  start  of  the 
 business,  B  withdrew  ?  8,000  and  C  also 
 withdrew  ?  8,000.  If  B  received  ?  9,800 
 as  his  share  in  the  pro?t  at  the  end  of  a 
 year, then the total pro?t was : 
 SSC  CPO 12/12/2019 (Morning) 
 (a) ? 30,800  (b) ? 35,800 
 (c) ? 32,400  (d) ? 33,600 
 Q.41.  A,  B  and  C  are  partners  in  a 
 business.  A,  whose  capital  has  been 
 used  for  5  months,  claims  of  the 
 1 
 7 
 pro?t.  B  whose  capital  has  been  used  for 
 7  months  claims  of  the  pro?t.  C  has 
 1 
 5 
 invested  Rs.  4600  for  9  months.  How 
 much capital did A contribute? 
 SSC  CPO 12/12/2019 (Evening) 
 (a) 1800   (b) 1650   (c) 1600   (d) 1850 
 SSC CGL 2018 Tier - 2 
 Q.42.  A  started  a  business  with  a  capital 
 of  Rs.  54000  and  admitted  B  and  C  after  4 
 months  and  6  months  respectively.  At  the 
 end  of  the  year,  the  pro?t  was  divided  in 
 the  ratio  1  :  4  :  5.  What  is  the  difference 
 between the capitals invested by B and C ? 
 SSC CGL Tier II (11/09/2019) 
 (a) Rs. 1,08,000  (b) Rs. 1,62,000 
 (c) Rs. 2,16,000  (d) Rs. 3,24,000 
 Q.43.  The ratio of investment by A to that 
 by  B  is  a  business  is  14:15  and  the  ratio 
 of  their  respective  pro?ts  at  the  end  of  a 
 year  is  2  :  5.  If  A  invested  the  money  for  3 
 months,  then  for  how  much  time  (in 
 months) B invested his money? 
 SSC CGL Tier II (11/09/2019) 
 (a) 7  (b) 6  (c) 5  (d) 9 
 Answer Key :- 
 1.(a)  2.(b)  3.(a)  4.(c) 
 5.(a)  6.(b)  7.(a)  8.(d) 
 9.(d)  10.(a)  11.(c)  12.(a) 
 13.(d)  14.(b)  15.(b)  16.(b) 
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 Pinnacle  Day: 53rd  Partnership 
 17.(d)  18.(b)  19.(b)  20.(c) 
 21.(a)  22.(d)  23.(b)  24.(b) 
 25.(a)  26.(b)  27.(b)  28.(d) 
 29.(c)  30.(c)  31.(a)  32.(b) 
 33.(b)  34.(d)  35.(c)  36.(a) 
 37.(a)  38.(c)  39.(a)  40.(d) 
 41.(a)  42.(c)  43.(a) 
 Solutions :- 
 Sol.1.(a) 
 Let the investment 200 and 300 units 
 According to the question, 
 200 ×  = 220 units 
 11 
 10 
 300 ×  = 240 units 
 4 
 5 
 Total investment = 200 + 300 = 500 units 
 Total earning = 220 + 240 = 460 units 
 Loss % =  × 100 = 8 % 
 500    -    460 
 500 
 Sol.2.(b)  Amount invested in ?rst share 
 = 27,600  = 6900 ×
 3 
 12 
 Amount invested in second share 
 = 27,600  = 9200 ×
 4 
 12 
 Amount invested in third share 
 = 27,600  = 11500 ×
 5 
 12 
 Total  dividend  =  6900  +  9200 ×
 1 
 5 
×
 3 
 20 
 + 11500  = ?3,335 ×
 1 
 20 
 Sol.3.(a)  Let Bani’s contribution is  ?? 
 4200  12 :  7 = 2 : 5 × ?? ×
 =  = ?18000  ?? 
 4200       ×    12    ×    5 
 7    ×    2 
 Sol.4.(c)  Let the investment of C = Rs. x 
 B’s  investment  =  Rs.  3x  then  A’s 
 investment = Rs. 6x 
 Since, they invest their money for 1 year, 
 Their pro?t ratio = 6 : 3 : 1 
 Hence, money received by A 
 =  = Rs. 3,600 
 6 
 10 
 ×  6000 
 Sol.5.(a)  Investment time is the same , 
 So ratio of investment is equal to the 
 ratio of pro?t . 
 Their investment ratio :- 
 P : Q : R  = 10 : 12 : 15 
 Share of Q =  = 18 × 12 = ?216  666     ×    
 12 
 37 
 Sol.6.(b)  Ratio =  kapil : kunal  :  saloni 
 Amount =   30    :   25     :   55 
 Time =    36   :   30     :   26 
 --------------------------------------------- 
 Pro?t =  108 :   75     :  143 
 Sol.7.(a) 
 Ratio  X    :      Y       :     Z ?
 pro?t  × 12  :  3  × 8  :  6  × 3 ? ??  ??  ?? 
 Total pro?t = 12  + 24  + 18  = 54  ??  ??  ??  ?? 
 54  = ? 450000  ?? 
 Share of Y (24  ) =  × 24  ?? 
 450000 
 54  ?? 
 ?? 
 = ? 200000 
 Sol.8.(d) 
 Ratio  P     :     Q ?
 Investment        4     :     6 
 Time                   1     :     x 
 ------------------------------------------- 
 Pro?t  4     :    3 ?
 Let Q joined for x year 
 As we know pro?t = investment × time 
 Then, 4 × 1 : 6 × x = 4 : 3  = ?
 4 
 6  ?? 
 4 
 3 
 x =  = ?
 3 
 6 
 1 
 2 
 Here,  Q  joined  for  6  months  then,  Q 
 joined after (12 - 6) = 6 month 
 Sol.9.(d)  Total amount invested by A 
 = 20000 × 5 + (20000 + 4000) × 7 
 = 100000 + 168000 = 268000 
 Total amount invested by B 
 = 25000 × 4 + (25000 - 8000) × 8 
 = 100000 + 136000 = 236000 
 Total amount invested by C 
 = 10000 × 6 + (10000 + 8000) × 6 
 = 60000 + 108000 = 168000 
 So, the ratio of their pro?t 
 = 268 : 236 : 168 =  67 : 59 : 42 
 Sol.10.(a)  50% =  ,  33  % = 
 1 
 2 
 1 
 3 
 1 
 3 
 Ratio  A    :      B       :    C ?
 Initial  2 × 4    :    3 × 6   :  5 × 8 ?
 Final  3 × 8   :    4 × 6   :  2.5 × 4 ?
 ------------------------------- 
 Pro?t  32   :      42     :    50 ?
 Total Pro?t (32 + 42 + 50) = 124 units 
 124 units  = 86800 Rs. 
 1 unit  = 700 Rs. 
 Difference b/w share of A and C ?
 (50  32) units  = 18 units -
 18 units = 18 × 700 = 12600 Rs. 
 Sol.11.(c) 
 Ratio  A          :       B      :  C ?
 Investment  137500 : 162500 : 187500 ?
 11        :      13     :   15 
 Therefore, C’s share :- 
 219375  =  Rs. ×
 4 
 5 
×
 15 
 39 
 67500 
 Sol.12.(a) 
 Ratio of their money contribution 
 A : B : C  = 5 : 10 : 6 
 Ratio of their time 
 A : B : C = 9 : 12 : 5 
 ? Ratio of their pro?t = 45 : 120 : 30 
 =  3  :   8    :  2 
 Hence, 
 C’s share in pro?t =  × 2 = 600 
 3900 
 13 
   
 Sol.13.(d)  Let investment of Bilal be  ?? 
 According to the question, 
 + (  + 5000) + (  4000) = 49000  ??  ??  ?? -
 = 48000 ,  = 16000  3  ??  ?? 
 Then, investment of Bilal : Arvind : Carmen 
 =  16000 : 21000 : 12000 
 =     16     :    21     :    12 
 Share of pro?t of Bilal 
 =  =  ?32,000 
 98000 
 16    +    21    +    12 
 ×     16 
 Sol.14.(b)  Let the total pro?t is ?  ?? 
 According to the question, 
 = ?4860  ?? ×
 9 
 10 
×
 3 
 5 
 = ?9,000 ? ?? 
 Sol.15.(b)  Concept  :-  pro?t  is  divided  in 
 the ratio of capital 
 Ratio of pro?t of A , B , and C = 7 : 14 : 1 
 Share of C = 7920  = 360 ×
 1 
( 7    +    14    +    1 )
 Sol.16.(b)  A  receive  20%  of  the  pro?t  for 
 managing the business . 
 Remaining  pro?t  excluding  A’s  managing 
 pro?t = 10,000 × 80% = 8,000 
 B’s pro?t = 8,000 ×  = 5,000 Rs. 
 5 
 8 
 Sol.17.(d)  3 units  = 3840 ? 
 Total pro?t (5 units) =  = 6400 ? 
 3840 
 3 
 ×     5 
 Sol.18.(b)  Their  investment  time  is  same 
 ,  so  the  ratio  of  pro?t  is  equal  to  the  ratio 
 of investment. 
 Ratio of investment :- 
 A : B : C  =  3  :  6  :  7 
 B’s share of pro?t (6 units) = ?759 
 Total pro?t (16 units) = 
 759 
 6 
 ×  16 
 = 253 × 8 = ?2024 
 Sol.19.(b)  Let  the  investment  of  A  and  B 
 be 7  and 5  .  ??  ?? 
 If  investment  time  is  equal  ,  then  the  ratio 
 of  pro?t  is  equal  to  the  ratio  of 
 investment . 
 According to the question, 
 7  = 5950 Rs.  ?? 
 12  = 5950 ×  = 10200 Rs.  ?? 
 12 
 7 
 Total pro?t = 10200  × 
 100 
( 100    -       15 )
 = 12000 Rs. 
 Sol.20.(c) 
 Ratio  A    :     B ?
 Investment  3    :      2 ?
 Time  12   : ? ?? 
 -------------------------------------- 
 Pro?t  2     :     1 ?
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Page 5


 Pinnacle  Day: 53rd  Partnership 
 Partnership 
 When  two  or  more  persons  join  hands  for 
 a  business  to  attain  pro?ts  is  called 
 Partnership  and  the  persons  are  called 
 partners  . 
 Types of Partners :- 
 1.  Active  Partners:  The  partner  who 
 manages  the  business  is  known  as 
 Active Partner or working partner. 
 2.  Sleeping  Partner:  A  partner,  who 
 simply  invests  his  money  in  the  business 
 but  does  not  manage  it  voluntarily  is 
 referred as Sleeping partner. 
 Every  partner  invests  some  amount  of 
 money  for  a  certain  time  to  help  the 
 partnership ?rm to get pro?ts. 
 Types of partnership :- 
 1.  Simple  partnership  –  If  all  partners 
 invest  their  different  amounts  of  capital 
 (money)  for  the  same  period  or  the  same 
 capital  for  a  different  period,  then  such  a 
 partnership  is  called  a  simple 
 partnership. 
 2.  Compound  partnership  –  If  all  the 
 partners  invest  their  different  capitals 
 (money)  for  different  periods,  then  such 
 a  partnership  is  called  a  compound 
 partnership. 
 In  Compound  partnership  partners’  pro?t 
 not  only  depends  on  their  investments 
 but also on the time period. 
 Case  1.  When  capital  investment  is  the 
 same for the different time periods :- 
 :  :  =  :  :  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 Ex.1  -  Aftab,  Tarun  and  Aditya  started  a 
 business  by  investing  Rs.  8000  each  .  But 
 after  six  months  Aftab  left  and  after  8 
 months  Tarun  left  .  If  at  the  end  of  the 
 year,  there  was  a  gain  of  Rs.  7800,  then 
 what will be the share of Tarun ? 
 Sol .  Ratio of Pro?t 
 Aftab:   Tarun :  Aditya = 6   :  8   :   12 ?
 Share of Tarun  × 7800 = 2400 Rs. ?
 8 
 26 
 Case 2.  When capital investment  ,  ?? 
 1 
 ?? 
 2 
 and  is different for the different time  ?? 
 3 
 period  ,  and  .  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 :  :  =  :  :  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 ?? 
 1 
 ?? 
 1 
 ?? 
 2 
 ?? 
 2 
 ?? 
 3 
 ?? 
 3 
 Ex.2  -  Aman  and  Bhanu  invest  some 
 amount  in  the  ratio  4  :  5  in  a  business. 
 After  8  months,  Chandan  joins  them  with 
 an  investment  equal  to  thrice  that  of 
 Bhanu  .  In  what  ratio  should  the  yearly 
 pro?t  be  shared  among  Aman  ,  Bhanu 
 and Chandan ? 
 Sol . 
 Ratio  of  pro?t  is  equal  to  the  product  of 
 investment and time of investment . 
 Ratio  Aman : Bhanu  : Chandan ?
 Investment  4     :     5       :     15 ?
 Time  12     :    12     :      4 ?
 --------------------------------------------- 
 Pro?t  48  :    60  :    60   =  4 : 5 : 5 ?
 Ex.3  -  Rajesh  and  Sanjay  are  partners  in 
 a  business  ?rm.  Rajesh  puts  in  Rs.  5000 
 and  Sanjay  puts  in  Rs.  4000.  Rajesh 
 receives  10  %  of  the  pro?t  for  managing 
 the  business  as  he  is  the  active  partner 
 and  the  rest  of  the  pro?t  is  divided  in  the 
 ratio  of  their  capitals.  If  the  total  pro?t  is 
 Rs. 1000, ?nd Rajesh’s total share. 
 Sol . 
 Here  the  investment  time  is  the  same  , 
 then  the  pro?t  will  be  shared  in  the  ratio 
 of their investment . 
 Rajesh gets 10% of total pro?t  as he is 
 active partner  = 100 Rs. ? 1000× 
 10 
 100 
 Remaining Pro?t = 900 Rs. 
 Ratio of Pro?t  5000  :  4000  = 5 : 4 ?
 Rajesh  total share  100 + 500  =  600 Rs. ?
 Variety Questions 
 Q.1.  Nikita  made  two  investments;  she 
 earns  10%  on  one  investment  and  lost 
 20%  on  the  second  investment.  If  the 
 investments  were  in  the  ratio  2  :  3,  then 
 she got a : 
 SSC MTS 05/09/2023 (2nd Shift) 
 (a) loss of 8%  (b) pro?t of 15% 
 (c) pro?t of 8%  (d) loss of 15% 
 Q.2.  A  lady  invests  ?27,600  in  three 
 shares  in  the  ratio  3  :  4  :  5  which  pay 
 dividends  of  20%,  15%  and  5%  on  her 
 investment  for  that  year,  respectively. 
 What is the total dividend? 
 SSC MTS 04/09/2023 (1st Shift) 
 (a) ?3,852  (b) ?3,335 
 (c) ?3,125  (d) ?2,535 
 Q.3.  Swati  starts  a  business  with  ?  4,200 
 and  after  5  months,  Bani  joins  Swati  as 
 her  partner.  After  a  year,  the  pro?t  is 
 divided  among  Swati  and  Bani  in  the  ratio 
 2 : 5. What is Bani's contribution? 
 SSC MTS 01/09/2023 (3rd Shift) 
 (a) ?18,000  (b) ?17,050 
 (c) ?19,000  (d) ?16,500 
 Q.4.  Three  persons  A,  B  and  C  invested 
 some  money  in  a  business.  The  share  of 
 A  is  twice  the  share  of  B,  and  the  share  of 
 B  is  thrice  the  share  of  C.  After  1  year, 
 they  earned  ?6,000.  Find  the  money  A 
 received. 
 SSC CHSL 11/08/2023 (4th Shift) 
 (a) ?3,200  (b) ?3,000 
 (c) ?3,600  (d) ?3,500 
 Q.5.  Three  partners  P ,  Q  and  R  invest  ? 
 1,000,  1,200  and  1,500,  respectively,  in  ?  ? 
 a  business.  What  should  be  the  share  of 
 Q if the total pro?t is  666?  ? 
 SSC CHSL 10/08/2023 (2nd Shift) 
 (a)  216   (b)  275   (c)  252   (d)  284  ?  ?  ?  ? 
 Q.6.  Kapil  initiated  a  business  with  an 
 investment  of  ?30,00,000  in  April  2022. 
 After  six  months,  his  friend  Kunal  joined 
 him  with  an  investment  of  ?25,00,000.  In 
 February  2023,  Kapil's  Ex-Class  fellow 
 Saloni  also  invested  an  amount  equal  to 
 the  total  investment  made  by  the  earlier 
 two  partners.  In  what  ratio  the  pro?t 
 earned  after  3  years  from  the  date  on 
 which  Kapil  initiated  the  business,  will  be 
 distributed ? 
 SSC CHSL 02/08/2023 (4th Shift) 
 (a) 332 : 200 : 50  (b) 108 : 75 : 143 
 (c) 432 : 300 : 55  (d) 432 : 400 : 55 
 Q.7.  X,  Y  and  Z  enter  into  a  partnership.  X 
 invests  some  money  at  the  beginning.  Y 
 invests  thrice  the  amount  of  X  after  4 
 months  and  Z  invest  double  the  amount 
 of  Y  after  9  months  from  the  beginning.  If 
 the  annual  gain  be  Rs.  450000,  then  what 
 is the share of Y ? 
 SSC MTS 08/05/2023 (Morning) 
 (a) Rs. 200000  (b) Rs. 150000 
 (c) Rs. 100000  (d) Rs. 300000 
 Q.8.  P  invested  Rs.  4000  for  one  year.  Q 
 joined  him  with  an  investment  of  Rs. 
 6000  after  a  few  months.  If  at  the  end  of 
 one  year  the  ratio  of  pro?ts  of  P  and  Q  is 
 4  :  3,  then  Q  joined  after  how  many 
 months? 
 SSC CHSL 14/03/2023 (1st Shift) 
 (a) 4 months  (b) 3 months 
 (c) 8 months  (d) 6 months 
 Q.9.  A,  B  and  C  started  a  business  with 
 initial  investments  of  ?  20000,  ?25000 
 and  ?10000,  respectively.  After  5  months 
 from  start,  A  invested  ?  4000  more.  After 
 6  months  from  start,  C  invested  ?  8000 
 more.  After  4  months  from  start,  B 
 withdrew  ?  8000.  At  the  end  of  the  year, 
 they  will  receive  a  pro?t  of  ?  ‘x’.  In  what 
 ratio will they share the pro?ts? 
 SSC CGL Tier II (08/08/2022) 
 (a) 71 : 57 : 42  (b) 71 : 59 : 42 
 (c) 59 : 68 : 42  (d) 67 : 59 : 42 
 Q.10.  A,  B  and  C  started  a  business  with 
 their  capitals  in  the  ratio  2  :  3  :  5.  A 
 increased  his  capital  by  50%  after  4 
 months,  B  increased  his  capital  by  33 
 1 
 3 
 %  after  6  months  and  C  withdrew  50%  of 
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 Pinnacle  Day: 53rd  Partnership 
 his  capital  after  8  months,  from  the  start 
 of  the  business.  If  the  total  pro?t  at  the 
 end  of  a  year  was  Rs.  86,800,  then  the 
 difference  between  the  shares  of  A  and  C 
 in the pro?t was : 
 SSC CGL Tier II (13/09/2019) 
 (a) Rs.12,600  (b) Rs.7,000 
 (c) Rs.9,800            (d) Rs.8,400 
 Q.11.  A,  B  and  C  started  a  business  by 
 investing  Rs  1,37,500  and  Rs  1,62,500 
 and  Rs  1,87,500  respectively.  A  is  a 
 working  partner  and  gets  20%  of  the 
 pro?t  as  working  allowance  and 
 remaining  is  distributed  in  the  proportion 
 of  their  investment.  If  the  total  pro?t  is 
 Rs 2,19,375. What is the share of C? 
 SSC CPO 13/03/2019 (Evening) 
 (a) Rs 88,600  (b) Rs 64,500 
 (c) Rs 67,500  (d) Rs 62,700 
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.12.  A  and  B  enter  into  a  partnership 
 with  ?25,000  and  ?50,000,  respectively,  in 
 a  company  for  a  year.  After  7  months,  C 
 gets  into  a  partnership  with  them  with 
 ?30,000  and  A  withdraws  his  contribution 
 after  9  months.  What  would  be  C's  share 
 in  the  pro?t,  assuming  a  total  pro?t  of 
 ?3,900 at the end of the year? 
 SSC CHSL Tier II  (02/11/2023) 
 (a) ?600  (b) ?800  (c) ?1,200  (d) ?1,000 
 SSC MTS 2023 Tier - 1 
 Q.13.  Arvind,  Bilal.  Carmen  invest 
 ?49,000  towards  a  business.  Arvind 
 invests  ?5,000  more  than  Bilal  and  Bilal 
 invests  ?4,000  more  than  Carmen  Out  of 
 a  total  pro?t  of  ?98,000,  how  much  does 
 Bilal receive? 
 SSC MTS 11/09/2023 (1st Shift) 
 (a) ?34,400  (b) ?33,200 
 (c) ?30,500  (d) ?32,000 
 Q.14.  Mayur  and  Aham  enter  into  a 
 partnership  by  making  investments  in  the 
 ratio  2:  3.  10%  of  the  total  pro?t  goes  to 
 charity.  If  Aham's  share  is  ?4,860,  then 
 what is the total pro?t (in ?) earned? 
 SSC MTS 11/09/2023 (3rd Shift) 
 (a) 7,200 (b) 9,000 (c) 8,500 (d) 11,000 
 Q.15.  A  ,  B  and  C  started  a  business.  A's 
 capital  is  7  times  the  capital  of  C  and  B's 
 capital  is  2  times  the  capital  of  A.  If  the 
 pro?t  is  ?7,920,  then  ?nd  the  share  of  C 
 (in ? ). 
 SSC MTS 13/09/2023 (3rd Shift) 
 (a) 350  (b) 360  (c) 365  (d) 355 
 SSC CHSL 2023 Tier - 1 
 Q.16.  A  is  a  working  partner  and  B  is  a 
 sleeping  partner  in  a  business.  A 
 invested  ?30,000  and  B  invested  ?50,000. 
 A  receives  20%  of  the  pro?t  for  managing 
 the  business  and  the  rest  is  divided  in 
 proportion  to  their  capital.  What  does  B 
 get out of the pro?t of ?10,000? 
 SSC CHSL 02/08/2023 (2nd Shift) 
 (a) ?5,500  (b) ?5,000 
 (c) ?4,500  (d) ?4,000 
 Q.17.  Anam  and  Bikash  invest  in  a 
 business  in  the  ratio  3  :  2.  If  in  a 
 particular  month,  Anam  gets  ?3,840  as 
 pro?t, the total pro?t is: 
 SSC CHSL 04/08/2023 (2nd Shift) 
 (a) ? 5,800  (b) ?6,300 
 (c) ?6,550  (d) ?6,400 
 Q.18.  A,  B  and  C  started  a  business  by 
 investing  ?9,000,  ?18,000  and  ?  21,000, 
 respectively.  If  B's  share  in  the  pro?t 
 earned  by  them  is  ?759,  then  the  total 
 pro?t earned by them together is: 
 SSC CHSL 10/08/2023 (3rd Shift) 
 (a) ?2,808  (b) ?2,024 
 (c) ?2,504  (d) ?2,208 
 SSC CGL 2023 Tier - 1 
 Q.19.  A  and  B  invested  money  in  a 
 business  in  the  ratio  of  7  :  5.  If  15%  of  the 
 total  pro?t  goes  for  charity,  and  A's  share 
 in  the  pro?t  is  Rs.5,950,  then  what  is  the 
 total pro?t? 
 SSC CGL 18/07/2023 (4th shift) 
 (a) Rs.12,500  (b) Rs.12,000 
 (c) Rs.10,500  (d) Rs.11,750 
 SSC Selection Post (Phase - XI) 
 Q.20.  A  starts  a  business  with  ?45,000 
 and  was  joined  afterwards  by  B  with 
 ?30,000.  When  did  B  join  if  the  pro?t  at 
 the  end  of  the  year  was  divided  in  the 
 ratio 2 : 1 ? 
 Matriculation Level 30/06/2023 (Shift - 4) 
 (a) After 6 months      (b) After 12 months 
 (c) After 3 months      (d) After 9 months 
 SSC CHSL 2022 Tier - 2 
 Q.21.  A  and  B  jointly  start  a  business. 
 The  investment  of  A  is  equal  to  seven 
 times  the  investment  of  B.  Find  the  share 
 of  A  (in  ?)  in  the  annual  pro?t  of 
 ?2,75,000. 
 SSC CHSL Tier II (26/06/2023) 
 (a) 2,40,625  (b) 2,45,625 
 (c) 2,42,365  (d) 2,41,225 
 SSC MTS 2022 Tier - 1 
 Q.22.  Rs.1200  are  divided  among  X,  Y 
 and  Z  such  that  Y's  share  is  Rs.200  more 
 than  X's  share.  Y's  share  is  also  Rs.200 
 less than Z's share. The share of Y is: 
 SSC MTS 12/05/2023 (Evening) 
 (a) Rs.200  (b) Rs.600 
 (c) Rs.800  (d) Rs.400 
 Q.23.  A  and  B  enter  into  a  partnership 
 such  that  5  times  of  A's  investment  is 
 equal  to  7  times  of  B's  investment.  If  the 
 total  pro?t  is  Rs.  12000,  then  what  is  the 
 share of A ? 
 SSC MTS 10/05/2023 (Morning) 
 (a) Rs.6300  (b) Rs.7000 
 (c) Rs.8000  (d) Rs.7500 
 Q.24.  A  and  B  started  a  business  with 
 Rs.15000  and  Rs.30000  respectively.  If  A 
 and  B  share  pro?t  in  the  ratio  of  1:  5 
 respectively,  then  what  is  the  ratio  of  the 
 time  period  of  investment  for  A  and  B 
 respectively ? 
 SSC MTS 11/05/2023 (Afternoon) 
 (a) 1 : 2  (b) 2 : 5    (c) 2 : 3  (d) 2 : 7 
 Q.25.  Three  partners  P ,  Q  and  R  invested 
 a  total  of  Rs.  52,000  in  a  business.  At  the 
 end  of  the  year,  P  got  Rs.  1430,  Q  got 
 Rs.1870  and  R  got  Rs.  2420  as  the  share 
 of  pro?t.  How  much  amount  did  Q  invest 
 in the business ? 
 SSC MTS 13/06/2023 (Evening) 
 (a) Rs. 17000  (b) Rs. 20400 
 (c) Rs. 15300  (d) Rs. 18700 
 SSC CHSL 2022 Tier - 1 
 Q.26.  P ,  Q  and  R  are  partners  and  invest 
 in  a  business.  P  invests  th  of  the  total 
 1 
 5 
 investments  and  Q  invests  th  of  the 
 1 
 4 
 total  investments.  What  is  the  ratio  of 
 investments of P , Q and R respectively? 
 SSC CHSL 13/03/2023 (1st Shift) 
 (a) 4 : 8 : 11  (b) 4 : 5 : 11 
 (c) 4 : 7 : 11  (d) 4 : 5 : 9 
 Q.27.  X,  Y  and  Z  invested  Rs.4,000, 
 Rs.6,000  and  Rs.8,000  respectively  in  a 
 business.  They  invested  the  money  for 
 3,2  and  4  years  respectively.  If  the  total 
 pro?t  is  Rs.56,000,  then  what  is  the  share 
 of Y in the pro?t? 
 SSC CHSL 15/03/2023 (2nd Shift) 
 (a) Rs.18,000  (b) Rs.12,000 
 (c) Rs.15,000  (d) Rs.9,000 
 Q.28.  Nikhil  and  Neha  invested  capital  in 
 the  ratio  5  :  4.  The  time  Neha  invested 
 her  money  for  was  one  year  more  than 
 that  invested  by  Nikhil.  The  ratio  of  their 
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 pro?ts  is  in  the  ratio  6:  5.  Find  the  time 
 Neha invested the money for. 
 SSC CHSL 21/03/2023 (1st Shift) 
 (a) 26 years  (b) 23 years 
 (c) 24 years  (d) 25 years 
 SSC CGL 2022 Tier - 2 
 Q.29.  A,  B  and  C  did  certain  investments 
 and  the  ratio  of  their  time  periods  is  3  :  2  : 
 7  respectively.  Ratio  of  the  pro?ts  of  A,  B 
 and  C  is  4  :  3  :  14  respectively.  What  is  the 
 ratio of the investments of A, B and C ? 
 SSC CGL Tier II (02/03/2023) 
 (a) 1 : 3 : 4  (b) 7 : 9 : 11 
 (c) 8 : 9 : 12  (d) 2 : 3 : 11 
 Q.30.  Suresh,  Dinesh  and  Ramesh 
 became  partners  in  a  business  by 
 investing  money  in  the  ratio  of  3  :  6  :  8.  If 
 their  investments  are  increased  by  5%, 
 15%  and  20%,  respectively,  then  what 
 will  be  the  ratio  of  their  pro?ts  for  one 
 year ? 
 SSC CGL Tier II (03/03/2023) 
 (a) 7 : 46 : 64  (b) 19 : 46 : 64 
 (c) 21 : 46 : 64  (d) 35 : 46 : 64 
 Q.31.  A  starts  a  business  with  ?75,000 
 and  B  joins  the  business  5  months  later 
 with  an  investment  of  ?80,000.  After  1 
 year,  they  earn  a  pro?t  of  ?4,08,800.  Find 
 the share of A and B (in ?). 
 SSC CGL Tier II (07/03/2023) 
 (a) 2,52,000 and 1,56,800 
 (b) 2,50,000 and 1,58,800 
 (c) 2,48,000 and 1,60,800 
 (d) 2,49,500 and 1,59,300 
 SSC CGL 2021 Tier - 2 
 Q.32.  A,B  and  C  started  a  business  with 
 the  investment  of  100000  ,  140000  ,  ?  ?  ? 
 200000  respectively.  After  3  months,  C 
 left  the  business,  7  months  after  C  left 
 the  business,  B  also  left  the  business.  B 
 and  C  took  their  investment  with  them.  At 
 the  end  of  the  year,  C  received  his  share 
 of  pro?t  as  1155.  What  is  the  total  ? 
 share of pro?ts of A and B ? 
 SSC CGL Tier II (08/08/2022) 
 (a)  6150  (b)  5005  ?  ? 
 (c)  4995  (d)  5555  ?  ? 
 SSC MTS 2020 Tier - 1 
 Q.33.  The  pro?t  earned  by  a  company  is 
 to  be  divided  among  three  friends  who 
 invested  their  money  in  the  company,  in 
 the  proportion  of  6  :  9  :  11.  If  the  share  of 
 the  person  who  invested  the  most  is 
 ?2,310,  then  what  is  the  sum  of  the 
 money (in ?) received by the other two 
 friends? 
 SSC MTS 22/10/2021(Morning) 
 (a) 1,890  (b) 3,150  (c) 5,460  (d) 1,260 
 SSC CGL 2020 Tier - 1 
 Q.34.  Keshav,  Surjeet  and  Thomas 
 started  a  business  with  investments  in 
 the  ratio  2  :  3  :  4.  The  ratio  of  their  period 
 of  investments  is  5  :  6  :  9.  Twenty 
 percent  of  the  pro?t  was  spent  on  rent 
 and  maintenance  of  the  o?ce. 
 Remaining  pro?t  was  distributed  among 
 themselves.  If  the  difference  in  the  share 
 of  pro?t  of  Keshav  and  Surjeet  is  Rs.7264 
 then how much is the total pro?t (in Rs.)? 
 SSC CGL 18/08/2021(Evening) 
 (a) 51060 (b) 58112 (c) 46490 (d) 72640 
 SSC CPO 2020 Tier - 1 
 Q.35.  A,  B,  C  subscribe  a  sum  of 
 Rs.75,500  for  a  business.  A  subscribes 
 Rs.3,500  more  than  B,  and  B  subscribes 
 Rs.  4,500  more  than  C.  Out  of  a  total 
 pro?t  of  Rs.45,300  how  much  (in  Rs.) 
 does A receive ? 
 SSC CPO 25/11/2020 (Evening shift) 
 (a) 12,600           (b) 15,000 
 (c) 17,400           (d) 14,700 
 SSC CGL 2019 Tier - 2 
 Q.36.  X  and  Y  enter  into  a  partnership 
 with  capital  in  ratio  3  :  5.  After  5  months 
 X  adds  50%  of  his  capital  ,  while  Y 
 withdraws  60%  of  his  capital.  What  is 
 share  (in  ?  lakhs  )  of  X  in  the  annual 
 pro?t of  ?6.84 lakhs? 
 SSC CGL Tier II (15/11/2020) 
 (a) 3.72  (b) 4.2  (c) 3.6  (d) 3.12 
 Q.37.  Ramesh  started  a  business 
 investing  a  sum  of  ?40,000.  Six  months 
 later,  Kevin  joined  by  investing  ?20,000.  If 
 they  make  a  pro?t  of  ?10,000  at  the  end 
 of year, how much is the share of kevin? 
 SSC CGL Tier II (18/11/2020) 
 (a) ?2,000  (b) ?4,000 
 (c) ?3,000              (d) ?2,500 
 SSC CPO 2019 Tier - 1 
 Q.38.  A,  B  and  C  are  partners  in  a  ?rm 
 sharing  pro?t  in  the  ratio  of  3:4:5.  If  they 
 set  aside  4%  of  the  pro?ts  as  emergency 
 fund  and  shared  the  rest  of  the  pro?t  and 
 B  gets  his  share  of  pro?t  as  Rs.  1,81,400, 
 the  amount  of  pro?t  set  aside  for 
 emergency fund is: 
 SSC CPO 15/03/2019 (Morning) 
 (a) Rs. 27848  (b) Rs.18140 
 (c) Rs.22675  (d) Rs.24500 
 Q.39.  A, B, and C enter into  partnership 
 with  capitals  in  the  ratio  :  :  . 
 2 
 3 
   
 3 
 5 
 5 
 6 
 After  8  months,  A  increases  his  share  of 
 capital  by  25%.  If  at  the  end  of  the  year, 
 the total pro?t earned is Rs 5,820, then 
 the share of C in the pro?t is ? 
 SSC CPO 09/12/2019 (Morning) 
 (a) 2250  (b) 2350   (c) 2050    (d) 2450 
 Q.40.  A  started  a  business  with  a  capital 
 of  ?1,12,000.  After  2  months,  B  joined  the 
 business  with  a  capital  ?  80,000,  and 
 after  another  2  months,  C  joined  the 
 business  with  a  capital  of  ?  72,000.  After 
 10  months  from  the  start  of  the 
 business,  B  withdrew  ?  8,000  and  C  also 
 withdrew  ?  8,000.  If  B  received  ?  9,800 
 as  his  share  in  the  pro?t  at  the  end  of  a 
 year, then the total pro?t was : 
 SSC  CPO 12/12/2019 (Morning) 
 (a) ? 30,800  (b) ? 35,800 
 (c) ? 32,400  (d) ? 33,600 
 Q.41.  A,  B  and  C  are  partners  in  a 
 business.  A,  whose  capital  has  been 
 used  for  5  months,  claims  of  the 
 1 
 7 
 pro?t.  B  whose  capital  has  been  used  for 
 7  months  claims  of  the  pro?t.  C  has 
 1 
 5 
 invested  Rs.  4600  for  9  months.  How 
 much capital did A contribute? 
 SSC  CPO 12/12/2019 (Evening) 
 (a) 1800   (b) 1650   (c) 1600   (d) 1850 
 SSC CGL 2018 Tier - 2 
 Q.42.  A  started  a  business  with  a  capital 
 of  Rs.  54000  and  admitted  B  and  C  after  4 
 months  and  6  months  respectively.  At  the 
 end  of  the  year,  the  pro?t  was  divided  in 
 the  ratio  1  :  4  :  5.  What  is  the  difference 
 between the capitals invested by B and C ? 
 SSC CGL Tier II (11/09/2019) 
 (a) Rs. 1,08,000  (b) Rs. 1,62,000 
 (c) Rs. 2,16,000  (d) Rs. 3,24,000 
 Q.43.  The ratio of investment by A to that 
 by  B  is  a  business  is  14:15  and  the  ratio 
 of  their  respective  pro?ts  at  the  end  of  a 
 year  is  2  :  5.  If  A  invested  the  money  for  3 
 months,  then  for  how  much  time  (in 
 months) B invested his money? 
 SSC CGL Tier II (11/09/2019) 
 (a) 7  (b) 6  (c) 5  (d) 9 
 Answer Key :- 
 1.(a)  2.(b)  3.(a)  4.(c) 
 5.(a)  6.(b)  7.(a)  8.(d) 
 9.(d)  10.(a)  11.(c)  12.(a) 
 13.(d)  14.(b)  15.(b)  16.(b) 
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 17.(d)  18.(b)  19.(b)  20.(c) 
 21.(a)  22.(d)  23.(b)  24.(b) 
 25.(a)  26.(b)  27.(b)  28.(d) 
 29.(c)  30.(c)  31.(a)  32.(b) 
 33.(b)  34.(d)  35.(c)  36.(a) 
 37.(a)  38.(c)  39.(a)  40.(d) 
 41.(a)  42.(c)  43.(a) 
 Solutions :- 
 Sol.1.(a) 
 Let the investment 200 and 300 units 
 According to the question, 
 200 ×  = 220 units 
 11 
 10 
 300 ×  = 240 units 
 4 
 5 
 Total investment = 200 + 300 = 500 units 
 Total earning = 220 + 240 = 460 units 
 Loss % =  × 100 = 8 % 
 500    -    460 
 500 
 Sol.2.(b)  Amount invested in ?rst share 
 = 27,600  = 6900 ×
 3 
 12 
 Amount invested in second share 
 = 27,600  = 9200 ×
 4 
 12 
 Amount invested in third share 
 = 27,600  = 11500 ×
 5 
 12 
 Total  dividend  =  6900  +  9200 ×
 1 
 5 
×
 3 
 20 
 + 11500  = ?3,335 ×
 1 
 20 
 Sol.3.(a)  Let Bani’s contribution is  ?? 
 4200  12 :  7 = 2 : 5 × ?? ×
 =  = ?18000  ?? 
 4200       ×    12    ×    5 
 7    ×    2 
 Sol.4.(c)  Let the investment of C = Rs. x 
 B’s  investment  =  Rs.  3x  then  A’s 
 investment = Rs. 6x 
 Since, they invest their money for 1 year, 
 Their pro?t ratio = 6 : 3 : 1 
 Hence, money received by A 
 =  = Rs. 3,600 
 6 
 10 
 ×  6000 
 Sol.5.(a)  Investment time is the same , 
 So ratio of investment is equal to the 
 ratio of pro?t . 
 Their investment ratio :- 
 P : Q : R  = 10 : 12 : 15 
 Share of Q =  = 18 × 12 = ?216  666     ×    
 12 
 37 
 Sol.6.(b)  Ratio =  kapil : kunal  :  saloni 
 Amount =   30    :   25     :   55 
 Time =    36   :   30     :   26 
 --------------------------------------------- 
 Pro?t =  108 :   75     :  143 
 Sol.7.(a) 
 Ratio  X    :      Y       :     Z ?
 pro?t  × 12  :  3  × 8  :  6  × 3 ? ??  ??  ?? 
 Total pro?t = 12  + 24  + 18  = 54  ??  ??  ??  ?? 
 54  = ? 450000  ?? 
 Share of Y (24  ) =  × 24  ?? 
 450000 
 54  ?? 
 ?? 
 = ? 200000 
 Sol.8.(d) 
 Ratio  P     :     Q ?
 Investment        4     :     6 
 Time                   1     :     x 
 ------------------------------------------- 
 Pro?t  4     :    3 ?
 Let Q joined for x year 
 As we know pro?t = investment × time 
 Then, 4 × 1 : 6 × x = 4 : 3  = ?
 4 
 6  ?? 
 4 
 3 
 x =  = ?
 3 
 6 
 1 
 2 
 Here,  Q  joined  for  6  months  then,  Q 
 joined after (12 - 6) = 6 month 
 Sol.9.(d)  Total amount invested by A 
 = 20000 × 5 + (20000 + 4000) × 7 
 = 100000 + 168000 = 268000 
 Total amount invested by B 
 = 25000 × 4 + (25000 - 8000) × 8 
 = 100000 + 136000 = 236000 
 Total amount invested by C 
 = 10000 × 6 + (10000 + 8000) × 6 
 = 60000 + 108000 = 168000 
 So, the ratio of their pro?t 
 = 268 : 236 : 168 =  67 : 59 : 42 
 Sol.10.(a)  50% =  ,  33  % = 
 1 
 2 
 1 
 3 
 1 
 3 
 Ratio  A    :      B       :    C ?
 Initial  2 × 4    :    3 × 6   :  5 × 8 ?
 Final  3 × 8   :    4 × 6   :  2.5 × 4 ?
 ------------------------------- 
 Pro?t  32   :      42     :    50 ?
 Total Pro?t (32 + 42 + 50) = 124 units 
 124 units  = 86800 Rs. 
 1 unit  = 700 Rs. 
 Difference b/w share of A and C ?
 (50  32) units  = 18 units -
 18 units = 18 × 700 = 12600 Rs. 
 Sol.11.(c) 
 Ratio  A          :       B      :  C ?
 Investment  137500 : 162500 : 187500 ?
 11        :      13     :   15 
 Therefore, C’s share :- 
 219375  =  Rs. ×
 4 
 5 
×
 15 
 39 
 67500 
 Sol.12.(a) 
 Ratio of their money contribution 
 A : B : C  = 5 : 10 : 6 
 Ratio of their time 
 A : B : C = 9 : 12 : 5 
 ? Ratio of their pro?t = 45 : 120 : 30 
 =  3  :   8    :  2 
 Hence, 
 C’s share in pro?t =  × 2 = 600 
 3900 
 13 
   
 Sol.13.(d)  Let investment of Bilal be  ?? 
 According to the question, 
 + (  + 5000) + (  4000) = 49000  ??  ??  ?? -
 = 48000 ,  = 16000  3  ??  ?? 
 Then, investment of Bilal : Arvind : Carmen 
 =  16000 : 21000 : 12000 
 =     16     :    21     :    12 
 Share of pro?t of Bilal 
 =  =  ?32,000 
 98000 
 16    +    21    +    12 
 ×     16 
 Sol.14.(b)  Let the total pro?t is ?  ?? 
 According to the question, 
 = ?4860  ?? ×
 9 
 10 
×
 3 
 5 
 = ?9,000 ? ?? 
 Sol.15.(b)  Concept  :-  pro?t  is  divided  in 
 the ratio of capital 
 Ratio of pro?t of A , B , and C = 7 : 14 : 1 
 Share of C = 7920  = 360 ×
 1 
( 7    +    14    +    1 )
 Sol.16.(b)  A  receive  20%  of  the  pro?t  for 
 managing the business . 
 Remaining  pro?t  excluding  A’s  managing 
 pro?t = 10,000 × 80% = 8,000 
 B’s pro?t = 8,000 ×  = 5,000 Rs. 
 5 
 8 
 Sol.17.(d)  3 units  = 3840 ? 
 Total pro?t (5 units) =  = 6400 ? 
 3840 
 3 
 ×     5 
 Sol.18.(b)  Their  investment  time  is  same 
 ,  so  the  ratio  of  pro?t  is  equal  to  the  ratio 
 of investment. 
 Ratio of investment :- 
 A : B : C  =  3  :  6  :  7 
 B’s share of pro?t (6 units) = ?759 
 Total pro?t (16 units) = 
 759 
 6 
 ×  16 
 = 253 × 8 = ?2024 
 Sol.19.(b)  Let  the  investment  of  A  and  B 
 be 7  and 5  .  ??  ?? 
 If  investment  time  is  equal  ,  then  the  ratio 
 of  pro?t  is  equal  to  the  ratio  of 
 investment . 
 According to the question, 
 7  = 5950 Rs.  ?? 
 12  = 5950 ×  = 10200 Rs.  ?? 
 12 
 7 
 Total pro?t = 10200  × 
 100 
( 100    -       15 )
 = 12000 Rs. 
 Sol.20.(c) 
 Ratio  A    :     B ?
 Investment  3    :      2 ?
 Time  12   : ? ?? 
 -------------------------------------- 
 Pro?t  2     :     1 ?
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 Pinnacle  Day: 53rd  Partnership 
 (time for which B invested )  ?? 
 =  = 9 month 
 12     ×     3 
 2     ×     2 
 Required time after which B invested 
 = 12  9 = 3 months -
 Sol.21.(a)  If  investment  time  is  equal  , 
 then  the  ratio  of  pro?t  is  equal  to  the 
 ratio of investment . 
 Ratio  A    :     B ?
 Invest  7    :     1 ?
 Pro?t  7    :     1 ?
 Share of A  = 275000 ×  = 240625 ? 
 7 
 8 
 Sol.22.(d) 
 Ratio  X   :        Y        :      Z  ? 
 Amount  a   :   a + 200   :   a + 400  ? 
 Total amount = 3a + 600 
 3a + 600 = ? 1200 
 a =  = ? 200 
 1200    -       600 
 3 
 Share of Y = a + 200 = 200 + 200 = ? 400 
 Sol.23.(b)  According to the question, 
 A × 5 = B × 7 ?  = 
 ?? 
 ?? 
 7 
 5 
 Share of the A = 12000 ×  = ? 7000 
 7 
 7    +    5 
 Sol.24.(b) 
 Ratio  A    :     B ?
 Investment  1     :     2 ?
 Time  :     y ? ?? 
 ----------------------------------------- 
 Pro?t  1      :     5 ?  = ?
 1  ?? 
 2  ?? 
 1 
 5 
 Required Ratio of time period =  : y = 2 : 5  ?? 
 Sol.25.(a)  As we know :- 
 pro?t =  time × investment 
 If  investment  time  is  equal  ,  then  the  ratio 
 of  pro?t  is  equal  to  the  ratio  of 
 investment . 
 According to the question, 
 Total pro?t of P , Q and R = Rs. 5720 
 Investment of Q = 
 1870 
 5720 
 ×  52000 
 = Rs.17000 
 Sol.26.(b)  Let the total investment = 100 
 Then,  Investment  of  P  =  20  and 
 investment of Q = 25 
 So, investment of R = (100 - 45) = 55 
 Therefore, ratio of investment of 
 (P : Q : R) = 20 : 25 : 55  4 : 5 : 11 ?
 Sol.27.(b) 
 Ratio  X   :    Y    :    Z    ?
 Amount  2    :    3    :    4 ?
 Time  3    :    2    :    4 ?
 -------------------------------------- 
 6    :   6     :   16  ???????????? ?
 the share of Y = 56,000 × 
 6 
 28 
 = Rs 12000 
 Sol.28.(d) 
 Ratio  Nikhil  :   Neha ?
 Investment  :       4 ? 5 
 Time  : ? ??  ?? + 1 
 ------------------------------ 
 Pro?t  6      :      5 ?
 Now , 
 =  25  = 24  + 24 
 5  ?? 
 4 ( ??    +    1 )
 6 
 5 
? ??  ?? 
 = 24 years ? ?? 
 So Neha invested for (  + 1) years  ?? 
 = 25 years 
 Sol.29.(c)  Let  ,  the  investments  of  A,  B 
 and C be x, y, z respectively. 
 Total Investment × Total time = Pro?t 
 Ratio  A    :    B   :    C ?
 Pro?t  :  :  =  4 : 3  :  14 ? 3  ??  2  ??  7  ?? 
 :  :  =  :  : ? ??  ??  ??    
 4 
 3 
 3 
 2 
 14 
 7 
 = 8 : 9 : 12 
 Sol.30.(c) 
 Ratio  Suresh : Dinesh : Ramesh ?
 Investment  300  :  600     :  800 ?
 Increased investment ?
 315 : 690 : 960    or  21 : 46 : 64 
 Sol.31.(a)  Pro?t = Investment × Time 
 75000 x 12 : 80000  7  45 : 28        × ?   
 73 units = ? 4,08,800 
 45 units = ? 2,52,000 
 28 units = ? 1,56,800 
 Therefore  Pro?t  of  A  and  B  will  be  ? 
 2,52,000 and ? 1,56,800 respectively. 
 Sol.32.(b)  Ratio  of  investment  of  A  :  B  :  C 
 = 100000 : 140000 : 200000 = 5 : 7 : 10 
 According to the question, 
 A  works  for  12  months,  B  works  for  3  +  7 
 = 10 months, C works for 3 months. 
 Pro?t sharing ratio among A : B : C = 
 (5  12) : (7  10) : (10  3) = 30 : 35 : 15 × × ×
 Let total pro?t be y. 
 Now,  y = 1155  y = ?6,160 
 15 
 80 
× ?
 So, total pro?t of A and B 
 =  6160 = ?5,005 
 65 
 80 
×
 Sol.33.(b)  Ratio of investment = 6 : 9 : 11. 
 Let the shares of pro?t be 
 6x, 9x and 11x. 
 According to the question, 
 11x = 2310 ? x = 210. 
 The shares of the other two 
 = 6x + 9x = 15x = 15 × 210 = 3,150. 
 Sol.34.(d) 
 Investments  2   :   3    :    4 ?
 Time period  5   :   6    :    9 ?
 ------------------------------------------------------------ 
 Pro?t  10  :   18  :   36 ?
 According to question , 
 Pro?t difference of Keshav and Surjeet ?
 (18  10)units  = 8 units  = 7264 Rs. -
 1 unit  = 908 Rs. 
 Total Pro?t (10 + 18 + 36) = 64 units 
 64 units  = 58112 Rs. 
 Let ,  total pro?t = 100% 
 Pro?t shared = 80% 
 80%  58112 Rs.  ? 100%  72640 Rs. ? ?
 Sol.35.(c) 
 Total sum of A, B and C = 75,500 Rs. 
 B  =  C + 4500 
 A =   B + 3500 or C + 8000 
 According to the question 
 (C + 8000) + (C + 4500) + C = 75,500 
 3C + 12,500 = 75,500 
 C =  21,000 Rs. ,  A = 29,000 Rs. 
 Share of A =  45,300 
 29 , 000 
 75 , 500 
×
 = 2900 × 6 =17,400 Rs. 
 Sol.36.(a)  X share in investment ?
 3  5  +  4.5  7 = 46.5 × ×
 Y share in investment = 5  5 + 2  7 × ×
 = 39 
 Total investment = 85.5 
 X share =  Lakh 
 46 . 5 
 85 . 5    
× 6 . 84 = 3 . 72 
 Sol.37.(a) 
 Ratio  Ramesh   :       Kevin ?
 Investment  4         :          2 ?
 Time  12        :           6 ?
 --------------------------------------- 
 Pro?t  (4 × 12)  :  (2 × 6)  =  4  :  1 ?
 Total Pro?t (5 units) = 10,000 Rs. 
 Kevin share (1 unit)  2000 Rs. ?
 Sol.38.(c)  Let total pro?t = P 
 According to question , 
 P ×  = 181400 
 96 
 100 
×
 4 
 3    +    4    +    5 
 P = 566875  Rs. 
 amount  of  pro?t  set  aside  for  emergency 
 fund  566875  = 22675 Rs. ? ×
 4 
 100 
 Sol.39.(a) 
 Ratio  :  :  = 20  :   18  :  25 ?
 2 
 3 
 3 
 5 
 5 
 6 
 Pro?t  A     :       B          :  C ?
 (20 × 8) + (25 × 4)  :  (18 × 12) :  (25 × 12) 
 260     :       216      :       300 
 Total Pro?t (260 + 216 + 300) units ?
 776 units  = 5820 Rs. 
 1 unit  = 7.5 Rs. 
 Share of C (300 units) = 300×7.5 = 2250 Rs. 
 Sol.40.(d) 
 Investment ratios of A, B and C ?
 Total investment of A = 112000 × 12 
 Total investment of B 
 = 80000 × 8 + 72000 × 2 
 Total investment of C 
 = 72000 × 6 + 64000 × 2 
 Ratio of their Investment ?
 1344   : 784  : 560  =  84    : 49   : 35 
 Total Pro?t = 84 + 49 + 35 = 168 units 
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