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  • Example : A, B and C are partners A receives 2/5 of the profit and B and C share the remaining profit equally. A’s income is increased by Rs 220 when the profit rises from 8% to 10%. Find the capitals invested by A, B and C.





    Solution: For A’s share: (10% - 8%) directly proportional Rs 220

    So 100% directly proportional 220/2 x 100 = Rs 11000

    So A’s capital = Rs 11000

    For B’s C’s share: 2/5 directly proportional 11000

    So 3/5 directly proportional 11000/2 x 3 = Rs 16500

    So B’s and C’s capitals are Rs 8250 each.





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    I did not understand the part "For B’s C’s share: 2/5 directly proportional 11000". Please explain this question to me...



    Asked by  9 months ago
     
 
 

Answers (1)

 
  • By , 8 months ago
    You can follow another approach
     A's share in the profit = 2/5th
     Now let us say that the total investments of A,B and C together = I
    Earlier the profit % was 8%
     Earlier total profit = 8I/100
     Profit share of A in that = 2/5 x 8I/100

    New profit % = 10%
     New total profit = 10I/100
    Profit share of A in the new profit = 2/5 x 10I/100

    Given thye share of A increases by 220 Rs  
     so  2 I/100 x 2/5 = 220
          or  I = 27500
    Total investment = 27500
    Now the share of A = 2/5 x 27500 = 11000   { As profits are shared in the ratio of investments}
     B+C 's investment = 27500 - 11000 = 16500
     B's investment = C's = 8250
 
 
 
 

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