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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...
Answers (1)

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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