Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.
Question
Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.
Solution
Let's denote the capitals of A, B, and C as a, b, and c respectively.
From the problem, we know that:
- B's capital is four times C's capital, so b = 4c.
- Twice A's capital is equal to thrice B's capital, so 2a = 3b.
We can substitute b from the first equation into the second equation to find a in terms of c:
2a = 3(4c) => 2a = 12c => a = 6c.
So, the ratio of A:B:C's capital is 6c:4c:c, which simplifies to 6:4:1.
The total profit is divided among the partners in the ratio of their capital investment. So, B's share of the profit is (4/11)*16500 = Rs 6000.
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