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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.

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Solution

Let's denote the capitals of A, B, and C as a, b, and c respectively.

From the problem, we know that:

  1. B's capital is four times C's capital, so b = 4c.
  2. 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.

This problem has been solved

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