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orrect answerThree 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 16,500 at the end of a year, Find out B's share in it?

Question

orrect answerThree 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 16,500 at the end of a year, Find out B's share in it?

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Solution

Let's solve this step by step:

Step 1: Let's assume the capital of C as x. According to the problem, B's capital is four times C's capital, so B's capital is 4x.

Step 2: The problem also states that twice A's capital is equal to thrice B's capital. So, 2A = 3B. Substituting B's capital from step 1, we get 2A = 3*4x = 12x. So, A's capital is 6x.

Step 3: Now, we know the capital of A, B, and C. A's capital is 6x, B's capital is 4x, and C's capital is x. So, the total capital is 6x + 4x + x = 11x.

Step 4: The total profit is Rs 16,500. The share of each partner is directly proportional to their capital. So, B's share in the profit is (B's capital / total capital) * total profit = (4x / 11x) * 16500 = Rs 6000.

So, B's share in the profit is Rs 6000.

This problem has been solved

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