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 16,500 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 16,500 at the end of a year, Find out B's share in it?
Solution
Sure, let's solve this step by step.
Step 1: Let's denote 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: The total capital is A + B + C = 6x + 4x + x = 11x.
Step 4: The total profit is divided in the ratio of their capitals. 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.
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