ect answerA started business by investing RS. 25000. After 3 months B joined. At the end of 9 months from the beginning they shared profit in the ratio 15:16. what was the capital of B.
Question
ect answerA started business by investing RS. 25000. After 3 months B joined. At the end of 9 months from the beginning they shared profit in the ratio 15:16. what was the capital of B.
Solution
The problem is about the distribution of profit in a business partnership. The profit in such a business is divided according to the capital invested and the time for which it was invested.
Here are the steps to solve the problem:
Step 1: Determine the capital-time product for each partner. For A, the capital-time product is Rs. 25000 * 9 months = Rs. 225000. For B, we don't know the capital yet, but we know the time is 6 months (9 months - 3 months).
Step 2: Set up the ratio of capital-time products. The problem states that the profit ratio is 15:16, so we can set up the following equation: 225000 / (B's capital * 6) = 15 / 16
Step 3: Solve for B's capital. Cross-multiplying and solving for B's capital gives us: B's capital = (225000 * 16) / (15 * 6) = Rs. 20000.
So, B's capital was Rs. 20000.
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