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Select the correct 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.OptionsRS. 50000RS. 40000RS. 25000RS. 60000RS. 30000

Question

Select the correct 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.OptionsRS. 50000RS. 40000RS. 25000RS. 60000RS. 30000

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Solution

The profit shared by A and B is in the ratio of 15:16. This ratio is determined by the amount of capital invested and the time for which it was invested.

A invested Rs. 25000 for 9 months. So, A's capital-time is 25000 * 9 = 225000.

B joined after 3 months, so B was in the business for 9 - 3 = 6 months. Let's say B's capital was Rs. X. So, B's capital-time is X * 6.

The ratio of A's capital-time to B's capital-time is equal to the ratio of their profits, which is 15:16.

So, we can set up the equation:

225000 / (X * 6) = 15 / 16

Solving for X gives us:

X = (225000 * 16) / (15 * 6) = Rs. 40000

So, the capital of B was Rs. 40000. Therefore, the correct option is RS. 40000.

This problem has been solved

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