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
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.
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