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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. 40000RS. 60000RS. 25000RS. 50000RS. 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. 40000RS. 60000RS. 25000RS. 50000RS. 30000

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Solution

The problem involves the concept of partnership in business. In such problems, the profit share is directly proportional to the product of the invested capital and the time for which the capital is invested.

Let's denote:

  • The capital invested by A as Ca = Rs. 25000
  • The capital invested by B as Cb (which we are trying to find)
  • The time for which A's capital was invested as Ta = 9 months
  • The time for which B's capital was invested as Tb = 9 - 3 = 6 months (since B joined 3 months after A)

According to the problem, the ratio of A's profit to B's profit is 15:16. So, we can write this as:

(Ca * Ta) / (Cb * Tb) = 15 / 16

Substituting the known values:

(25000 * 9) / (Cb * 6) = 15 / 16

Solving this equation for Cb gives us:

Cb = (25000 * 9 * 16) / (15 * 6) = Rs. 40000

So, the capital invested by B was Rs. 40000. Therefore, the correct answer is "RS. 40000".

This problem has been solved

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