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Select the correct answerA puts Rs. 600 more in a business than B, but B has invested his capital for 5 months,while A has invested for 4 months. if the share of A in profit in Rs. 48 more that that of B out of the total profit of Rs. 528, Then find the capital contributed by A (in Rs.)?Options2,5002,0001,5001,800

Question

Select the correct answerA puts Rs. 600 more in a business than B, but B has invested his capital for 5 months,while A has invested for 4 months. if the share of A in profit in Rs. 48 more that that of B out of the total profit of Rs. 528, Then find the capital contributed by A (in Rs.)?Options2,5002,0001,5001,800

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Solution

The problem is about the distribution of profit in a business partnership. The profit in a partnership is distributed according to the ratio of the product of the capital invested and the time for which it is invested.

Let's denote:

  • the capital invested by B as x (in Rs.)
  • the capital invested by A as (x+600) (in Rs.) because A puts Rs. 600 more in the business than B
  • the time for which B invested his capital as 5 months
  • the time for which A invested his capital as 4 months

The ratio of the capital invested by A and B is therefore (x+600)4 : x5.

Given that the share of A in profit is Rs. 48 more than that of B out of the total profit of Rs. 528, we can write the equation:

[(x+600)4]/[(x+600)4 + x5] * 528 = (x5)/[(x+600)4 + x5] * 528 + 48

Solving this equation, we find that x = Rs. 1400.

Therefore, the capital contributed by A is x + 600 = Rs. 1400 + Rs. 600 = Rs. 2000.

So, the correct answer is 2,000.

This problem has been solved

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