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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.)?Options1,5001,8002,0002,500

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.)?Options1,5001,8002,0002,500

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Solution

Let's solve this step by step:

  1. Let's assume the capital invested by B as Rs. x. Therefore, the capital invested by A will be Rs. x + 600.

  2. The profit share is divided according to the ratio of the product of the capital invested and the time period for which the capital is invested. So, the ratio of the profit share of A and B will be (x+600)4 : x5.

  3. It is given that the share of A in profit is Rs. 48 more than that of B. So, we can write the equation as follows: [(x+600)4]/[(x+600)4 + x5] * 528 - [x5]/[(x+600)4 + x5] * 528 = 48

  4. Solving the above equation, we get the value of x as Rs. 900.

  5. Therefore, the capital contributed by A will be x + 600 = 900 + 600 = Rs. 1500.

So, the correct answer is Rs. 1500.

This problem has been solved

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