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nswerA 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.)?Options2,0001,5002,5001,800

Question

nswerA 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.)?Options2,0001,5002,5001,800

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Solution

The problem is about the distribution of profit in a business partnership. The profit in a business 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 B invested his capital as 5 months
  • the time A invested his capital as 4 months

The ratio of the capital invested by A and B is then (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 = 528/2 + 24

Solving this equation will give us the value of x, which is the capital invested by B. Adding Rs. 600 to x will give us the capital contributed by A.

Let's solve the equation:

4*(x + 600) / [4*(x + 600) + 5x] * 528 = 264 + 24 4*(x + 600) / [4x + 2400 + 5x] * 528 = 288 4*(x + 600) / [9x + 2400] * 528 = 288 4*(x + 600) * 528 = 288 * (9x + 2400) 2112x + 1267200 = 2592x + 691200 480x = 576000 x = 1200

So, the capital contributed by A is x + 600 = 1200 + 600 = Rs. 1800.

Therefore, the correct option is Rs. 1,800.

This problem has been solved

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