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Select the correct answerP, Q, R subscribe Rs.50,000 for a business. P subscribes Rs.4000 more than Q and Q Rs.5000 more than R. Out of a total profit of Rs. 25,000 and what will be P's share?Options10,50012500None of these13000

Question

Select the correct answerP, Q, R subscribe Rs.50,000 for a business. P subscribes Rs.4000 more than Q and Q Rs.5000 more than R. Out of a total profit of Rs. 25,000 and what will be P's share?Options10,50012500None of these13000

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Solution

To solve this problem, we first need to determine how much P, Q, and R each invested in the business.

  1. From the problem, we know that Q invested Rs.5000 more than R. Let's denote R's investment as x. Therefore, Q's investment is x + Rs.5000.

  2. We also know that P invested Rs.4000 more than Q. Therefore, P's investment is (x + Rs.5000) + Rs.4000 = x + Rs.9000.

  3. The total investment from P, Q, and R is Rs.50,000. Therefore, we can set up the following equation: x (R's investment) + x + Rs.5000 (Q's investment) + x + Rs.9000 (P's investment) = Rs.50,000.

  4. Simplifying the equation gives us 3x + Rs.14,000 = Rs.50,000.

  5. Solving for x, we get x = Rs.12,000. Therefore, R invested Rs.12,000, Q invested Rs.17,000, and P invested Rs.21,000.

  6. The total profit is Rs.25,000. To find P's share of the profit, we need to divide P's investment by the total investment and multiply by the total profit. Therefore, P's share is (Rs.21,000 / Rs.50,000) * Rs.25,000 = Rs.10,500.

So, the correct answer is Rs.10,500.

This problem has been solved

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