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P, 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?OptionsNone of these1300010,50012500

Question

P, 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?OptionsNone of these1300010,50012500

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Solution

To solve this problem, we first need to find out 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 + 5000.

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

  3. The total investment from P, Q, and R is Rs.50,000. So, we can set up the equation: x (R's investment) + x + 5000 (Q's investment) + x + 9000 (P's investment) = 50000. Simplifying this, we get 3x + 14000 = 50000.

  4. Solving for x, we find that R's investment is x = (50000 - 14000) / 3 = Rs.12000. Therefore, Q's investment is 12000 + 5000 = Rs.17000, and P's investment is 17000 + 4000 = Rs.21000.

  5. The total profit is Rs.25000. The share of each person is proportional to their investment. Therefore, P's share of the profit is (P's investment / total investment) * total profit = (21000 / 50000) * 25000 = Rs.10500.

So, P's share of the profit is Rs.10500.

This problem has been solved

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