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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?Options125001300010,500None of these

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?Options125001300010,500None of these

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Solution

Let's solve this step by step:

  1. First, let's find out how much P, Q, and R each invested in the business. We know that P, Q, and R together invested Rs. 50,000. We also know that P invested Rs. 4,000 more than Q and Q invested Rs. 5,000 more than R.

  2. Let's assume that R invested x amount. Then Q invested x + Rs. 5,000 and P invested x + Rs. 5,000 + Rs. 4,000 = x + Rs. 9,000.

  3. So, the total investment is x (R's investment) + x + 5,000 (Q's investment) + x + 9,000 (P's investment) = Rs. 50,000. Simplifying this, we get 3x + 14,000 = 50,000. Solving for x, we get x = Rs. 12,000.

  4. So, R invested Rs. 12,000, Q invested Rs. 17,000 (12,000 + 5,000), and P invested Rs. 21,000 (12,000 + 9,000).

  5. The total profit is Rs. 25,000. The share of each person will be in the ratio of their investment. So, the ratio of P:Q:R is 21,000:17,000:12,000 = 21:17:12.

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

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

This problem has been solved

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