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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?Rs.8,400Rs.10,500Rs.13,600Rs.14,70

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?Rs.8,400Rs.10,500Rs.13,600Rs.14,70

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Solution

Let's solve this step by step:

  1. Let's assume the amount of money that R subscribed is 'x'. According to the problem, Q subscribed Rs.5000 more than R, so Q's subscription is 'x + 5000'. P subscribed Rs.4000 more than Q, so P's subscription is 'x + 5000 + 4000' = 'x + 9000'.

  2. The total amount subscribed by P, Q, and R is Rs.50,000. So, we can set up the equation: x + (x + 5000) + (x + 9000) = 50000. Simplifying this, we get 3x + 14000 = 50000. Solving for 'x', we get x = Rs.12000.

  3. So, R subscribed Rs.12000, Q subscribed Rs.12000 + 5000 = Rs.17000, and P subscribed Rs.17000 + 4000 = Rs.21000.

  4. The total profit is Rs.25000, which should be divided among P, Q, and R in the ratio of their subscriptions. So, the ratio of P:Q:R = 21000:17000:12000 = 21:17:12.

  5. To find P's share of the profit, we divide P's part of the ratio by the total parts of the ratio, and multiply by the total profit. So, P's share = (21/(21+17+12)) * 25000 = Rs.10500.

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

This problem has been solved

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