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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.14,700

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.14,700

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Solution

Let's solve this step by step:

Step 1: Let's assume the amount that R subscribed is 'x'.

Step 2: According to the problem, Q subscribed Rs.5000 more than R. So, Q's subscription is 'x + 5000'.

Step 3: Similarly, P subscribed Rs.4000 more than Q. So, P's subscription is 'x + 5000 + 4000' which equals 'x + 9000'.

Step 4: 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.

Step 5: Simplifying the equation gives: 3x + 14000 = 50000.

Step 6: Solving for 'x' gives: x = (50000 - 14000) / 3 = Rs.12,000.

Step 7: Now that we know R's subscription, we can find P's subscription by adding Rs.9000 to R's subscription: P = x + 9000 = 12000 + 9000 = Rs.21,000.

Step 8: The profit is divided in the ratio of their investments. So, P's share of the profit is (P's subscription / total subscription) * total profit = (21000 / 50000) * 25000 = Rs.10,500.

So, P's share of the profit is Rs.10,500.

This problem has been solved

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