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P, Q and R together invested Rs. 50,000 for a business. P subscribed Rs. 4,000 more than Q while Q subscribed Rs. 5,000 more than R. What will be P's share if the total profit is Rs. 25,000 at the end of the year?

P, Q and R together invested Rs. 50,000 for a business. P subscribed Rs. 4,000 more than Q while Q subscribed Rs. 5,000 more than R. What will be P's share if the total profit is Rs. 25,000 at the end of the year? Correct Answer Rs. 10,500

Given: 

Total profit = Rs.25000

Formula used: 

Profit = Investment × Time 

Calculation: 

Let the amount invested by R = Rs.y

Let the amount invested by Q = Rs.y + Rs.5000

Similarly, the amount invested by P = Rs.y + Rs.5000 + Rs.4000 = Rs.y + Rs.9000

According to the question:

Rs.y + Rs.y + Rs.5000 + Rs.y + Rs.9000 = Rs.50000

⇒ 3y = 50000 - 14000 

⇒ y = 36000/3 = 12000

P's capital = Rs.21000

Q's capital = Rs.17000

R's capital = Rs.12000

Ratio of the profit:

P : Q : R 

⇒ 21000 × 1 : 17000× 1 : 12000 × 1

⇒ 21 : 17 : 12

Profit earned by P = 25000 × 21/50 = 10500

∴ P's share = Rs.10500

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