Correct Answer - Option 3 : Rs. 15,000
Given:
A started a business with an investment of Rs. 50,000.
After 6 months, B joined him with capital of Rs. 70,000 and after another 3 months, C joined them with capital of Rs. 80,000.
The profits at the end of the year are Rs. 31,500.
Concepts used:
Net capital invested = Time for which capital is invested × capital invested
Calculation:
Net capital invested by A = 12 × Rs. 50,000 = Rs. 600,000
After 6 months, B joined him with capital of Rs. 70,000.
⇒ Net capital invested by B = 6 × Rs. 70,000 = 420,000
After another 3 months, C joined them with capital of Rs. 80,000.
⇒ Net capital invested by C = 3 × Rs. 80,000 = 240,000
Ratio of profits of P, N and O = Rs. 600,000 ∶ Rs. 420,000 ∶ Rs. 240,000 = 10 ∶ 7 ∶ 4
The profits at the end of the year are Rs. 31,500.
⇒ Profits earned by A = 10/(10 + 7 + 4) × Rs. 31,500 = Rs. 15,000
∴ A earned Rs. 15,000 as profits.