Question

Three friends A, B and C started a business by investing a total sum of Rs. 22,000. At the end of the year. A, B and C receives Rs. 900, Rs. 900 and Rs. 400 respectively as their profit share. What is the amount of capital invested by A, B and C?

• A. Capital invested by A = Rs. 9000
  Capital invested by B = Rs. 9000
  Capital invested by C = Rs. 4000
• B. Capital invested by A = Rs. 9000
  Capital invested by B = Rs. 3000
  Capital invested by C = Rs. 7000
• C. Capital invested by A = Rs. 9000
  Capital invested by B = Rs. 7000
  Capital invested by C = Rs. 4000
• D. Capital invested by A = Rs. 4000
  Capital invested by B = Rs. 9000
  Capital invested by C = Rs. 4000

Answer 1

The correct option is A

Capital invested by A = Rs. 9000
Capital invested by B = Rs. 9000
Capital invested by C = Rs. 4000

Total amount invested = Rs. 22,000

Ratio of profits of A : B : C = 900 : 900 : 400 = 9 : 9 : 4
$\because$ the ratio of profit = 9 : 9 : 4
$\Rightarrow$ the ratio of investment should be 9 : 9 : 4.

Hence, capital invested by A = $22,000\times \frac{9}{9+9+4}=22,000\times \frac{9}{22}$ $=Rs.9000$

Capital invested by B = $22,000\times \frac{9}{9+9+4}=22,000\times \frac{9}{22}$ $=Rs.9000$

Capital invested by C = $22,000\times \frac{4}{9+9+4}=22,000\times \frac{4}{22}$ $=Rs.4000$