Question

3 classmates P, Q and R earned a profit of Rs. 9000. The ratio of capital invested by P and Q is 1 : 2. The ratio of capital invested by Q and R is 4 : 3. Calculate the actual profit each of them earns.

• A. Profits of P, Q and R are Rs. 1000, Rs. 4000 and Rs. 3000 respectively
• B. Profits of P, Q and R are Rs. 8000, Rs. 4000 and Rs. 3000 respectively
• C. Profits of P, Q and R are Rs. 2000, Rs. 4000 and Rs. 9000 respectively
• D. Profits of P, Q and R are Rs. 2000, Rs. 4000 and Rs. 3000 respectively

Answer 1

The correct option is D

Profits of P, Q and R are Rs. 2000, Rs. 4000 and Rs. 3000 respectively

Capital of P : Capital of Q = 1 : 2 = 2 : 4 (Multiplying the antecedent and consequent with 2)

Capital of Q : Capital of R = 4 : 3

$\Rightarrow$ Capital of P : Capital of Q : Capital of R = 2 : 4 : 3

P's part in total capital = $\frac{2}{2+4+3}$
$\Rightarrow$ $\frac{2}{9}$

Q's part in total capital = $\frac{4}{2+4+3}$
$\Rightarrow$$\frac{4}{9}$

R's part in total capital = $\frac{3}{2+4+3}$
$\Rightarrow$ $\frac{3}{9}$

$\Rightarrow$ P will get $9000\times \frac{2}{9}$ = Rs. 2000

$\Rightarrow$ Q will get $9000\times \frac{4}{9}$ = Rs. 4000

$\Rightarrow$ R will get $9000\times \frac{3}{9}$ = Rs. 3000