Question

Instead of dividing $Rs.117$ among $P,Q,R$ in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$, by mistake it was divided in the ratio $2:3:4$. Who gained in the transaction?

• A. only $P$
• B. only $Q$
• C. only $R$
• D. both $Q$ and $R$

Answer 1

Answer: (D)

both $Q$ and $R$

Desired ratio $=\frac{1}{2}:\frac{1}{3}:\frac{1}{4}=\frac{1}{2}\times 12:\frac{1}{3}\times 12:\frac{1}{4}\times 12$
$=6:4:3$
Ratio by mistake $=2:3:4=6:9:12$
Hence, it is clear that both $Q$ and $R$ gained in the transaction.