Q. $₹ 117$ was supposed to be divided among $P, Q$ and $R$ in the ratio $3: 4: 6$. But, by mistake, it was divided in the ratio $\frac{1}{3}: \frac{1}{4}: \frac{1}{6}$. How many of $P, Q$ and $R$ gained due to this mistake?
Ratio, Proportion and Variation
Solution: