IIM-K (BMSAT) 2025 (QA) PYQs

A parcel's shipping cost is proportional to the square of its volume in cubic meters. Suppose we break the parcel into 3 packages in the ratio $2:3:5$ of its original volume, to qualify for lower shipping cost. If the savings are the equivalent of $\sqrt{6200}$ cubic meters, what was the original volume of the parcel?

Three women, Isha, Nisha, and Sudha, earn a monthly salary in the ratio $3:4:5$. They also spend monthly in the ratio $3:5:6$, saving the rest. If Sudha's savings are $1/6$th of her income, what's the ratio of the three women's monthly savings?