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?

Coins of INR $2, 5,$ and $10$ denominations are in a bag in the ratio of $30:20:10,$ of which the INR $5$ coins amount to INR $250.$ What is the total value of coins in the bag?