IPMAT Rohtak 2019 (QA) PYQs

The highest possible value of the ratio of a four-digit number and the sum of its four digits is

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?

Given ratios are $a : b = 2 : 3, b : c = 5 : 2, c : d = 1 : 4$. Find $a : b : c$.