BMSAT Kozhikode (QA) PYQs

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?

A painting contractor tells the owner of a large custom-built cupboard that the painting cost will be proportional to the square of a cupboard's surface area as measured in square-m. The owner dismantles the cupboard into 4 modules in the ratio 3:5:6:8 of its surface area, such that no new surfaces are required to be painted. If the owner's savings turn out to be Rs 1400 due to the dismantling, what was original painting cost quoted by the contractor?

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?