IPMAT Indore 2024 (SA) PYQs

Aruna purchases a certain number of apples for INR 20 each and a certain number of mangoes for INR 25 each. If she sells all the apples at $10 \%$ profit and all the mangoes at $20 \%$ loss, overall she makes neither profit nor loss. Instead, if she sells all the apples at $20 \%$ loss and all the mangoes at $10 \%$ profit, overall she makes a loss of INR 150. Then the number of apples purchased by Aruna is _________.

A goldsmith bought a large solid golden ball at INR 1,000,000 and melted it to make a certain number of solid spherical beads such that the radius of each bead was one-fifth of the radius of the original ball. Assume that the cost of making golden beads is negligible. If the goldsmith sold all the beads at 20% discount on the listed price and made a total profit of 20%, then the listed price or each golden bead, in INR, was

A shopkeeper reduces the price of a pen by 25% as a result of which the sales quantity increased by 20%. If the revenue made by the shopkeeper decreases by x% then x is