IIM-B (BBA-DBE) 2024 #1 (QA) PYQs

The sum of the cost prices of three items was $₹24,150$. The person sold the first item at a profit of $72\%$, the second item at a profit of $40\%$, and the third item at a profit of $126\%$. The total profit earned from the sale of these three items was $₹13,942$. If the cost price of the second item was $₹175$ more than what it actually was, then the ratio of the cost prices of the second and the third items, respectively, would have been $4 : 5$. What was the difference (in Rs.) between the profits earned from the sale of the first and the second items?

A dishonest dealer professes to sell his goods at cost price. But he uses a false weight and thus gains $6 \frac{18}{47}\%$. For a kg, he uses a weight of

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