IIMB 2001 (QA) PYQs

A group of $3000$ people bought the shares of XYZ company of which $65\%$ were male and the rest were female. The male population earned a profit of $10\%$ and female population earned $5\%$ on an investment of Rs. $500$ each. Find the change in the percentage profit of the group, if the ratio of male to female gets reversed the next year, population and profit percentages for the respective groups remaining the same.

The cost of setting up the type of a magazine is Rs. $1000$. The cost of running the printing machine is Rs. $120$ per $100$ copies. The cost of paper, ink and so on is $60$ paise per copy. The magazines are sold at Rs. $2.75$ each. Nine hundred copies were printed, but only $784$ copies are sold. What is the sum to be obtained from advertisements to give a profit of $10\%$ on the cost?

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?