CAT (QA) PYQs

Jayant bought a certain number of white shirts at the rate of Rs $1000$ per piece and a certain number of blue shirts at the rate of Rs $1125$ per piece. For each shirt, he then set a fixed market price which was $25 \%$ higher than the average cost of all the shirts. He sold all the shirts at a discount of $10 \%$ and made a total profit of Rs $51000$. If he bought both colors of shirts, then the maximum possible total number of shirts that he could have bought is

Gita sells two objects $A$ and $B$ at the same price such that she makes a profit of $20 \%$ on object $A$ and $a$ loss of $10 \%$ on object $B$. If she increases the selling price such that objects $A$ and $B$ are still sold at an equal price and a profit of $10 \%$ is made on object $B$, then the profit made on object A will be nearest to

One part of a hostel's monthly expenses is fixed, and the other part is proportional to the number of its boarders. The hostel collects $1600$ per month from each boarder. When the number of boarders is $50$, the profit of the hostel is $200$ per boarder, and when the number of boarders is $75$, the profit of the hostel is $250$ per boarder. When the number of boarders is $80$, the total profit of the hostel, in INR, will be