CAT (QA) PYQs

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

On selling a pen at $5 \%$ loss and a book at $15 \%$ gain, Karim gains Rs. $7$. If he sells the pen at $5 \%$ gain and the book at $10 \%$ gain, he gains Rs. 13. What is the cost price of the book in Rupees?