CAT (QA) PYQs

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

If a seller gives a discount of $15 \%$ on retail price, she still makes a profit of $2 \%$. Which of the following ensures that she makes a profit of $20\%$?

Amal purchases some pens at ₹ $8$ each. To sell these, he hires an employee at a fixed wage. He sells $100$ of these pens at $₹ 12$ each. If the remaining pens are sold at $₹ 11$ each, then he makes a net profit of ₹ $300$, while he makes a net loss of ₹ $300$ if the remaining pens are sold at ₹ $9$ each. The wage of the employee, in INR, is