CAT (QA) PYQs

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

Two types of tea, $A$ and $B$, are mixed and then sold at Rs. $40$ per kg. The profit is $10 \%$ if A and B are mixed in the ratio $3: 2$, and $5 \%$ if this ratio is $2: 3$. The cost prices, per kg , of $A$ and $B$ are in the ratio

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