CAT (QA) PYQs

Minu purchases a pair of sunglasses at Rs. $1000$ and sells to Kanu at $20 \%$ profit. Then, Kanu sells it back to Minu at $20 \%$ loss. Finally, Minu sells the same pair of sunglasses to Tanu. If the total profit made by Minu from all her transactions is Rs. $500$, then the percentage of profit made by Minu when she sold the pair of sunglasses to Tanu is

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 Fatima sells $60$ identical toys at a $40\%$ discount on the printed price, then she makes $20\%$ profit. Ten of these toys are destroyed in a fire. While selling the rest, how much discount$\%$ should be given on the printed price so that she can make the same amount of profit?