CAT (QA) PYQs

A wholesaler bought walnuts and peanuts, the price of walnut per kg being thrice that of peanut per kg . He then sold $8 \mathrm{~kg}$ of peanuts at a profit of $10 \%$ and $16 \mathrm{~kg}$ of walnuts at a profit of $20 \%$ to a shopkeeper. However, the shopkeeper lost $5 \mathrm{~kg}$ of walnuts and $3 \mathrm{~kg}$ of peanuts in transit. He then mixed the remaining nuts and sold the mixture at Rs. $166$ per kg, thus making an overall profit of $25 \%$. At what price, in Rs. per kg, did the wholesaler buy the walnuts?

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

Anil buys $12$ toys and labels each with the same selling price. He sells $8$ toys initially at $20 \%$ discount on the labeled price. Then he sells the remaining $4$ toys at an additional $25 \%$ discount on the discounted price. Thus, he gets a total of Rs $2112,$ and makes a $10\%$ profit. With no discounts, his percentage of profit would have been