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?

The monthly sales of a product from January to April were 120, 135, 150 and 165 units, respectively. The cost price of the product was Rs. 240 per unit, and a fixed marked price was used for the product in all the four months. Discounts of 20%, 10% and 5% were given on the marked price per unit in January, February and March, respectively, while no discounts were given in April. If the total profit from January to April was Rs. 138825, then the marked price per unit, in rupees, was

Mukesh purchased $10$ bicycles in $2017$, all at the same price. He sold six of these at a profit of $25 \%$ and the remaining four at a loss of $25 \%$. If he made a total profit of Rs. $2000,$ then his purchase price of a bicycle, in Rupees, was