CAT (QA) PYQs

Ankita buys $4 \mathrm{~kg}$ cashews, $14 \mathrm{~kg}$ peanuts and $6 \mathrm{~kg}$ almonds when the cost of $7 \mathrm{~kg}$ cashews is the same as that of $30 \mathrm{~kg}$ peanuts or $9 \mathrm{~kg}$ almonds. She mixes all the three nuts and marks a price for the mixture in order to make a profit of Rs.1752. She sells $4$ kg of the mixture at this marked price and the remaining at a $20 \%$ discount on the marked price, thus making a total profit of Rs. 744. Then the amount, in rupees, that she had spent in buying almonds is

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?

In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys $80 \mathrm{~kg}$ good mangoes and $40 \mathrm{~kg}$ medium quality mangoes from the market and then sells all these at a common price which is $10 \%$ less than the price at which he bought the good ones. His overall profit is