CAT (QA) PYQs

A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up 40% of his stock. That day, he sells half of the mangoes, 96 bananas and 40% of the apples. At the end of the day, he ends up selling 50% of the fruits. The smallest possible total number of fruits in the stock at the beginning of the day is

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

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