CAT (QA) PYQs

An item with a cost price of Rs. 1650 is sold at a certain discount on a fixed marked price to earn a profit of 20% on the cost price. If the discount was doubled, the profit would have been Rs. 110. The rate of discount, in percentage, at which the profit percentage would be equal to the rate of discount, is nearest to

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

Jayant bought a certain number of white shirts at the rate of Rs $1000$ per piece and a certain number of blue shirts at the rate of Rs $1125$ per piece. For each shirt, he then set a fixed market price which was $25 \%$ higher than the average cost of all the shirts. He sold all the shirts at a discount of $10 \%$ and made a total profit of Rs $51000$. If he bought both colors of shirts, then the maximum possible total number of shirts that he could have bought is