CAT (QA) PYQs

A person spent Rs $50000$ to purchase a desktop computer and a laptop computer. He sold the desktop at $20$ profit and the laptop at $10$ loss. If overall he made a $2$ profit then the purchase price, in rupees, of the desktop is

A merchant purchases a cloth at a rate of Rs. $100$ per meter and receives $5 \mathrm{~cm}$ length of cloth free for every $100 \mathrm{~cm}$ length of cloth purchased by him. He sells the same cloth at a rate of Rs. $110$ per meter but cheats his customers by giving $95 \mathrm{~cm}$ length of cloth for every $100 \mathrm{~cm}$ length of cloth purchased by the customers. If the merchant provides a $5 \%$ discount, the resulting profit earned by him is

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