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 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?