CAT (QA) PYQs

Amal buys $110 \mathrm{~kg}$ of syrup and $120 \mathrm{~kg}$ of juice, syrup being 20% less costly than juice, per kg. He sells $10 \mathrm{~kg}$ of syrup at 10% profit and $20 \mathrm{~kg}$ of juice at $20 \%$ profit. Mixing the remaining juice and syrup, Amal sells the mixture at Rs. $308.32$ per kg and makes an overall profit of $64 \%$. Then, Amal's cost price for syrup, in rupees per kg, 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

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