CAT (QA) PYQs

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

On selling a pen at $5 \%$ loss and a book at $15 \%$ gain, Karim gains Rs. $7$. If he sells the pen at $5 \%$ gain and the book at $10 \%$ gain, he gains Rs. 13. What is the cost price of the book in Rupees?

Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is $12 \%$ less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to