CAT (QA) PYQs

Anil buys $12$ toys and labels each with the same selling price. He sells $8$ toys initially at $20 \%$ discount on the labeled price. Then he sells the remaining $4$ toys at an additional $25 \%$ discount on the discounted price. Thus, he gets a total of Rs $2112,$ and makes a $10\%$ profit. With no discounts, his percentage of profit would have been

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