CAT (QA) PYQs

A man buys $35$ kg of sugar and sets a marked price in order to make a $20\%$ profit. He sells $5$ kg at this price, and $15$ kg at a $10\%$ discount. Accidentally, $3$ kg of sugar is wasted. He sells the remaining sugar by raising the marked price by $p$ percent so as to make an overall profit of $15\%$. Then $p$ is nearest to

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

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