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

In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys $80 \mathrm{~kg}$ good mangoes and $40 \mathrm{~kg}$ medium quality mangoes from the market and then sells all these at a common price which is $10 \%$ less than the price at which he bought the good ones. His overall profit is

Mukesh purchased $10$ bicycles in $2017$, all at the same price. He sold six of these at a profit of $25 \%$ and the remaining four at a loss of $25 \%$. If he made a total profit of Rs. $2000,$ then his purchase price of a bicycle, in Rupees, was