CAT (QA) PYQs

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

If Fatima sells $60$ identical toys at a $40\%$ discount on the printed price, then she makes $20\%$ profit. Ten of these toys are destroyed in a fire. While selling the rest, how much discount$\%$ should be given on the printed price so that she can make the same amount of profit?

Two types of tea, $A$ and $B$, are mixed and then sold at Rs. $40$ per kg. The profit is $10 \%$ if A and B are mixed in the ratio $3: 2$, and $5 \%$ if this ratio is $2: 3$. The cost prices, per kg , of $A$ and $B$ are in the ratio