CAT (QA) PYQs

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?

If a seller gives a discount of $15 \%$ on retail price, she still makes a profit of $2 \%$. Which of the following ensures that she makes a profit of $20\%$?

A shopkeeper sells two tables, each procured at cost price $p$, to Amal and Asim at a profit of $20\%$ and at a loss of $20\%$, respectively. Amal sells his table to Bimal at a profit of $30\%$, while Asim sells his table to Barun at a loss of $30\%$. If the amounts paid by Bimal and Barun are $x$ and $y$, respectively, then $(x -y) / p$ equals