CAT (QA) PYQs

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

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?

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