The banker's gain on a certain sum of money due for $9$ months at $4 \%$ $p.a.$ is $Rs. 2.25$. The sum is (in $Rs.$)

If a shopkeeper allows a $20 \%$ discount on his advertised price and makes a profit of $25 \%$ on his outlay,what is the advertised price (in $Rs.$) on which he gains $Rs. 6000$?

When a discount of $25 \%$ is given on a cruise trip,the profit is $41 \% .$ If the discount is $26 \%,$ then the profit is (in $\%$)

The price of a chair is $Rs.\, 500$. It has been sold at two successive discounts of $10\%$ each. What is its selling price? (in $Rs.$)

$A$ retailer marks up his goods by $150 \%$ and offers a $40 \%$ discount. What will be the selling price (in $Rs.$) if the cost price is $Rs.\, 800$?

If the shopkeeper sells an item at $Rs. 960$ which is marked as $Rs. 1200$, what is the discount he is offering? (in $\%$)