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

If the banker's discount on a certain sum in $2$ years at a certain rate is $Rs. 150$ and the simple interest on the same sum in $3$ years is $Rs. 240$,find the sum (in $Rs.$) and the rate of interest (in $\%$).

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 $\%$)

At a given rate,the simple interest and the true discount on a certain sum,for a given time,are $Rs. 24$ and $Rs. 22$ respectively. The sum is (in $Rs.$)

The true discount on a bill of $Rs.\, 1260$ due for $6$ months at $10 \%$ per annum is (in $Rs.$):

What will be the net discount (in $percentage$) after two successive discounts of $50 \%$ and $50 \% ?$