If the simple interest on $Rs. 2000$ at $5\%$ $p.a.$ is equal to the true discount on $Rs. 2500$ for the same time and at the same rate,the time is (in $years$)

The marked price of an article is $20 \%$ more than its cost price. If $5 \%$ discount is given on the marked price,what is the profit percent (in $\%$)?

Ramesh marks his goods $30 \%$ above cost price. If he sells the item for $Rs. 910$ after allowing a discount of $15 \%$,find his cost price (in $Rs.$).

$A$ sells a car priced at $Rs. 36,000$. He gives a discount of $8\%$ on the first $Rs. 20,000$ and $5\%$ on the remaining $Rs. 16,000$. $B$ also sells a car of the same make,priced at $Rs. 36,000$. He gives a discount of $7\%$ on the total price. Calculate the actual prices charged by $A$ and $B$ for the cars (in $Rs.$).

The banker's gain on a bill due $1$ $year$ hence at $15 \%$ p.a. is $Rs.\, 9$. The true discount is (in $Rs.$)

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 $Rs.$)