$A$ bill which is due at the end of $4 \text{ years}$ is now worth $Rs. 575$,but if it is due in $2 \frac{1}{2} \text{ years}$,it would now be worth $Rs. 620$. The sum of the bill is (in $Rs.$)

If the true discount on $Rs. 249$ at $5\%$ simple interest $(S.I.)$ is $Rs. 9$,when is the sum due? (in months)

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 $Rs.$).

If on a marked price,the difference between the selling prices with a single discount of $30 \%$ and two successive discounts of $20 \%$ and $10 \%$ is $Rs.\, 72$,then the marked price (in $rupees$) is:

Find the present worth of a bill of $Rs.\, 3720$ which is due for $2\, years$ at $12 \%$ compound interest,being compounded annually. (in $Rs.$)

$A$ has to pay $Rs. 220$ to $B$ after $1$ year. $B$ asks $A$ to pay $Rs. 110$ in cash and defers the payment of the remaining $Rs. 110$ for $2$ years. $A$ agrees to it. Counting the rate of interest at $10\%$ per annum in this new mode of payment,which of the following is true?