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

Find the present worth $(P.W.)$ and the true discount $(T.D.)$ reckoning $6 \%$ per annum simple interest of $Rs. 176$ due in $20 \text{ months}$ time. (in $Rs.$)

The present worth of $Rs. 220.50$ due in $2$ years reckoning compound interest at $5 \%$ per annum is (in $Rs.$):

$A$ bill is discounted at $5 \%$ per annum. If banker's discount be allowed, at what rate of interest must the proceeds be invested, so that nothing is lost? (in $\%$)

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

$A$ bill for $Rs. 8000$ is drawn on September $19$ for $6$ months. It is discounted on January $8$ at $10\%$. Find the banker's discount,true discount,banker's gain,and the money that the holder of the bill receives (in $Rs.$).