The true discount on a bill of $Rs. 5450$ due in $9$ months is $Rs. 450$. Find the rate of interest (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 $Rs.$)

True discount on $Rs. 3024$ due $6$ months hence is $Rs. 144$. The rate percent is: (in $\%$)

The $B.G.$ (Banker's Gain) on a sum due $3 \text{ years}$ at $10 \%$ per annum is $Rs. 180$. The $B.D.$ (Banker's Discount) is (in $Rs.$):

$A$ person bought an article for $Rs. 2500$ and sold it the same day for $Rs. 3410$,allowing a credit of $2$ years. If the rate of interest is $12\%$ per annum,then the gain of the man is (in $\%$):

If two successive discounts of $20 \%$ and $30 \%$ are given,what is the net discount (in $\%$) ?