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 $50 \% ?$

$A$ man bought a watch for $10 \%$ discount. If he had bought it for $20 \%$ discount,he would have saved $Rs.\, 125$ more. The marked price of the watch is (in $Rs.$):

An article is sold for $Rs. 6552$ after a discount of $22 \%$. What is the marked price (in $Rs.$) of the article?

What will be the net discount (in $\%$) after giving three successive discounts of $10 \%$,$20 \%$,and $30 \%$?

The difference between the simple interest and the true discount on a certain sum of money for $2$ years at $15 \%$ per annum at simple interest is $Rs. 45$. Find the sum (in $Rs.$).