The simple interest and the true discount on a certain sum for a given time and at a given rate are $Rs.\, 85$ and $Rs.\, 80$ respectively. The sum is (in $Rs.$)

If two successive discounts of $50 \%$ and $10 \%$ are offered,what is the net discount (in $\%$) ?

The discount on $Rs. 5229$ due in $1$ $year$ $9$ $months$ reckoning compound interest at $5 \%$ is (in $Rs.$)

$A$ dealer allows a discount of $15 \%$. $A$ customer pays an amount of $Rs. 318.75$ for an article. At what price is the article listed? (in $Rs.$)

$A$ $Rs. 750$ tin of cheese is offered at $8\%$ discount and a $Rs. 1,250$ tin of butter at $20\%$ discount. If we buy $5$ tins of cheese and $3$ tins of butter,what is the effective discount we get (in $\%$)?

When a discount of $25 \%$ is given on a cruise trip,the profit is $41 \% .$ If the discount is $26 \%,$ then the profit is (in $\%$)