$A$ retailer marks up his goods by $150 \%$ and offers a $40 \%$ discount. What will be the selling price (in $Rs.$) if the cost price is $Rs.\, 800$?

Successive discounts of $10 \%$,$20 \%$,and $30 \%$ are equivalent to a single discount of (in $\%$):

$A$ $Rs. 750$ 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 $\%$)?

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

The true discount on a certain bill due for nine months at $4 \%$ simple interest is $Rs.\, 150$. Find the amount of the bill (in $Rs.$).

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