$A$ $20 \%$ discount is offered on an item. By applying a promo code,the customer wins $30 \%$ cash back. What is the effective discount? (in $\%$)

The price of a bicycle is marked by a trader at $Rs.\, 1000$. He sold the bicycle allowing successive discounts of $20 \%, 10 \%$ and $5 \%$. If the trader gained $14 \%$,then the cost price of the bicycle (in $rupees$) is:

If the simple interest on a certain sum for some years at $6 \%$ is $Rs. 180$,and the true discount at $5 \%$ on the same amount for the same time is $Rs. 140$,find the sum (in $Rs.$) and the time (in $years$).

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 $Rs.$)

$A$ fan is listed at $Rs. 150$ with a discount of $20 \%$. What additional discount must be offered to the customer to bring the net price to $Rs. 108$? (in $\%$)

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