$A$ shopkeeper sold an article for $Rs. 400$ after giving a $20\%$ discount on the labelled price and made a $30\%$ profit on the cost price. What would have been the percentage profit,had he not given the discount (in $\%$)?

The list price of a book is $Rs. 100$. $A$ dealer sells three such books for $Rs. 274.50$ after allowing a discount at a certain rate. Find the rate of discount in $\%$.

If the cost price of an item is $\frac{2}{5}$ of its marked price and if it is sold at a discount of $10 \%,$ then there will be

$A$ man bought $4$ dozen eggs at $Rs. 24$ per dozen and $2$ dozen eggs at $Rs. 32$ per dozen. To gain $20\%$ on the whole,he should sell the eggs at what price in $Rs.$ per dozen?

$A$ trader buys goods at a $20 \%$ discount on the marked price. If he wants to make a profit of $25 \%$ after allowing a discount of $20 \%$ on his new marked price,by what percent should his new marked price be greater than the original marked price?

$A$ shopkeeper sells $25$ articles at $Rs. 45$ per article after giving a $10 \%$ discount and earns a $50 \%$ profit. If no discount is given,the profit percentage gained is......$\%$