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 $\%$.

Oil equal to $20 \%$ of the weight of groundnut is extracted in a mill. The matter left after extraction is sold as cattle feed at the rate of $Rs. 12.5$ per $kg$. The groundnuts are bought at $Rs. 20$ per $kg$ and the processing cost is $Rs. 5$ per $kg$. At what price ($Rs.$ per $kg$) should the oil be sold to earn $20 \%$ profit on total costs (Total cost $=$ cost of groundnuts and processing costs)?

$A$ shopkeeper labeled the price of his articles in order to earn a profit of $30 \%$ on the cost price. He,then,sold the articles by offering a discount of $10 \%$ on the labelled price. What is the actual rate of profit he earned in the deal? (in $\%$)

Gita buys a plot of land for $Rs. 96,000$. She sells $\frac{2}{5}$ of it at a loss of $6\%$. She wants to make a profit of $10\%$ on the whole transaction by selling the remaining land. The gain percentage on the remaining land is

When a plot was sold for $Rs. 18700$,the owner lost $15 \%$. At what price must the plot be sold in order to gain $15 \%$?

The cost price of an article is $64 \%$ of the marked price. The gain percentage after allowing a discount of $12 \%$ on the marked price is........$\%$