Anil bought an item with $12 \frac{1}{2} \%$ discount on the labelled price. He sold the item with $17 \frac{1}{2} \%$ profit on the labelled price. What was his percent profit on the price he bought?

Divyam bought an article with $15 \%$ discount on the labelled price. He sold the article with $10 \%$ profit on the labelled price. What was his percent profit on the price he bought?

The cost price of $20$ articles is the same as the selling price of $x$ articles. If the profit is $25 \%$,then the value of $x$ is:

$A$ loss of $19 \%$ gets converted into a profit of $17 \%$ when the selling price is increased by $Rs. 162$. The cost price of the article is (in $Rs.$)

$A$ shopkeeper sold one-third of his goods at a loss of $15 \%$. To get a profit of $10 \%$ on the whole transaction,he should sell the remaining articles at a profit of in $\%$?

The marked price of an article is $Rs. 5000$. Due to a special festive offer,a certain percentage of discount is declared. Mr. $X$ availed this opportunity and bought the article at the reduced price. He then sold it at $Rs. 5000$ and thereby made a profit of $11 \frac{1}{9} \%$. The percentage of discount allowed was: