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?

If the cost price of $20$ tables is equal to the selling price of $25$ tables,find the loss percentage. (in $\%$)

$A$ manufacturer undertakes to supply $2000$ pieces of a particular component at $Rs. 25$ per piece. According to his estimates,even if $5\%$ fail to pass the quality tests,he will make a profit of $25\%$. However,as it turned out,$50\%$ of the components were rejected. What is the loss to the manufacturer? (in $Rs.$)

$A$ shopkeeper sold some articles at $Rs. 35$ per piece and gained $40 \%$. What would be the selling price of each article to earn $60 \%$ profit? (in $Rs.$)

$A$ trader marks his goods $40 \%$ above the cost price and allows a discount of $25 \%$. The profit he makes,is in $\%$:

An article is listed at $Rs. 65$. $A$ customer bought this article for $Rs. 56.16$ and received two successive discounts,of which one is $10 \%$. Find the other discount in this discount scheme offered by the shopkeeper (in $\%$).