$A$ man buys $10$ articles for $Rs. 8$ and sells them at $Rs. 1.25$ per article. His gain percent is

Three successive discounts of $10 \%$,$12 \%$,and $15 \%$ are equivalent to a single discount of what percentage (in $\%$)?

$A$ man sells a scooter to his friend at $10\%$ loss. If the friend sells it for $₹ 54000$ and gains $20\%$,find out the original cost price of the scooter. (in $₹$)

Mahesh purchased $25\, kg$ of rice at $Rs. 32$ per $kg$ and $15\, kg$ of rice at $Rs. 36$ per $kg.$ He mixed the two varieties of rice and sold it at $Rs. 40.20$ per $kg.$ What is the percent profit earned (in $\%$)?

$A$ man bought oranges at the rate of $8$ for $Rs. 34$ and sold them at the rate of $12$ for $Rs. 57$. How many oranges should be sold to earn a net profit of $Rs. 45$?

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: