If a shopkeeper sells $25$ articles at $Rs. 45$ per article after giving $10 \%$ discount and earns $50 \%$ profit. If the discount is not given,what is the profit percentage gained?

$A$ shopkeeper sold a $TV$ set for $Rs. 17940$ with a discount of $8 \%$ and earned a profit of $19.6 \%$. What would have been the percentage of profit earned if no discount was offered (in $\%$)?

Raman,Manan,and Kamal are partners and invest in a business such that Raman invests $\frac{2}{5}$ of the total and Manan invests $\frac{3}{8}$ of the total. What is the ratio of profits of Raman,Manan,and Kamal respectively?

Articles are marked at a price which gives a profit of $25 \%$. After allowing a certain discount,the profit reduces to $12\frac{1}{2} \%$. The discount percent is: (in $\%$)

An article is sold at a certain fixed price. By selling it at $\frac{2}{3}$ of that price,one loses $10 \%$. The gain percent on selling it at the original price is

Sonal buys mangoes at the rate of $3 \, \text{kg}$ for $Rs. 21$ and sells them at $5 \, \text{kg}$ for $Rs. 50$. To earn a profit of $Rs. 102$, he must sell how many mangoes in $\text{kg}$?