The cost price of an article is ₹120. A dealer marks it $35\%$ above its cost price. If he sells it after giving a $15\%$ discount on its marked price, then his profit per cent is?

Note: The exact cost price value (₹120) is not required to calculate the profit percentage.Let the Cost Price (CP) be $100$.Marked Price (MP) is $35\%$ above CP:
$$\text{MP}=100+35=135$$
Discount of $15\%$ is given on MP:
$$\text{Discount}=135\times \frac{15}{100}=20.25$$
Selling Price (SP):
$$\text{SP}=\text{MP}-\text{Discount}=135-20.25=114.75$$
Profit percentage:
$$\text{Profit}\%=\text{SP}-\text{CP}=114.75-100=14.75\%=14\frac{3}{4}\%$$