Shuarya marked an article at 40% above its cost price. He sells it after allowing a discount of 15%. The profit percentage of the article is:

Let's assume the cost price of the article is 100y.    Eq.(i)

Shuarya marked an article at 40% above its cost price.

MRP = 100y of (100+40)%

= 100y of 140%

= 140y

He sells it after allowing a discount of 15%. 

The selling price of the article = 140y of (100-15)%

= 140y of 85%

= 119y    Eq.(ii)

The profit percentage of the article = $$\frac{\left(Eq.(ii)-Eq.(i)\right)}{Eq.(i)}\times100$$

= $$\frac{\left(119y-100y\right)}{100y}\times100$$

= $$\frac{19y}{100y}\times100$$

= 19%