The marked price of an article is $$\frac{7}{5}$$ of the cost price. If a discount of 20% is given on the marked price, then what is the profit percentage?

The marked price of an article is $$\frac{7}{5}$$ of the cost price.

Let's assume the cost price of the article is 500y.

marked price of the article = $$500y\times\frac{7}{5}$$

= 700y

If a discount of 20% is given on the marked price.

selling price = 700y of (100-20)%

= 700y of 80%

= 560y

Profit percentage = $$\frac{\left(selling\ price\ -\cos t\ price\right)}{\cos t\ price}\times\ 100$$

= $$\frac{\left(560y\ -500y\right)}{500y}\times\ 100$$

= $$\frac{60y}{500y}\times\ 100$$

= 12%