A shopkeeper sold an article for ₹180 by making a profit of 20%. The shopkeeper offered a discount of ₹30 on the marked price. How much percent above the cost price the article is marked?

A shopkeeper sold an article for ₹180 by making a profit of 20%.

(100+20)% of cost price of article = 180

120% of cost price of article = 180

cost price of article = $$\frac{180}{120}\times100$$

cost price of article = 150    Eq.(i)

The shopkeeper offered a discount of ₹30 on the marked price.

marked price of article = 180+30 = 210    Eq.(ii)

Marked up percentage on article = $$\frac{\left(Eq.(ii)-Eq.(i)\right)}{Eq.(i)}\times\ 100$$

= $$\frac{\left(210-150\right)}{150}\times100$$

= $$\frac{60}{150}\times100$$

= $$\frac{2}{5}\times100$$

= 40%