After giving 20% discount on an article there is a profit of 20%. What will be the profit percentage when no discount is given?

Let marked price = Rs. 100

Discount % = 20%

=> Selling price = $$100-(\frac{20}{100}\times100)$$

= $$100-20=Rs.$$ $$80$$

Also, profit % = 20%

=> Cost price = $$\frac{80}{(100+20)}\times100$$

= $$\frac{2}{3}\times100=Rs.$$ $$\frac{200}{3}$$

When no discount is given, => Selling price = Rs. $$100$$

$$\therefore$$ Profit % = $$[(100-\frac{200}{3})\div(\frac{200}{3})]\times100$$

= $$\frac{300-200}{200}\times100$$

= $$\frac{100}{2}=50\%$$

=> Ans - (D)