The cost price of an article is ₹425. A shopkeeper gives a discount of 20% and still gains 16%. What is the marked price of the article?

Given,

Cost price of the article = ₹425

Profit% = 16%

$$=$$>  Selling price of the article = $$\frac{116}{100}\times425$$ = ₹493

Let the Marked price = M.P

Discount% = 20%

$$=$$>  $$\frac{80}{100}\times \text{M.P}=493$$

$$=$$>   $$\frac{4}{5}\times \text{M.P}=493$$

$$=$$>  $$\text{M.P}=\frac{2465}{4}$$

$$=$$>  $$\text{M.P}=616.25$$

$$\therefore\ $$Marked price of the article = ₹616.25

Hence, the correct answer is Option D