After allowing 10% discount on the marked price of an article, a person makes a profit of 16%. If the cost price of the article is ₹648, then its marked price is:

Let the market price = Rs $$x$$

given that discount = 10 % 

so selling price = Rs $$(x - \dfrac{10}{100} of x)$$

$$\Rightarrow Rs \dfrac{90x}{100} $$

again given that profit = 16% and cost price = Rs 648 

so selling price = $$Rs (648 + \dfrac{16}{100} of 648 ) $$

$$\Rightarrow Rs \dfrac{116}{100}\times 648 $$

By the problem$$ \dfrac{116}{100} 648 = \dfrac{90x}{100}$$

$$\Rightarrow x = \dfrac{116\times 648}{90} $$

$$\Rightarrow x = Rs 835.2 $$Ans