On selling an article for ₹115, the gain is 20% more than the loss incurred on selling it for ₹104. If the article is sold for ₹130.80, then the profit percentage is:

The selling price of article = Rs 115

If selling price would be = Rs 104

then gain = 20 % max

let the Cost price of article Rs $$x$$

$$\Rightarrow\dfrac{115-x}{1} = \dfrac{120}{100} \times \dfrac {x-104}{1} $$

$$\Rightarrow\dfrac{115-x}{1} = \dfrac{6}{5}\times \dfrac{x-104}{1}$$

$$\Rightarrow (115-x) \times 5 = 6\times (x-104)$$

$$\Rightarrow 575-5x = 6x-624 $$

$$\Rightarrow 11x =1119 $$

$$\Rightarrow x = 109 $$

If selling price would be = 130.80 

profit = 130.80-109 = 21.80

then profit % = $$\dfrac{21.80} {109} \times 100 $$

= 20 % Ans