By selling an article at 18 25 of its actual selling price, a loss of 19% is ​ incurred. What is the profit percentage on selling it at its actual selling price?

Explanation

Given: By selling an article at 18 of selling price, a trader incurred a loss of 19% 25 ​ Formula Used: Loss% = (cost price - selling price)/cost price × 100 Profit% = (selling price - cost price)/cost price × 100 Calculation: Let the cost price of that article be Rs. 100x Selling price when sold at 18 of original selling price = 100x - 100x × 19% 25 ​ ⇒ 81x Original selling price = 81x × 25 = 112.5x 18 ​ Required profit % = [(112.5x - 100x)/100x] × 100 ⇒ 12.5% ∴ T he profit percentage on selling it at its actual selling price is 12.5%.