What will be the percentage profit on selling an article at a certain price if there is a loss of $25\%$ when the article is solid at half of the previous selling price ?

Let the cost price be 100. Since selling at half the previous selling price results in a 25% loss, the half selling price is 75. This means the full, previous selling price is 75 x 2 = 150. Using the profit percent formula (Profit / Cost Price) x 100, the profit is (50 / 100) x 100 = 50%. The profit percent is 50%.

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