A shopkeeper gives a discount of $25\%$ on the marked price of an article and still earns a profit of $20\%$ on his outlay, If he had not given any discount, then the profit on his outlay would have been

Let the cost price be 100. Since the profit is 20 percent, the selling price after discount is 120. This 120 represents 75 percent of the marked price because a 25 percent discount was given. Solving 0.75 times marked price equals 120 gives a marked price of 160. Without any discount, the article sells for 160, yielding a profit of 60 over the 100 cost price, which is a 60 percent profit.

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