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A shopkeeper marked an article 48% above the cost price and sold it after giving a discount of 25%. Had he sold the article without giving any discount then he would have earned a profit of 168. Find the original selling price of the article.

Question

A shopkeeper marked an article 48% above the cost price and sold it after giving a discount of 25%. Had he sold the article without giving any discount then he would have earned a profit of 168. Find the original selling price of the article.

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Solution

Step 1: Let's assume the cost price of the article is x.

Step 2: The shopkeeper marked the price 48% above the cost price. So, the marked price becomes x + 48/100*x = 1.48x.

Step 3: The shopkeeper then gives a discount of 25% on the marked price. So, the selling price becomes 1.48x - 25/100*1.48x = 1.11x.

Step 4: If the shopkeeper sold the article without giving any discount, he would have earned a profit of 168. This means the marked price (1.48x) is 168 more than the cost price (x). So, we can write the equation as 1.48x = x + 168.

Step 5: Solving the above equation, we get x = 420. This is the cost price of the article.

Step 6: The original selling price of the article (after the discount) is 1.11x = 1.11*420 = 466.2.

So, the original selling price of the article is 466.2.

This problem has been solved

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