A shopkeeper sells an article for Rs. 800 after allowing a discount of 20%. What

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Question: A shopkeeper sells an article for Rs. 800 after allowing a discount of 20%. What is the marked price of the article?

Options:

Correct Answer: Rs. 960

Solution:

Let the marked price be x. After a 20% discount, selling price = x - 0.2x = 0.8x. So, 0.8x = 800, hence x = 1000.

A shopkeeper sells an article for Rs. 800 after allowing a discount of 20%. What is the marked price of the article?

A shopkeeper sells an article for Rs. 800 after allowing a discount of 20%. What is the marked price of the article?

Step 1: Understand that the shopkeeper sells an article for Rs. 800 after giving a discount.
Step 2: Know that the discount given is 20%.
Step 3: Let the marked price (the original price before discount) be represented by 'x'.
Step 4: Calculate the selling price after the discount. The selling price is 80% of the marked price because 100% - 20% = 80%.
Step 5: Write the equation for the selling price: 0.8x = 800.
Step 6: To find 'x', divide both sides of the equation by 0.8: x = 800 / 0.8.
Step 7: Calculate the value: x = 1000.
Step 8: Conclude that the marked price of the article is Rs. 1000.

Discount Calculation – Understanding how to calculate the selling price after applying a discount to the marked price.
Algebraic Manipulation – Using algebra to solve for the marked price based on the relationship between selling price, marked price, and discount.