A shopkeeper sells a shirt for Rs. 800 after giving a discount of 20%. What was

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Question: A shopkeeper sells a shirt for Rs. 800 after giving a discount of 20%. What was the original price of the shirt? (2020)

Options:

Correct Answer: Rs. 1000

Exam Year: 2020

Solution:

Let the original price be x. Then, x - 0.20x = 800 => 0.80x = 800 => x = 1000.

A shopkeeper sells a shirt for Rs. 800 after giving a discount of 20%. What was the original price of the shirt? (2020)

A shopkeeper sells a shirt for Rs. 800 after giving a discount of 20%. What was the original price of the shirt? (2020)

Step 1: Understand that the shopkeeper sells the shirt for Rs. 800 after giving a discount of 20%.
Step 2: Let the original price of the shirt be represented by 'x'.
Step 3: Calculate the amount of discount given. A 20% discount means the shopkeeper sells the shirt for 80% of the original price.
Step 4: Write the equation for the selling price after discount: x - 0.20x = 800.
Step 5: Simplify the equation: 0.80x = 800.
Step 6: To find 'x', divide both sides of the equation by 0.80: x = 800 / 0.80.
Step 7: Calculate the value: x = 1000.
Step 8: Conclude that the original price of the shirt was Rs. 1000.

Percentage Discount Calculation – Understanding how to calculate the original price of an item after a discount has been applied.