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 marked price of the shirt? (2020)

Options:

Correct Answer: Rs. 1000

Exam Year: 2020

Solution:

Let marked price = x. Then, 0.8x = 800 => x = 800/0.8 = 1000.

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

A shopkeeper sells a shirt for Rs. 800 after giving a discount of 20%. What was the marked 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 marked price of the shirt be represented as 'x'.
Step 3: Since there is a 20% discount, the shopkeeper sells the shirt for 80% of the marked price. This can be written as 0.8x.
Step 4: Set up the equation: 0.8x = 800, because the selling price after discount is Rs. 800.
Step 5: To find the marked price 'x', divide both sides of the equation by 0.8: x = 800 / 0.8.
Step 6: Calculate the value: 800 divided by 0.8 equals 1000.
Step 7: Therefore, the marked price of the shirt is Rs. 1000.

Percentage Discount Calculation – Understanding how to calculate the marked price from the selling price after applying a percentage discount.
Algebraic Manipulation – Using algebra to isolate variables and solve for the marked price.