If a shirt is sold for $40 after a discount of 20%, what was the original price

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Question: If a shirt is sold for $40 after a discount of 20%, what was the original price of the shirt?

Options:

Correct Answer: $50

Solution:

Let the original price be x. Then, 0.8x = 40, so x = 40/0.8 = $50.

If a shirt is sold for $40 after a discount of 20%, what was the original price of the shirt?

If a shirt is sold for $40 after a discount of 20%, what was the original price of the shirt?

Correct Answer: $50

Step 1: Understand that the shirt is sold for $40 after a 20% discount.
Step 2: Recognize that a 20% discount means the customer pays 80% of the original price.
Step 3: Let the original price of the shirt be represented by 'x'.
Step 4: Write the equation to represent the sale price: 0.8 * x = 40.
Step 5: To find 'x', divide both sides of the equation by 0.8: x = 40 / 0.8.
Step 6: Calculate 40 divided by 0.8, which equals 50.
Step 7: Conclude that the original price of the shirt was $50.

Percentage Discount Calculation – Understanding how to calculate the original price of an item after a percentage discount has been applied.
Algebraic Manipulation – Using algebra to solve for the original price by setting up an equation based on the discounted price.