A shirt is sold for $240 after a discount of 20%. What was the original price of

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Question: A shirt is sold for $240 after a discount of 20%. What was the original price of the shirt?

Options:

Correct Answer: $200

Solution:

Let the original price be x. After a 20% discount, the selling price is x - 0.2x = 0.8x. Given 0.8x = 240, we find x = 240 / 0.8 = 300.

A shirt is sold for $240 after a discount of 20%. What was the original price of the shirt?

A shirt is sold for $240 after a discount of 20%. What was the original price of the shirt?

Correct Answer: 300

Step 1: Understand that the shirt is sold for $240 after a discount of 20%.
Step 2: Let the original price of the shirt be represented by 'x'.
Step 3: Calculate the amount of the discount. A 20% discount means you pay 80% of the original price.
Step 4: Write the equation for the selling price after the discount: Selling Price = Original Price - Discount.
Step 5: Substitute the values into the equation: 240 = x - 0.2x.
Step 6: Simplify the equation: 240 = 0.8x.
Step 7: To find 'x', divide both sides of the equation by 0.8: x = 240 / 0.8.
Step 8: Calculate the value: x = 300.
Step 9: Conclude that the original price of the shirt was $300.

Percentage Discount – Understanding how to calculate the original price from a discounted price using percentage.
Algebraic Manipulation – Using algebra to solve for the original price by setting up an equation.