A store offers a 25% discount on a product. If the selling price after discount

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Question: A store offers a 25% discount on a product. If the selling price after discount is $75, what was the original price? (2023)

Options:

Correct Answer: $100

Exam Year: 2023

Solution:

Let the original price be x. Selling Price = Original Price - Discount = x - 0.25x = 0.75x. Thus, 0.75x = 75, so x = 100.

A store offers a 25% discount on a product. If the selling price after discount is $75, what was the original price? (2023)

A store offers a 25% discount on a product. If the selling price after discount is $75, what was the original price? (2023)

Step 1: Let the original price of the product be represented by 'x'.
Step 2: The store offers a 25% discount on the original price.
Step 3: Calculate the amount of the discount: 25% of 'x' is 0.25x.
Step 4: The selling price after the discount is the original price minus the discount: Selling Price = x - 0.25x.
Step 5: Simplify the equation: Selling Price = 0.75x.
Step 6: We know the selling price after the discount is $75, so we can write the equation: 0.75x = 75.
Step 7: To find 'x', divide both sides of the equation by 0.75: x = 75 / 0.75.
Step 8: Calculate the value: x = 100.
Step 9: Therefore, the original price of the product was $100.

Percentage Discount – Understanding how to calculate the selling price after applying a percentage discount to the original price.
Algebraic Manipulation – Using algebra to solve for the original price by setting up an equation based on the relationship between original price, discount, and selling price.