A product is sold for $300 after a discount of 25%. What was the original price

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Question: A product is sold for $300 after a discount of 25%. What was the original price of the product? (2023)

Options:

Correct Answer: $400

Exam Year: 2023

Solution:

Let the original price be x. Then, Selling Price = x - (25% of x) = 300 => 0.75x = 300 => x = 400.

A product is sold for $300 after a discount of 25%. What was the original price of the product? (2023)

A product is sold for $300 after a discount of 25%. What was the original price of the product? (2023)

Step 1: Let the original price of the product be represented by 'x'.
Step 2: The product is sold for $300 after a 25% discount.
Step 3: A 25% discount means the customer pays 75% of the original price.
Step 4: Write the equation for the selling price: Selling Price = Original Price - Discount.
Step 5: Substitute the values: 300 = x - (0.25 * x).
Step 6: Simplify the equation: 300 = 0.75 * x.
Step 7: To find 'x', divide both sides by 0.75: x = 300 / 0.75.
Step 8: Calculate the value: x = 400.

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 selling price and discount.