A discount of 25% on a product results in a selling price of $150. What was the

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Question: A discount of 25% on a product results in a selling price of $150. What was the original price? (2023)

Options:

Correct Answer: $200

Exam Year: 2023

Solution:

Let the original price be x. Then, Selling Price = x - (25% of x) = 150 => 0.75x = 150 => x = 200.

A discount of 25% on a product results in a selling price of $150. What was the original price? (2023)

A discount of 25% on a product results in a selling price of $150. What was the original price? (2023)

Step 1: Understand that a 25% discount means you pay 75% of the original price.
Step 2: Let the original price be represented by 'x'.
Step 3: Write the equation for the selling price after the discount: Selling Price = Original Price - Discount.
Step 4: Since the discount is 25% of 'x', we can write it as: Selling Price = x - (0.25 * x).
Step 5: Simplify the equation: Selling Price = 0.75 * x.
Step 6: We know the Selling Price is $150, so we can set up the equation: 0.75 * x = 150.
Step 7: To find 'x', divide both sides of the equation by 0.75: x = 150 / 0.75.
Step 8: Calculate the value: x = 200.
Step 9: Therefore, the original price of the product was $200.

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 discount.