If a product is sold for $120 after a discount of 20%, what was the original pri

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Question: If a product is sold for $120 after a discount of 20%, what was the original price?

Options:

Correct Answer: $150

Solution:

Let the original price be x. Selling Price = x - 20% of x = x - 0.2x = 0.8x. Therefore, 0.8x = 120. x = 120 / 0.8 = 150.

If a product is sold for $120 after a discount of 20%, what was the original price?

If a product is sold for $120 after a discount of 20%, what was the original price?

Step 1: Understand that the product is sold for $120 after a discount of 20%.
Step 2: Let the original price be represented by 'x'.
Step 3: Calculate the amount of the discount: 20% of 'x' is 0.2x.
Step 4: The selling price after the discount is the original price minus the discount: Selling Price = x - 0.2x.
Step 5: Simplify the equation: Selling Price = 0.8x.
Step 6: Set up the equation with the selling price: 0.8x = 120.
Step 7: To find 'x', divide both sides of the equation by 0.8: x = 120 / 0.8.
Step 8: Calculate the result: x = 150.
Step 9: Conclude that the original price of the product was $150.

Percentage Discount – Understanding how to calculate the original price from a selling price after a percentage discount has been applied.
Algebraic Manipulation – Using algebra to isolate the variable representing the original price.