If a product is sold for $150 after a discount of 25%, what was the original pri

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Question: If a product is sold for $150 after a discount of 25%, what was the original price?

Options:

Correct Answer: $200

Solution:

Let the original price be x. After a 25% discount, the selling price is x - (0.25 * x) = 0.75x. Thus, 0.75x = $150, so x = $150 / 0.75 = $200.

If a product is sold for $150 after a discount of 25%, what was the original price?

If a product is sold for $150 after a discount of 25%, what was the original price?

Step 1: Let the original price be represented by 'x'.
Step 2: A 25% discount means the price is reduced by 25% of 'x'.
Step 3: Calculate the discount amount: 25% of 'x' is 0.25 * x.
Step 4: The selling price after the discount is the original price minus the discount: x - (0.25 * x).
Step 5: Simplify the equation: x - (0.25 * x) = 0.75 * x.
Step 6: We know the selling price is $150, so we 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 result: x = 200.

Percentage Discount – Understanding how to calculate the original price from a selling price after a percentage discount.
Algebraic Manipulation – Using algebra to solve for the unknown variable (original price) in an equation.