If a product is sold for $150 after a discount of 25%, what was its marked price

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

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

Step 1: Understand that the marked price is the original price before any discount.
Step 2: Let the marked price be represented by the variable x.
Step 3: A 25% discount means the price is reduced by 25% of x.
Step 4: Calculate the amount of the discount: 25% of x is 0.25 * x.
Step 5: The selling price after the discount is the marked price minus the discount: x - (0.25 * x).
Step 6: Simplify the expression: x - 0.25x = 0.75x.
Step 7: We know the selling price is $150, so set up the equation: 0.75x = 150.
Step 8: To find x, divide both sides of the equation by 0.75: x = 150 / 0.75.
Step 9: Calculate the value: x = 200.
Step 10: Therefore, the marked price is $200.

Percentage Discount – Understanding how to calculate the selling price after applying a percentage discount to the marked price.
Algebraic Manipulation – Using algebra to set up and solve equations based on the relationship between marked price, discount, and selling price.