If a store sells an item for $80 after applying a discount of 20%, what was the

If a store sells an item for $80 after applying a discount of 20%, what was the marked price?

If a store sells an item for $80 after applying a discount of 20%, what was the marked price?

Step 1: Understand that the store sells an item for $80 after a discount.
Step 2: Know that the discount is 20% of the marked price.
Step 3: Let the marked price be represented by 'x'.
Step 4: Calculate the selling price after the discount: Selling Price = Marked Price - Discount.
Step 5: The discount can be calculated as 20% of 'x', which is 0.20 * x.
Step 6: Therefore, the selling price can be written as: Selling Price = x - (0.20 * x).
Step 7: Simplify the equation: Selling Price = 0.80 * x.
Step 8: Set the selling price equal to $80: 0.80 * x = 80.
Step 9: To find 'x', divide both sides of the equation by 0.80: x = 80 / 0.80.
Step 10: Calculate the value: x = 100.
Step 11: Conclude that the marked price is $100.

Percentage Discount Calculation – Understanding how to calculate the selling price after applying a percentage discount to the marked price.
Algebraic Manipulation – Using algebra to solve for the marked price by setting up an equation based on the relationship between marked price, discount, and selling price.