A discount of 15% on a product results in a selling price of $255. What was the

A discount of 15% on a product results in a selling price of $255. What was the marked price?

A discount of 15% on a product results in a selling price of $255. What was the marked price?

Step 1: Understand that the selling price after a discount is given by the formula: Selling Price = Marked Price - Discount.
Step 2: Let the marked price be represented by 'x'.
Step 3: Since there is a 15% discount, the discount amount can be calculated as 0.15 * x.
Step 4: Therefore, the selling price can be expressed as: Selling Price = x - (0.15 * x).
Step 5: Simplify the equation: Selling Price = 0.85 * x.
Step 6: We know the selling price is $255, so we set up the equation: 0.85 * x = 255.
Step 7: To find 'x', divide both sides of the equation by 0.85: x = 255 / 0.85.
Step 8: Calculate the value: x = 300.
Step 9: Conclude that the marked price is $300.

Percentage Discount Calculation – Understanding how to calculate the selling price after applying a percentage discount to the marked price.
Algebraic Manipulation – Using algebra to isolate variables and solve for the marked price based on the selling price.