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

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

A discount of 15% on a marked price results in a selling price of $255. What was the 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 discount of 15% means you pay 85% of the marked price (100% - 15% = 85%).
Step 4: Write the equation for the selling price after the discount: Selling Price = 0.85 * x.
Step 5: We know the selling price is $255, so we can set up the equation: 0.85x = 255.
Step 6: To find x, divide both sides of the equation by 0.85: x = 255 / 0.85.
Step 7: Calculate the value of x: x = 300.
Step 8: Conclude that the marked price is $300.

Percentage Discount – Understanding how to calculate the selling price after applying a percentage discount to a marked price.
Algebraic Manipulation – Setting up and solving equations to find unknown values.