A discount of 15% on a marked price results in a selling price of $255. What was the marked price?
Practice Questions
1 question
Q1
A discount of 15% on a marked price results in a selling price of $255. What was the marked price?
$300
$280
$270
$250
Let the marked price be x. After a 15% discount, the selling price is 0.85x. Setting this equal to $255 gives 0.85x = $255, so x = $255 / 0.85 = $300.
Questions & Step-by-step Solutions
1 item
Q
Q: A discount of 15% on a marked price results in a selling price of $255. What was the marked price?
Solution: Let the marked price be x. After a 15% discount, the selling price is 0.85x. Setting this equal to $255 gives 0.85x = $255, so x = $255 / 0.85 = $300.
Steps: 8
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.
