A discount of 10% on a marked price results in a selling price of $90. What is t

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Question: A discount of 10% on a marked price results in a selling price of $90. What is the marked price? (2023)

Options:

Correct Answer: $100

Exam Year: 2023

Solution:

Let the marked price be x. Selling Price = Marked Price - Discount = x - 0.1x = 0.9x. Thus, 0.9x = 90, so x = 100.

A discount of 10% on a marked price results in a selling price of $90. What is the marked price? (2023)

A discount of 10% on a marked price results in a selling price of $90. What is the marked price? (2023)

Step 1: Let the marked price be represented by the variable x.
Step 2: A discount of 10% means you pay 90% of the marked price. This can be written as Selling Price = Marked Price - Discount.
Step 3: The discount can be calculated as 10% of x, which is 0.1x. So, the Selling Price can be written as: Selling Price = x - 0.1x.
Step 4: Simplifying the equation from Step 3 gives us Selling Price = 0.9x.
Step 5: We know the Selling Price is $90, so we can set up the equation: 0.9x = 90.
Step 6: To find x, divide both sides of the equation by 0.9: x = 90 / 0.9.
Step 7: Calculate the value: x = 100.
Step 8: Therefore, the marked price is $100.

Percentage Discount – 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.