A discount of 25% on a marked price results in a selling price of $75. What was

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Question: A discount of 25% on a marked price results in a selling price of $75. What was the marked price?

Options:

Correct Answer: $90

Solution:

Let the marked price be x. Selling Price = x - 25% of x = 0.75x. Thus, 0.75x = 75, so x = 100.

A discount of 25% on a marked price results in a selling price of $75. What was the marked price?

A discount of 25% on a marked price results in a selling price of $75. What was the marked price?

Step 1: Understand that a discount of 25% means you pay 75% of the marked price.
Step 2: Let the marked price be represented by the variable x.
Step 3: Write the equation for the selling price after the discount: Selling Price = Marked Price - Discount.
Step 4: Since the discount is 25% of the marked price, we can express it as: Selling Price = x - 0.25x.
Step 5: Simplify the equation: Selling Price = 0.75x.
Step 6: We know the selling price is $75, so we can set up the equation: 0.75x = 75.
Step 7: To find x, divide both sides of the equation by 0.75: x = 75 / 0.75.
Step 8: Calculate the value: x = 100.
Step 9: Conclude that the marked price is $100.

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