A book is sold for $45 after a discount of 10%. What is the marked price?

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Question: A book is sold for $45 after a discount of 10%. What is the marked price?

Options:

Correct Answer: $50

Solution:

Let the marked price be x. Selling Price = x - 0.10x = 0.90x. So, 0.90x = 45. Therefore, x = 45 / 0.90 = 50.

A book is sold for $45 after a discount of 10%. What is the marked price?

A book is sold for $45 after a discount of 10%. What is the marked price?

Step 1: Understand that the selling price of the book after a discount is $45.
Step 2: Know that the discount given is 10% of the marked price.
Step 3: Let the marked price be represented by 'x'.
Step 4: Calculate the selling price after the discount: Selling Price = Marked Price - Discount.
Step 5: The discount can be expressed as 10% of 'x', which is 0.10x.
Step 6: Therefore, the selling price can be written as: Selling Price = x - 0.10x.
Step 7: Simplify the equation: Selling Price = 0.90x.
Step 8: Set up the equation: 0.90x = 45.
Step 9: To find 'x', divide both sides of the equation by 0.90: x = 45 / 0.90.
Step 10: Calculate the value: x = 50.
Step 11: Conclude that the marked price of the book is $50.

Percentage Discount – 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.