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

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

Options:

Correct Answer: $50

Solution:

Let the marked price be x. Selling Price = x - 10% of x = x - 0.1x = 0.9x. Therefore, 0.9x = 45. x = 45 / 0.9 = 50.

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

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

Step 1: Let the marked price of the book be represented by 'x'.
Step 2: The book is sold for $45 after a discount of 10%.
Step 3: Calculate the selling price using the formula: Selling Price = Marked Price - Discount.
Step 4: The discount is 10% of the marked price, which is 0.1 * x.
Step 5: Therefore, the selling price can be written as: Selling Price = x - 0.1x.
Step 6: Simplify the equation: Selling Price = 0.9x.
Step 7: We know the selling price is $45, so we set up the equation: 0.9x = 45.
Step 8: To find 'x', divide both sides of the equation by 0.9: x = 45 / 0.9.
Step 9: Calculate the value: x = 50.
Step 10: 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.