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

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

Options:

Correct Answer: $50

Solution:

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

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

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

Step 1: Understand that the book is sold for $45 after a discount of 10%.
Step 2: Let the original price of the book be represented by 'x'.
Step 3: Calculate the selling price after the discount. The discount is 10% of 'x', which is 0.10x.
Step 4: The selling price after the discount is the original price minus the discount: Selling Price = x - 0.10x.
Step 5: Simplify the equation: Selling Price = 0.90x.
Step 6: Set up the equation with the selling price: 0.90x = 45.
Step 7: To find 'x', divide both sides of the equation by 0.90: x = 45 / 0.90.
Step 8: Calculate the value: x = 50.
Step 9: Conclude that the original price of the book was $50.

Percentage Discount – Understanding how to calculate the original price from a selling price after a percentage discount.
Algebraic Manipulation – Using algebra to solve for the unknown variable (original price) in an equation.