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

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

Options:

Correct Answer: $50

Solution:

Let the original price be x. After a 10% discount, Selling Price = x - 0.1x = 0.9x. 0.9x = 45, x = 45/0.9 = 50.

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

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

Step 1: Let the original price of the book be represented by 'x'.
Step 2: A 10% discount means the book is sold for 90% of its original price.
Step 3: Write the equation for the selling price after the discount: Selling Price = Original Price - Discount.
Step 4: Substitute the values into the equation: Selling Price = x - 0.1x.
Step 5: Simplify the equation: Selling Price = 0.9x.
Step 6: We know the Selling Price is $45, so set up the equation: 0.9x = 45.
Step 7: To find 'x', divide both sides of the equation by 0.9: x = 45 / 0.9.
Step 8: Calculate the value: x = 50.

Percentage Discount – Understanding how to calculate the selling price after applying a percentage discount to the original price.
Algebraic Manipulation – Using algebra to solve for the original price by setting up an equation based on the selling price.