A book is sold for $150 after a discount of 10%. What was the marked price?

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Question: A book is sold for $150 after a discount of 10%. What was the marked price?

Options:

Correct Answer: $165

Solution:

Let Marked Price = x. Selling Price = x - 10% of x = 0.9x. 0.9x = 150. x = 150/0.9 = 165.

A book is sold for $150 after a discount of 10%. What was the marked price?

A book is sold for $150 after a discount of 10%. What was the marked price?

Step 1: Understand that the book is sold for $150 after a discount of 10%.
Step 2: Let the marked price of the book be represented as 'x'.
Step 3: Calculate the selling price after the discount. The selling price is 90% of the marked price because a 10% discount means you keep 90%.
Step 4: Write the equation for the selling price: Selling Price = Marked Price - 10% of Marked Price, which is Selling Price = x - 0.1x = 0.9x.
Step 5: Set up the equation: 0.9x = 150.
Step 6: To find 'x', divide both sides of the equation by 0.9: x = 150 / 0.9.
Step 7: Calculate the value: x = 165.
Step 8: Conclude that the marked price of the book is $165.

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