A book is sold for $150 after a discount of 25%. What was the marked price of th

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Question: A book is sold for $150 after a discount of 25%. What was the marked price of the book? (2023)

Options:

Correct Answer: $200

Exam Year: 2023

Solution:

Let the marked price be x. Selling Price = Marked Price - Discount = x - 0.25x = 0.75x. Thus, 0.75x = 150, so x = 200.

A book is sold for $150 after a discount of 25%. What was the marked price of the book? (2023)

A book is sold for $150 after a discount of 25%. What was the marked price of the book? (2023)

Step 1: Understand that the selling price of the book after the discount is $150.
Step 2: Recognize that the discount is 25% of the marked price.
Step 3: Let the marked price be represented by 'x'.
Step 4: Calculate the selling price using the formula: Selling Price = Marked Price - Discount.
Step 5: Since the discount is 25% of 'x', we can write it as: Discount = 0.25x.
Step 6: Substitute the discount into the selling price formula: Selling Price = x - 0.25x.
Step 7: Simplify the equation: Selling Price = 0.75x.
Step 8: Set the selling price equal to $150: 0.75x = 150.
Step 9: Solve for 'x' by dividing both sides by 0.75: x = 150 / 0.75.
Step 10: Calculate the value: x = 200.
Step 11: Conclude that the marked price of the book is $200.

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 by setting up an equation based on the relationship between marked price, discount, and selling price.