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

₹0.0

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

Options:

Correct Answer: $50

Solution:

Let the marked price be x. Selling Price = x - 10% of x = 45. Thus, 0.9x = 45, so x = $50.

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

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

Step 1: Understand that the selling price of the book after the discount is $45.
Step 2: Let the marked price of the book be represented by 'x'.
Step 3: A 10% discount means the selling price is 90% of the marked price.
Step 4: Write the equation for the selling price: Selling Price = Marked Price - Discount.
Step 5: Substitute the values into the equation: 45 = x - 0.1x.
Step 6: Simplify the equation: 45 = 0.9x.
Step 7: To find 'x', divide both sides by 0.9: x = 45 / 0.9.
Step 8: Calculate the value: x = 50.
Step 9: Conclude that 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 solve for the marked price by setting up an equation based on the selling price.