If a person sells a book for $45 at a loss of 10%, what was the cost price?

₹0.0

Question: If a person sells a book for $45 at a loss of 10%, what was the cost price?

Options:

Correct Answer: $50

Solution:

Let Cost Price = x. Selling Price = x - 10% of x = 0.9x. 0.9x = 45. x = 45/0.9 = 50.

If a person sells a book for $45 at a loss of 10%, what was the cost price?

If a person sells a book for $45 at a loss of 10%, what was the cost price?

Step 1: Understand that the selling price of the book is $45.
Step 2: Know that selling at a loss of 10% means the selling price is 90% of the cost price.
Step 3: Let the cost price be represented as 'x'.
Step 4: Write the equation for the selling price: Selling Price = Cost Price - Loss.
Step 5: Since the loss is 10% of the cost price, we can express it as: Selling Price = x - 0.1x.
Step 6: Simplify the equation: Selling Price = 0.9x.
Step 7: Set up the equation with the selling price: 0.9x = 45.
Step 8: To find 'x', divide both sides of the equation by 0.9: x = 45 / 0.9.
Step 9: Calculate the value: x = 50.
Step 10: Conclude that the cost price of the book is $50.

Loss Percentage Calculation – Understanding how to calculate the cost price when given the selling price and the percentage loss.
Algebraic Manipulation – Using algebra to solve for the unknown variable (cost price) based on the relationship between selling price and cost price.