A wagon is on sale for 20% off. The sale price of the wagon is $114. What was the original price of the wagon, assuming no sales tax is paid on the item? Round your answer to the nearest cent.

To find the original price of the wagon, we can use the following formula:

\[
\text{Original Price} = \frac{\text{Sale Price}}{1 - \text{Discount Percentage}}
\]

Given:
- Sale Price = $114
- Discount Percentage = 20% = 0.20

Substitute the values into the formula:

\[
\text{Original Price} = \frac{114}{1 - 0.20} = \frac{114}{0.80}
\]

Now, let's calculate the original price:

\[
\text{Original Price} = 142.50
\]

Therefore, the original price of the wagon was **$142.50**.

Would you like more details or have any other questions? Here are 5 related questions:

1. How do you calculate the discount amount given the original price and discount percentage?
2. If the discount was 25% instead of 20%, what would the sale price be?
3. How would you calculate the sale price if sales tax is added after applying the discount?
4. What is the final price if a further 10% discount is applied to the sale price?
5. How would you express the formula if only the discount amount is given?

**Tip:** When working with percentages in financial problems, always convert them to decimals for easier calculations.

A wagon is on sale for 20% off. The sale price of the wagon is $114. What was the original price of the wagon, assuming no sales tax is paid on the item? Round your answer to the nearest cent.

Learn how to find the original price of a wagon on sale for 20% off with a sale price of $114. This step-by-step solution explains how to use percentages and basic algebra to calculate the original price. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation