a shirt it on sale for $48 after 40% discount. what is the original price

To find the original price of the shirt before the 40% discount, we can use the following steps:

1. Let the original price be $ x $.
2. The shirt is being sold at a 40% discount, which means the price has been reduced to 60% of the original price. So, $ 60\% $ of $ x $ equals $48.

This can be written as:
\[
0.6 \times x = 48
\]

3. To find $ x $, divide both sides by 0.6:
\[
x = \frac{48}{0.6} = 80
\]

So, the original price of the shirt was **$80**.

Would you like more details or have any questions about this solution? Here are some related questions:

1. How do you calculate the percentage discount from the original price?
2. What would the price be if the discount were 50% instead of 40%?
3. How much money do you save with the 40% discount on the original price?
4. If the shirt had been on sale for $48 after a 25% discount, what would the original price have been?
5. How do different discount percentages affect the final sale price?

**Tip:** Always double-check your calculations by working backward to ensure the discount applied leads to the sale price given.

Learn how to calculate the original price of an item after a 40% discount using a step-by-step solution. Understand the concept of percentage discount and its application in pricing. Suitable for Grades 6-8.

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