Question

A department store offers a 40% discount on all clothing items. if a shirt is currently priced at $30, what was the original price?

Answer 1

$50

Explanation:

Given:

• discount = 40% = 0.4 in decimal
• Selling Price = $30

To find:

• Original price = ?

Solution:

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

`\textsf{Original Price} = \frac{\textsf{Selling Price}}{1 - \textsf{Discount Percentage}}`

Substitute these values into the formula:

`\sf \textsf{Original Price} = (30)/(1 - 0.40)`

`\sf \textsf{Original Price} = (30)/(0.60)`

`\sf \textsf{Original Price} = 50`

So, the original price of the shirt was $50.