backpack is discounted for 10% on sale for $37.80

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To calculate the original price of the backpack before the discount, you can use the formula:

Original price = Sale price / (1 - Discount%)

In this case, the sale price is $37.80, and the discount is 10%.

First, convert the discount percentage to a decimal by dividing it by 100: 10% = 10/100 = 0.10.

Now we can substitute the values into the formula:

Original price = $37.80 / (1 - 0.10)

Simplifying the equation:

Original price = $37.80 / 0.90

Calculating:

Original price = $42

Therefore, the original price of the backpack before the discount was $42.