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.