Respuesta :

The percent of discount on the backpack was 42.30%.

Step-by-step explanation:

Step 1:

From the given data, the original cost was $52 and it decreased to $30 due to a discount.

First, we need to determine the difference in values between the original price and the discounted price.

The difference between the prices [tex]= 52-30 = 22.[/tex]

Step 2:  

The percent decrease is given by dividing the difference in values by the original value multiplied by 100.

Percent decrease [tex]= \frac{difference in values}{original value}(100) .[/tex]

Percent decrease [tex]= \frac{22}{52} (100) = 0.4230(100) = 42.30 \%[/tex]

So there was a 42.30% discount on the backpack.