Question

Carson went shopping for a new video game because of a sale. The price on the tag was $40, but Carson paid $28 before tax. Find the percent discount.

Answer 1

To find the percent discount, we first need to determine how much the discount was. We can find the discount by subtracting the sale price from the original price:

\[
\text{Discount} = \text{Original Price} - \text{Sale Price} = 40 - 28 = 12
\]

Next, we calculate the percent discount using the formula:

\[
\text{Percent Discount} = \left( \frac{\text{Discount}}{\text{Original Price}} \right) \times 100
\]

Substituting the values we have:

\[
\text{Percent Discount} = \left( \frac{12}{40} \right) \times 100
\]

Calculating the fraction:

\[
\frac{12}{40} = 0.3
\]

Now, multiplying by 100 to get the percentage:

\[
0.3 \times 100 = 30
\]

Therefore, the percent discount is:

\[
\boxed{30\%}
\]