Question

Caroline has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at dollar sign, $28, before discount and tax. After the discount, and before tax, the price is dollar sign, $23.80. Find the percent discount.

Answer 1

To find the percent discount, we can use the following formula:

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

In this case, the original price is $28 and the discounted price is $23.80.

1. Calculate the difference between the original price and the discounted price:

\[
\text{Original Price} - \text{Discounted Price} = 28 - 23.80 = 4.20
\]

2. Now, substitute the values into the percent discount formula:

\[
\text{Percent Discount} = \left( \frac{4.20}{28} \right) \times 100
\]

3. Calculate \( \frac{4.20}{28} \):

\[
\frac{4.20}{28} = 0.15
\]

4. Now multiply by 100 to get the percentage:

\[
0.15 \times 100 = 15
\]

Thus, the percent discount given is

\[
\boxed{15\%}
\]