Question

A store owner discounted some coin purses from $0.50 to $0.32. What percentage is the discount?

Write your answer using a percent sign (%).

Answer 1

To calculate the percentage discount, you can use the formula:

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

In this case, the original price is $0.50, and the discounted price is $0.32. Plugging in these values:

\[
\text{Discount Percentage} = \left(\frac{0.50 - 0.32}{0.50}\right) \times 100
\]

Calculating the difference:

\[
0.50 - 0.32 = 0.18
\]

Now substitute this back into the formula:

\[
\text{Discount Percentage} = \left(\frac{0.18}{0.50}\right) \times 100
\]

Calculating the division:

\[
\frac{0.18}{0.50} = 0.36
\]

Now multiply by 100 to get the percentage:

\[
0.36 \times 100 = 36
\]

So, the discount percentage is **36%**.