Question

The price of a pair of shoes was reduced from $24 to $20. By what percentage was price of the pair of shoes reduced

Answer 1

To find the percentage reduction in price, you can use the following formula:

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

In this case:

- Original Price = $24
- Reduced Price = $20

Now, plug in the values:

\[
\text{Percentage Reduction} = \left(\frac{24 - 20}{24}\right) \times 100
\]

Calculating the difference:

\[
24 - 20 = 4
\]

Now, substitute back into the formula:

\[
\text{Percentage Reduction} = \left(\frac{4}{24}\right) \times 100
\]

Calculating the fraction:

\[
\frac{4}{24} = \frac{1}{6}
\]

Now, convert that to a percentage:

\[
\frac{1}{6} \approx 0.1667
\]

Now, multiply by 100:

\[
0.1667 \times 100 \approx 16.67
\]

Thus, the percentage reduction in price is approximately **16.67%**.