Question

The price of a pair of shoes was reduced from $24 to $20. By what percentage was the price of the pair of shoes reduced? (enter your answer up to the tenths place- you do not need to round)

Answer 1

To find the percentage reduction in price, we can use the formula for percentage change:

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

Here, the original price is $24, and the new price is $20.

First, calculate the amount of reduction:

\[
\text{Reduction} = 24 - 20 = 4
\]

Now, plug the values into the formula:

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

Calculating the fraction:

\[
\frac{4}{24} = \frac{1}{6} \approx 0.1667
\]

Now multiplying by 100 to find the percentage:

\[
0.1667 \times 100 \approx 16.6667
\]

Thus, the percentage reduction in the price of the shoes is approximately:

\[
16.7
\]

So the price of the pair of shoes was reduced by **16.7%**.