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

1 answer

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%.