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%.