Questions: A sofa regularly sells for 560. The sale price is 442.40. Find the percent decrease of the sale price from the regular price.

Solution Steps

To find the percent decrease from the regular price to the sale price, we first calculate the difference between the regular price and the sale price. Then, we divide this difference by the regular price to find the decrease as a fraction of the original price. Finally, we multiply by 100 to convert this fraction into a percentage.

First, we find the difference between the regular price and the sale price: \[ \text{Difference} = 560 - 442.4 = 117.6 \]

Next, we calculate the percent decrease using the formula: \[ \text{Percent Decrease} = \left( \frac{\text{Difference}}{\text{Regular Price}} \right) \times 100 \] Substituting the values: \[ \text{Percent Decrease} = \left( \frac{117.6}{560} \right) \times 100 \approx 21.0 \]

Final Answer