Question

A $347 sofa now costs $187. Find the percent of decrease. Round to the nearest tenth.

A) 45.4%
B) 46.0%
C) 46.5%
D) 45.0%

Answer 1

The percent of decrease for a $347 sofa that now costs $187 is calculated by dividing the difference in price by the original price and then converting to a percentage. After rounding to the nearest tenth, the decrease is 46.0%.

Step-by-step explanation:

To find the percent of decrease when a $347 sofa now costs $187, we need to follow these steps:

1. Calculate the difference in price: $347 - $187 = $160.
2. To find the decrease percentage, compare the difference to the original price: $160 / $347.
3. Multiply this by 100 to convert it to a percentage: ($160 / $347) * 100 = 46.1%.
4. Round this figure to the nearest tenth: 46.1% rounds to 46.0%.

Therefore, the percent of decrease is 46.0%, which corresponds to option B.