Questions: The original price of a sofa is 500. Answer the following questions. a. If the sofa price decreased by 20%, what is the new price? b. The company can't sell the sofa after 3 weeks so they reduce the price to 320. What is the percent decrease? c. If the company reduces the price in week 4 to 290, what is the percent decrease?

The original price of the sofa is \$500. A 20% decrease means the price is reduced by: \[ 20\% \times 500 = 0.20 \times 500 = 100 \] The new price is: \[ 500 - 100 = 400 \] \[ \boxed{\text{New price} = \$400} \]

The original price is \$500, and the reduced price is \$320. The decrease in price is: \[ 500 - 320 = 180 \] The percent decrease is: \[ \frac{180}{500} \times 100\% = 36\% \] \[ \boxed{\text{Percent decrease} = 36\%} \]

The original price is \$500, and the reduced price is \$290. The decrease in price is: \[ 500 - 290 = 210 \] The percent decrease is: \[ \frac{210}{500} \times 100\% = 42\% \] \[ \boxed{\text{Percent decrease} = 42\%} \]