Question

Company's sales in Seattle were $320,000 in 2012, while their sales in Portland were $220,000 for the same year. Complete the following statements:

a. Seattle's sales were % larger than Portland's.
b. Portland sales were % smaller than Seattle's.
c. Portland sales were % of Seattle's.

Answer 1

(a). 45.5%

(b). 31.3%

(c). 69%

Explanation:

We have been given that company's sales in Seattle were $320,000 in 2012, while their sales in Portland were $220,000 for the same year.

(a). We need to find percent increase in Seattle sales with respect to Portland.

`\text{Percent increase}=\frac{\text{Final-Initial}}{\text{Initial}}* 100`

`\text{Percent increase}=(320,000-220,000)/(220,000)* 100`

`\text{Percent increase}=(100000)/(220,000)* 100`

`\text{Percent increase}=0.45454545* 100`

`\text{Percent increase}\approx 45.5`

Therefore, Seattle's sales were 45.5% larger than Portland's.

(b). We need to find percent decrease in Portland sales with respect to Seattle.

`\text{Percent decrease}=(320,000-220,000)/(320,000)* 100`

`\text{Percent decrease}=(100,000)/(320,000)* 100`

`\text{Percent decrease}=0.3125* 100`

`\text{Percent decrease}\approx 31.3`

Therefore, Portland sales were 31.3% smaller than Seattle's.

(c) We need to Portland sales are what percent of Seattle's as:

`\frac{\text{Portland sales}}{\text{Seattle sales}}* 100\%`

`(220,000)/(320,000)* 100\%`

`0.6875* 100\%`

`68.75\%\approx 69\%`

Therefore, Portland sales were 69% of Seattle's.