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.

Respuesta :

Answer:

(a). 45.5%

(b). 31.3%

(c). 69%

Step-by-step 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.

[tex]\text{Percent increase}=\frac{\text{Final-Initial}}{\text{Initial}}\times 100[/tex]

[tex]\text{Percent increase}=\frac{320,000-220,000}{220,000}\times 100[/tex]

[tex]\text{Percent increase}=\frac{100000}{220,000}\times 100[/tex]

[tex]\text{Percent increase}=0.45454545\times 100[/tex]

[tex]\text{Percent increase}\approx 45.5[/tex]

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.

[tex]\text{Percent decrease}=\frac{320,000-220,000}{320,000}\times 100[/tex]

[tex]\text{Percent decrease}=\frac{100,000}{320,000}\times 100[/tex]

[tex]\text{Percent decrease}=0.3125\times 100[/tex]

[tex]\text{Percent decrease}\approx 31.3[/tex]

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

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

[tex]\frac{\text{Portland sales}}{\text{Seattle sales}}\times 100\%[/tex]

[tex]\frac{220,000}{320,000}\times 100\%[/tex]

[tex]0.6875\times 100\%[/tex]

[tex]68.75\%\approx 69\%[/tex]

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

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