Question

the following chart shows a stores coat sales for two years.

2006
top coats: 297
parkas: 210
jackets: 213
raincoats: 137
trench coats: 103

2007
topcoats: 223
parkas: 210
jackets: 285
raincoats: 259
trench coats: 127

identify the percent increase in total sales and the percent increase in sales of jackets. then find which percent of increase is greater and by how much greater it is than the other. (round your answer to the nearest tenth.)
a. sales of jackets increased 3.6 percentage points faster than total coat sales.
b. sales of jackets increased 18.8 percentage points faster than total coat sales.
c. total coat sales increased 8.1 percentage points faster than sales of jackets.
d. total coat sales increased 24.5 percentage points faster than sales of jackets.

Explanation:

Calculate total sales for both years

Using the Percentage Increase knowledge point

$$ \text{Total } 2006 = 297 + 210 + 213 + 137 + 103 = 960 $$

$$ \text{Total } 2007 = 223 + 210 + 285 + 259 + 127 = 1104 $$

Calculate percent increase in total sales

Using the Percentage Increase knowledge point

$$ \text{Percent Increase}_{\text{total}} = \frac{1104 - 960}{960} \times 100\% = \frac{144}{960} \times 100\% = 15.0\% $$

Calculate percent increase in jacket sales

Using the Percentage Increase knowledge point

$$ \text{Jackets } 2006 = 213 $$

$$ \text{Jackets } 2007 = 285 $$

$$ \text{Percent Increase}_{\text{jackets}} = \frac{285 - 213}{213} \times 100\% = \frac{72}{213} \times 100\% \approx 33.8028\% \approx 33.8\% $$

Compare the percentage increases

Using the Percentage Increase knowledge point

$$ 33.8\% - 15.0\% = 18.8\% $$

Thus, sales of jackets increased by 18.8 percentage points faster than total coat sales.

Answer:

• a. Sales of jackets increased 3.6 percentage points faster than total coat sales.
• b. Sales of jackets increased 18.8 percentage points faster than total coat sales. (Correct answer)
• c. Total coat sales increased 8.1 percentage points faster than sales of jackets.
• d. Total coat sales increased 24.5 percentage points faster than sales of jackets.