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 trench coats. 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 trench coats increased 0.7 percentage points faster than total coat sales.
b. sales of trench coats increased 8.3 percentage points faster than total coat sales.
c. total coat sales increased 2.5 percentage points faster than sales of trench coats.
d. total coat sales increased 10.7 percentage points faster than sales of trench coats.

Explanation:

Calculate total sales for 2006 and 2007

Using the Pie Chart Analysis knowledge point

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

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

Calculate percentage increase in total sales

Using the Percentage Increase knowledge point

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

Calculate percentage increase in trench coat sales

Using the Pie Chart Analysis and Percentage Increase knowledge points

$$ \text{Trench coats } 2006 = 103 $$

$$ \text{Trench coats } 2007 = 127 $$

$$ \text{Trench Coat Increase \%} = \frac{127 - 103}{103} \times 100\% = \frac{24}{103} \times 100\% \approx 23.301\% \approx 23.3\% $$

Compare the percentage increases

Using the Percentage Increase knowledge point

$$ 23.3\% - 15.0\% = 8.3\% $$

Thus, sales of trench coats increased by 8.3 percentage points faster than total coat sales.

Answer:

• a. Sales of trench coats increased 0.7 percentage points faster than total coat sales.
• b. Sales of trench coats increased 8.3 percentage points faster than total coat sales. (Correct answer)
• c. Total coat sales increased 2.5 percentage points faster than sales of trench coats.
• d. Total coat sales increased 10.7 percentage points faster than sales of trench coats.