the following chart shows a stores coat sales for two years. 2006 2007 identify the percent increase in…
the following chart shows a stores coat sales for two years. 2006 2007 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.
Answer
Explanation:
Step1: Calculate 2006 total sales
$297 + 210+213 + 137+103=960$
Step2: Calculate 2007 total sales
$223+210 + 285+259+127 = 1104$
Step3: Calculate percent - increase in total sales
Percent increase formula is $\frac{\text{New}-\text{Old}}{\text{Old}}\times100%$. So, $\frac{1104 - 960}{960}\times100%=\frac{144}{960}\times100% = 15%$
Step4: Calculate 2006 trench - coat sales
$103$
Step5: Calculate 2007 trench - coat sales
$127$
Step6: Calculate percent - increase in trench - coat sales
$\frac{127 - 103}{103}\times100%=\frac{24}{103}\times100%\approx23.3%$
Step7: Find the difference in percent - increases
$23.3%-15% = 8.3%$
Answer:
b. Sales of trench coats increased 8.3 percentage points faster than total coat sales.