Question

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 1

The percentage increase in the total sales for 2006 is 15% while the increase in sales of the trench coats is 23.3%; therefore the percentage increase in total sales of trench coats is 8.3% faster.

Computation:

1. The total amount of sales for 2006 and 2007:

$\begin{aligned}\text{Sales of 2006}&=103+297+210+213+137\\&=960\end{aligned}$

$\begin{aligned}\text{Sales of 2007}&=127+223+210+285+259\\&=1104\end{aligned}$

2. Now, the percentage increase will be determined for the total number of coats and trench coats:

For the total number of coats, the values used will be the total sales of 2006, and total sales of 2007.

$\begin{aligned}\text{Percentage Increase}&=\dfrac{\text{Sales of 2007}-\text{Sales of 2006}}{\text{Sales of 2006}}\times100\\&=\dfrac{1104-960}{960}\times100\\&=15\%\end{aligned}$

For the trench coats the values used will be the sale of trench coats in 2006 and 2007.

$\begin{aligned}\text{Percentage Increase in Sale of Trench Coat}&=\dfrac{\text{Sales of 2007}-\text{Sales of 2006}}{\text{Sales of 2006}}\times100\\&=\dfrac{127-103}{103}\times100\\&=23.33\%\end{aligned}$

3. Now, the  net percentage increase in sales due to the trench coats is computed as follows:

$\begin{aligned}\text{Net Percentage Change}&=\text{\text{Percentage Increase in Trench Coat}-\text{Percentage Increase}}\\&=23.33\%-15\%\\&=8.3\%\end{aligned}$

Therefore, the correct option is option B. Sales of trench coats increased 8. 3 percentage points faster than total coat sales.

To know more about percentages of increase in sales, refer to the link:

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