Question

The following chart shows a store’s coat sales for two years.

2 circle graphs. A circle graph titled 2006. Top coats is 297, parkas is 210, jackets is 213, raincoats is 137, trench coats is 103. A circle graph titled 2007. Topcoats is 223, parkas is 210, jackets is 285, raincoats is 259, trench coats is 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.

Answer 1

(B) Sales of trench coats increased 8.3 percentage points faster than total coat sales.

Answer 2

Sales of trench coats increased 8.3 percentage points faster than total coat sales.

Explanation:

2006:

top coats is 297,

parkas is 210,

jackets is 213,

raincoats is 137,

trench coats is 103

Total:
`297+210+213+137+103=960`

2007:

topcoats is 223,

parkas is 210,

jackets is 285,

raincoats is 259,

trench coats is 127

Total:
`223+210+285+259+127=1,104`

Percent increase in total sales:

`(1,104-960)/(960)\cdot 100\%=15\%`

Percent increase in sales of trench coats:

`(127-103)/(103)\cdot 100\%\approx 23.3\%`

Since
`23.3\%-15\%=8.3\%,` sales of trench coats increased 8.3 percentage points faster than total coat sales.