The graph shows the sales of the only three widget-producing companies

Official Explanation

The years 2006 and 2011 appear good candidates for the years when Company C’s shares of total widget sales were greatest. In 2006, the company had greater sales, in absolute terms, than in 2011, but the industry’s overall sales that year were greater, as well. So, it’s a good idea to start by calculating Company C’s share of total widget sales in 2011. In 2011, Company C’s sales were $210 million and the industry’s were $800 million ($460 plus $130 plus $210). Let x be the percentage of those total sales that were Company C’s. Then:

210=x%(800)

x=210/800%

\(x=\frac{210}{800}(100)\)

\(x=26.25\)

Sure enough, 26% is the greatest percentage among the answer choices, so there’s no reason to check any other year.

Answer: C

In 2002, the widget industry had total sales of $650 million ($450 plus $120 plus $80). In 2011, it had total sales of $800, as you’ve calculated in Question I already. If the 2002 sales were x% of the 2011 sales, then:

\(650=(800)x\)%

x=650/800%

\(x=\frac{650}{800}(100)\)

\(x=81.25\)

Answer: A