Company Satisfaction Rate

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A major company's satisfaction rate, defined as the percentage of its employees who identified themselves as "extremely satisfied" or "generally satisfied" with their jobs in a survey, dropped from 76 percent on January 1, 2005, to 68 percent on January 1, 2008. If the number of employees was 25 percent less on January 1, 2008, than on January 1, 2005, what was the approximate percent change in the number of satisfied employees at the company over this period?

Review: Company Satisfaction Rate


Explanation

In this question, let's suppose that the company had 100 people in 2005. That means that 76 people were satisfied. In 2008, there were 75 total people, and 68% of them were satisfied. So the number of satisfied people in 2008 is The percent change in the number of satisfied people will be the difference over the original, or:



We are allowed to approximate, so we can say





Hence, our estimate is a 32% decrease in the number of satisfied people.

The correct answer is (B).


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