In 2008, a certain factory produced 20% more widgets than it did in 2007, and its production in 2009...

In 2008, a certain factory produced 20% more widgets than it did in 2007, and its production in 2009 was 120% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?

Quiz

Answer/Solution

31%

Steps/Work

Let P be the original level of production in 2007.
Let x be the rate of production in 2010 compared to 2009.
x*1.2*1.2*P = P
x = 1/1.44 = 0.6944 which is a decrease of about 31%.
The answer is A.