ABC26GN5663 · Bar Graphs

Subject: General Aptitude · Chapter: Bar Graphs · Exam: · Marks: · Difficulty:

In which year was the percentage increase in production as compared to the previous year, the maximum?
(a)2012
(b)2011
(c)2009
(d)2007
(e)2006
Answer
Answer (as printed): E
Explanation
Percentage increase in a year compared to previous year: $$\begin{aligned} 2006 & \rightarrow\left\{\frac{(40-25)}{25} \times 100\right\} \%=\left(\frac{15}{25} \times 100\right) \%=60 \% ; \\ 2007 \rightarrow & \left\{\frac{(60-40)}{40} \times 100\right\} \% \\ & =\left(\frac{20}{40} \times 100\right) \%=50 \% ; \end{aligned}$$ In 2008, there is decrease in production. $$\begin{aligned} 2009 \rightarrow & \left\{\frac{(65-45)}{45} \times 100\right\} \% \\ = & \left(\frac{20}{45} \times 100\right) \%=\frac{400}{9} \%=44.44 \% ; \end{aligned}$$ In 2010, there is a decrease in production. $$\begin{aligned} 2011 \rightarrow & \left\{\frac{(75-50)}{50} \times 100\right\} \%=\left(\frac{25}{50} \times 100\right) \%=50 \% ; \\ 2012 \rightarrow & \left\{\frac{(80-75)}{75} \times 100\right\} \% \\ = & \left(\frac{5}{75} \times 100\right) \%=\frac{20}{3} \%=6.67 \% \end{aligned}$$ Clearly, maximum percentage increase is in the year 2006.

Explanation as extracted from the printed page; notation may be imperfect.

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