Question

By what percent the average export of country T over all the given years more than the average export of country Rover all the given years?

• A. $13\frac{7}{11}\%$
• B. $9\frac{1}{11}\%$
• C. $13\frac{5}{7}\%$
• D. $4\frac{7}{11}\%$
• E. $12\frac{1}{7}\%$

Answer 1

The correct option is A $13\frac{7}{11}\%$

Total Exports of Six Countries
$\begin{array}{cccccc}Year& 2011& 2012& 2013& 2014& 2015\\ Country& & & & & \\ P& 20& 40& 60& 45& 90\\ Q& 30& 25& 15& 50& 100\\ R& 50& 55& 70& 90& 65\\ S& 45& 60& 20& 15& 25\\ T& 60& 50& 55& 100& 110\\ U& 24& 40& 60& 75& 120\end{array}$

Average export of country $T=\frac{60+50+70+90+65}{5}=\frac{375}{5}=75$
Average export of country $R=\frac{50+55+70+90+65}{5}=\frac{330}{5}=66$
$\therefore$ Required percentage =$\frac{9}{66}\times =\frac{150}{11}=13\frac{7}{11}$