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The ratio of male to female students in a college for five years is plotted in the following line graph. If the number of female students doubled in $2009$, by what percent did the number of male students increase in $2009$?

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In 2008 $\dfrac{M}{F}$ ratio is $2.5$

Assume $250$ Males, $100$ Females.

In 2009 $\dfrac{M}{F}$ ratio is $3.$ Also total no of females doubled

Females $=100\times 2 = 200.$

So, $\dfrac{M}{F} = 3 \implies \dfrac{M}{200}= 3$

$\implies M = 200\times 3 = 600.$

Increase in Male Students  $= 600 - 250 = 350$

Increase $=\left(\dfrac{350}{250}\right)\times 100 \%= 140 \%$
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In 2008, Let M males and F females be there, so

M/F = 2.5 , so M= 2.5F

In 2009, as females doubled

M/2F = 3, so M = 6F

So increase in M is (6F- 2.5F) = 3.5F

So percentage increase, (3.5F/2.5F ) * 100 = 140%
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