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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 in $2011$ and $2012$ is equal, what is the ratio of male students in $2012$ to male students in $2011$?

1. $1:1$
2. $2:1$
3. $1.5:1$
4. $2.5:1$
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## 1 Answer

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C) 1.5 : 1

2011

$m{_1}$ = no of male students
$f{_1}$ = no of female students

$\dfrac{m{_1}}{f{_1}}=1$

2012

$m{_2}$ = no of male students
$f{_2}$ = no of female students

$\dfrac{m{_2}}{f{_2}}=1.5$

Given : $f{_1}=f{_2}=f$

So , $\dfrac{m{_1}}{f}=1$    and   $\dfrac{m{_2}}{f}=1.5$
$f=\dfrac{m{_1}}{1}$      and   $f=\dfrac{m{_2}}{1.5}$

Both the equations can be equated..

$\dfrac{m{_1}}{1} =\dfrac{m{_2}}{1.5}$

Ratio of male students in 2012 to male students in 2011 $\Rightarrow \dfrac{m{_2}}{m{_1}} =\dfrac{1.5}{1} = 1.5 : 1$

answered by Active (3.7k points)
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