Question

In an election between two candidates, one, candidate secured $47\%$ of votes polled and lost the election by $12,366$ votes. Find the total votes polled and the votes secured by the winning candidate.

Answer 1

Let the total number of votes polled be $x$

No.of votes secured by loosing Candidate $=47\%$ of $x$

No.of votes secured by winning Candidate $=53\%$ of $x$

Given that $53\%$ of $x-47\%$ of $x=12366$

$\Rightarrow (53-47)\%$ of $x=12366$

$\Rightarrow 6\%$ of $x=12366$

$\Rightarrow \frac{6x}{100}=12366$

$\Rightarrow x=206100$

Therefore the Total number of vote polled $=2,06,100$

No.of votes secured by winning Candidate $=53\%$ of $x$

$=\frac{53}{100}\times 206100$

$=109233$