Question

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 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 die votes secured by the winning candidate.

Answer 1

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Since, the losing candidate secured $47\%$ of the votes polled
Winning candidate secures votes
$=(100-47)\%$ of the votes polled
$=53\%$ of the votes polled
Difference of votes $=53-47$
$=6\%$ of the votes polled
We are given :
$6\%$ of the votes polled $=12,366$
$\Rightarrow \frac{6}{100}$ of the votes polled $=12,366$
$\Rightarrow$ Votes polled $=12,366\times \frac{100}{6}$
$\Rightarrow =\frac{1236600}{6}$
$\Rightarrow =2,06,100$
Votes secured by winning candidate
$$=\frac{53}{100}\times 2,06,100=1,09,233$$
$\therefore$ Votes polled $=2,06,100$
Votes secured by winning candidate
$=1,09,233$