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.

Given:

Winner lost by = 12,336 votes

Votes secured by one candidate = 47 %

Votes secured by other candidate = (100 % - 47 %) = 53 %

Let the total number of votes be $x$.

Difference in votes of two candidates = 12,336

⇒ 53% of $x$ - 47% of $x$ = 12,336

⇒ (53% - 47%) of $x$ = 12,336

⇒ 6% of $x$ = 12,336

⇒ $\dfrac{6}{100} \times x = 12,336$

⇒ $x = \dfrac{12,336 \times 100}{6}$

⇒ $x = \dfrac{12,33,600}{6}$

⇒ $x = 2,06,100$

Votes secured by candidates who won the election = 53 % of total votes

= $\dfrac{53}{100} \times 2,06,100$

= $\dfrac{1,09,23,300}{100}$

= 1,09,233

The total number of votes = 2,06,100 and votes secured by the winning candidates = 1,09,233.