Two candidates contested an election. 30% of the voters on the list did not vote, and all the votes cast were valid. The winner got votes equal to 44% of the voters on the list and won by 5400 votes. Find the number of voters on the list.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 30000
Only 70% of the voters on the list voted, and these votes are shared between the two candidates. The winning margin is the difference between their shares, all taken as percentages of the voters on the list.
Votes cast \(=100\%-30\%=70\%\) of the voters on the list
Winner \(=44\%\), loser \(=70\%-44\%=26\%\)
Margin \(=44\%-26\%=18\%\) of the voters on the list \(=5400\)
Voters on the list \(\displaystyle =\frac{5400\times100}{18}=30000\)
There are 30000 voters on the list.