Question

In a college election between 2 candidates, the winning candidate got 61 % of the total votes polled and won by a majority of 1760 votes. If 20% of the voters in the list did not cast their votes. Find the total number of voters in the list.
1. 8000
2. 11000
3. 9000
4. 8500
5. 10000

Answer 1

Correct Answer - Option 5 : 10000

GIVEN:

% of people who didn't cast their votes = 20%

votes in favor of winner = 61% of votes polled

the margin of win = 1760 votes

EXPLANATION:

let the total number of votes be 100 ratio

\(votes \space polled = 80 ratio\\winner's\space share = 61\% \space of\space votes\space polled \\loser's \space share=39\%\space of \space votes\space polled \\margin = 61 - 39 = 22\%\space of \space votes\space polled \\22\%= 1760\Rightarrow 100\%=8000 \\80\%\space of \space list\space(20\%\space didn't\space cast)= 8000\\\therefore100\% \space of \space list=10000\)