Two candidates X and Y contested an election. 80% of voters cast their vote and there were no invalid votes.…
Two candidates X and Y contested an election. 80% of voters cast their vote and there were no invalid votes. There was no NOTA (None of the above) option. X got 56% of the votes cast and won by 1440 votes. What is the total number of voters in the voters list?
15000
12000
9600
5000
Solution
Let total voters = x, so votes cast = 0.8x. X got 56% and Y got 44% of the cast votes, so X won by (56 - 44)% = 12% of cast votes. Thus $0.12 \times 0.8x = 1440$, giving $x = 1440/0.096 = 15000$.