Two candidates X and Y contested an election 80 of voters cast their vote and there were no invalid ...........

Math and Mental Ability Percentage

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?

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Explanation:

Let total number of voters in the voter list be x.
So, Number of casted votes = 0.8x
X got 56% of the casted votes. So, Y got 44% of the casted votes.
Thus, X won by (56 – 44)%, i.e. 12% of the casted votes.
According to the question,
12% of 0.8x = 1440
Or x = (1440 × 100)/(0.8 × 12) = 15000
Thus, the total number of voters in the voter list is 15000.