Question
In an election contested between
two candidates, 75% of the total voters in the city participated in voting, out of which 20% of the votes were deemed invalid. The winning candidate secured 80% of the valid votes and defeated the opponent by a margin of 5112 votes. Determine the total number of voters in the city.Solution
ATQ, Let number of voters in the city be '100x' So, number of votes cast = 100x X 0.75 = '75x' Number of valid votes = 75x X 0.8 = '60x' Number of votes received by winner = 60x X 0.8 = '48x' Number votes received by loser = 60x - 48x = '12x' ATQ; 48x - 12x = 5112 So, 36x = 5112 So, x = 142 So, number of voters in the city = 142 X 100 = 14,200
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