Question
In an election contested between two candidates, the
winner won by 720 votes. If out of total votes polled, 20% were declared invalid, and out of the remaining votes 65% were received by winner, then how many votes were polled?Solution
Let total number of votes polled be '100x' So, number of invalid votes = 100x X 0.2 = '20x' Remaining votes = 100x - 20x = '80x' Number of votes received by winner = 80x X 0.65 = '52x' Number of votes received by the looser = 80x - 52x = '28x' ATQ; 52x - 28x = 720 Or, 24x = 720 So, x = 30 So, number of votes polled = 30 X 100 = 3000
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