Question
In a mayoral election between two nominees, 20% of the
total votes were rejected as invalid. Out of the valid votes, 65% went to the winning candidate, who won by 1,920 votes. Find the number of valid votes.Solution
Let the number of votes be '100n' Number of valid votes = 0.8 X 100n = '80n' Number of valid votes received by winning candidate = 0.65 X 80n = '52n' Number of valid votes received by losing candidate = 0.35 X 80n = '28n' So, 52n - 28n = 1,920 Or, 24n = 1,920 Or, 'n' = 80 Number of valid votes = 80 X 80 = 6,400
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