Question
In a head-to-head election, 15% of the total votes were
invalid. Of the valid votes, 60% were in favour of the winning candidate, and the victory margin was 1,700 votes. Calculate the number of valid votes.Solution
Let the number of votes be '100n' Number of valid votes = 0.85 X 100n = '85n' Number of valid votes received by winning candidate = 0.6 X 85n = '51n' Number of valid votes received by losing candidate = 0.4 X 85n = '34n' So, 51n - 34n = 1,700 Or, 17n = 1,700 Or, 'n' = 100 Number of valid votes = 85 X 100 = 8,500
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