Question
In a school election between two candidates, 12% of the
total votes were invalid. Of the valid votes, the winner got 58% and won by 1,392 votes. Find the number of valid votes.Solution
Let the number of votes be '100n' Number of valid votes = 0.88 X 100n = '88n' Number of valid votes received by winning candidate = 0.58 X 88n = '51.04n' Number of valid votes received by losing candidate = 0.42 X 88n = '36.96n' So, 51.04n - 36.96n = 1,392 Or, 14.08n = 1,392 Or, 'n' = 99 Number of valid votes = 88 X 99 = 8,712
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