Question
In a local body election between two candidates, 25% of
the polled votes were invalid. Out of the valid votes, the winner obtained 60% and won by 1,350 votes. Determine the number of valid votes.Solution
Let the number of votes be '100n' Number of valid votes = 0.75 X 100n = '75n' Number of valid votes received by winning candidate = 0.6 X 75n = '45n' Number of valid votes received by losing candidate = 0.4 X 75n = '30n' So, 45n - 30n = 1,350 Or, 15n = 1,350 Or, 'n' = 90 Number of valid votes = 75 X 90 = 6,750
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