Question
In an election between two candidates, only 80% of the
votes were valid. One candidate received 65% of the valid votes and won by a margin of 2,100 votes. Determine the total number of votes cast in the election.Solution
Let the percentage of valid votes = 100% Percentage of won candidate = 65% Percentage of runner candidate = 100-65 = 35% 65% - 35% = 2100 30% = 2100 1% = 70 Total number of valid votes = 100% = 7,000 (which is only 80% of total cast votes) 80% of total cast votes = 7000 Total cast votes = 7000 ×100/80 = 8750
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