Question
In an election, 10% of the total registered voters did
not cast their votes. Two candidates contested. The winner secured 55% of the votes cast and won by 1,800 votes. Find the total number of registered voters.Solution
Let total registered voters = x Votes cast = 90% of x = 0.9x Winner’s votes = 55% of votes cast = 0.55 × 0.9x = 0.495x Loser’s votes = 45% of votes cast = 0.45 × 0.9x = 0.405x Margin of victory = 0.495x - 0.405x = 0.09x Given margin = 1,800 votes: 0.09x = 1800 x = 1800 / 0.09 = 20,000
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