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8 % of the voters in an election did not cast their votes in the election, there were only two candidates. The winner by obtaining 48 % of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was_________?

A21000
B2200
C23500
27500 Explanation: Let the total number of voters be x Votes cast = 92 % of x = (92/100 × x) = 23x/25 Votes in favour of winning candidate = 48/100 × x = 12x/25 Votes polled by defeated candidate = (23x/25 – 12x/25) = 11x/25 12x/25 – 11x/25 = 1100 => 12x – 11x = 27500 => x = 27500

Correct Answer: D. 27500 Explanation: Let the total number of voters be x Votes cast = 92 % of x = (92/100 × x) = 23x/25 Votes in favour of winning candidate = 48/100 × x = 12x/25 Votes polled by defeated candidate = (23x/25 – 12x/25) = 11x/25 12x/25 – 11x/25 = 1100 => 12x – 11x = 27500 => x = 27500

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