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10 % of the electorate did not cast their votes in an election between two candidates. 10 % of the votes polled were found invalid. The successful candidate got 54 % of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voter’s list was___________?

/ Mathematics Mcqs, Percentage Mcqs / By
10 % of the electorate did not cast their votes in an election between two candidates. 10 % of the votes polled were found invalid. The successful candidate got 54 % of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voter’s list was___________?

A. 25000
B. 33000
C. 35000
D. 40000
Explanation:
Let the number of votes enrolled be x
Votes cast = (90/100 × x) = 9x/10
Valid votes = 90% of 9x/10 = (90/100 × 9x/10) = 81x/100
Votes polled by successful candidate
= (54/100 × 81x/100) = 4374x/10000
Votes polled by defeated candidate
= (46/100 × 81x/100) = 3726x/10000
=> 4374x – 3726x = 16200000
=> x = 16200000/648 = 25000