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10% of the voters did not cast their vote 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 voters list was:
25000
33000
35000
40000
Percentage of votes polled for winning candidate = 54% Percentage of votes polled for defeated candidate = 46% Percentage majority = 54 - 46 = 8% Let the number of valid votes be 'x'. 8% of x = 1620 x = 20250 So, the number of valid votes are 20250. Let the total number of votes polled be y. 10% of the votes are invalid. 90% of y = 20250 y = 22500 So, the number of votes polled are 22500.
Let the number of voters enrolled be z.
10% of the voters did not cast their vote.
90% of z = 22500
z = 25000
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