Question
In a village council election between two contenders 'R'
and 'S', 15% of total votes were declared invalid. 'R' received 58% of the valid votes. If 'S' got 19,278 valid votes, find the total number of votes.Solution
ATQ,
Let the total number of votes be '100n'
Number of valid votes = 0.85 × 100n = 85n
Number of valid votes received by 'S' = 0.42 × 85n = 35.7n
So, 35.7n = 19,278
Or, n = 540
Therefore, total number of votes = 540 × 100 = 54,000
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