Question
In a village election, 300 votes were declared invalid.
The winning candidate secured 60% of the valid votes and won by a margin of 1,500 votes. Find the total number of votes cast (valid and invalid).Solution
ATQ, Let the total number of valid votes be '100p'. Number of valid votes for the winning candidate = 0.60 × 100p = 60p Number of valid votes for the losing candidate = 100p - 60p = 40p So, 60p - 40p = 1,500 Or, 20p = 1,500 p = 1,500 ÷ 20 = 75 Total number of valid votes = 75 × 100 = 7,500 Therefore, total number of votes (valid and invalid) = 7,500 + 300 = 7,800.
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