Question
In an election between two
candidates, the winner secured a victory margin of 720 votes. If 20% of the total votes polled were declared invalid, and the winner received 65% of the valid votes, how many votes were cast in total?Solution
ATQ, Let total number of votes polled be '100a' So, number of invalid votes = 100a Ă— 0.2 = '20a' Remaining votes = 100a - 20a = '80a' Number of votes received by winner = 80a Ă— 0.65 = '52a' Number of votes received by the looser = 80a - 52a = '28a' ATQ; 52a - 28a = 720 Or, 24a = 720 So, a = 30 So, number of votes polled = 30 Ă— 100 = 3000
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