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    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?
    A 3000 Correct Answer Incorrect Answer
    B 3265 Correct Answer Incorrect Answer
    C 3200 Correct Answer Incorrect Answer
    D 3202 Correct Answer Incorrect Answer

    Solution

    ATQ, Let total number of votes polled be '100a' So, number of invalid votes = 100a × 0.2 = '20a' Remaining votes = 100a - 20a = '80a' Number of votes received by winner = 80a × 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 × 100 = 3000

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