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    Question

    In an election with two candidates, the winner secured

    66% of the valid votes and won by a margin of 1440 votes. How many valid votes did the losing candidate receive?
    A 1530 Correct Answer Incorrect Answer
    B 1650 Correct Answer Incorrect Answer
    C 1720 Correct Answer Incorrect Answer
    D 1470 Correct Answer Incorrect Answer

    Solution

    Let the total number of valid votes cast = '100x' Then, number of valid votes received by the winning candidate = 100x X 0.66 = '66x' Number of valid votes received by the loser candidate = 100x - 66x = '34x' According to the question, 66x - 34x = 1440 Or, x = 1440 ÷ 32 = 45 So, number of valid votes received by the loser candidate = 34 x 45 = 1530

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