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    Question

    In a local body election between two candidates, 25% of

    the polled votes were invalid. Out of the valid votes, the winner obtained 60% and won by 1,350 votes. Determine the number of valid votes.
    A 13,000 Correct Answer Incorrect Answer
    B 16,400 Correct Answer Incorrect Answer
    C 12,150 Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    Let the number of votes be '100n' Number of valid votes = 0.75 X 100n = '75n' Number of valid votes received by winning candidate = 0.6 X 75n = '45n' Number of valid votes received by losing candidate = 0.4 X 75n = '30n' So, 45n - 30n = 1,350 Or, 15n = 1,350 Or, 'n' = 90 Number of valid votes = 75 X 90 = 6,750

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