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    Question

    In an election between two candidates ‘P’ and

    ‘Q’, ‘P’ secured 65% of the total votes and defeated ‘Q’ by 3,000 votes. Find the number of votes secured by ‘Q’.
    A 3500 Correct Answer Incorrect Answer
    B 4200 Correct Answer Incorrect Answer
    C 5250 Correct Answer Incorrect Answer
    D 4800 Correct Answer Incorrect Answer
    E 6000 Correct Answer Incorrect Answer

    Solution

    Let the total number of votes be ‘100n’ Number of votes received by ‘P’ = 0.65 × 100n = 65n Number of votes received by ‘Q’ = 100n − 65n = 35n So,
    65n − 35n = 3,000 Or,
    30n = 3,000 Or,
    n = 100 Required number of votes = 35 × 100 = 3,500

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