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    In an election between two candidates, the candidate who gets 35% of the votes polled is defeated by 15,900 votes. What is the total number of votes p
    Question

    In an election between two candidates, the candidate who gets 35% of the votes polled is defeated by 15,900 votes. What is the total number of votes polled?

    A.

    45,000

    B.

    35,000

    C.

    43,000

    D.

    53,000

    Correct option is D

    Given:

    The candidate who receives 35% of the votes is defeated by 15,900 votes.

    Solution:

    Let the total number of votes polled be V.

    The candidate who gets 35% of the votes has 35% of V, i.e., 0.35V.

    The other candidate gets 65% of the votes, i.e., 0.65V.

    The difference in votes between the two candidates is 15,900 votes.

    Difference in votes = 0.65V - 0.35V = 15,900

    0.30V=15,900

    V = 15,9000.30=53,000\frac{15,900}{0.30} = 53,000

    Thus, the total number of votes polled is 53,000.

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