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    In an election, Candidate A received 27% of the votes, and Candidate B received 73% of the votes. If the difference in their votes was 1380, find the
    Question

    In an election, Candidate A received 27% of the votes, and Candidate B received 73% of the votes. If the difference in their votes was 1380, find the total number of votes.

    A.

    2500

    B.

    2900

    C.

    3700

    D.

    3000

    Correct option is D

    Given:

    Candidate A received 27% of the votes.

    Candidate B received 73% of the votes.

    The difference in their votes is 1380.

    Solution:

    Let the total number of votes be V.

    Candidate A's votes = 27% of V = 0.27V

    Candidate B's votes = 73% of V = 0.73V

    The difference in votes is given as:

    Difference = Votes of B - Votes of A = 1380

    0.73V - 0.27V = 1380

    0.46V = 1380

    V = 13800.46\frac{1380}{0.46}​ = 3000

    The total number of votes is 3000.

    Thus, the correct option is (d) 3000

    Alternate Method:

    Let, total votes = 100%

    So, 46% → 1380

    Total votes 138046%×100%\frac{1380}{46\%} \times 100\% = 3000


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