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    In an election, Candidate A received 45% of the total votes, and Candidate B received 30% of the total votes. If the remaining 15000 votes were inva
    Question

    In an election, Candidate A received 45% of the total votes, and Candidate B received 30% of the total votes.
    If the remaining 15000 votes were invalid, find the total number of votes polled.

    A.

    50000

    B.

    60000

    C.

    40000

    D.

    75000

    Correct option is B

    Given
    Votes for Candidate A = 45%
    Votes for Candidate B = 30%
    Invalid votes = 15000

    Formula Used
    Total percentage of votes = 100%
    Invalid votes percentage = 100% - (Votes of A %+Votes of B %) (\text{Votes of A } \% + \text{Votes of B } \%)​​

    Solution
    Calculate the total percentage of valid votes received by both candidates:
    45% + 30% = 75%
    100% - 75% = 25%
    This means 25% of the total votes equals 15000.
    Let the total number of votes be x.
    25100×x=15000 x=15000×10025 x=60000\frac{25}{100} \times x = 15000\\\ \\x = \frac{15000 \times 100}{25}\\\ \\x = 60000​​

    Final Answer
    So the correct answer is (b)

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