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    Question

    There were two candidates in an election. 10 % of the

    total voters did not cast their votes whereas 15% of the casted votes were declared invalid. If the winning candidates received 65% of the votes and won by 1620 votes, then find out the total number of votes?
    A 4000 Correct Answer Incorrect Answer
    B 3600 Correct Answer Incorrect Answer
    C 5400 Correct Answer Incorrect Answer
    D 4800 Correct Answer Incorrect Answer
    E 8000 Correct Answer Incorrect Answer

    Solution

    Let the total voters be 100 Number of voters who cast their votes = 90 Number of valid votes = 90 × 85/100 = 76.5 Winning candidate got 65% of total votes = 90 × 65 % = 58.5 Losing candidate = 76.5 – 58.5 = 18 Difference between winning and losing candidates votes = 1620 => 58.5 – 18 = 1620 => 40.5 = 1620 1 = 1620/40.5 100 = (1620/40.5) × 100 = 4000

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