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    Question

    In a village 80% of votes were cast in an election. A and B were the contestants. A won by 800 votes. If B had got 20% more votes, there would have been a tie between them. Find the number of recognised voters in the village?

    A 4800 Correct Answer Incorrect Answer
    B 8000 Correct Answer Incorrect Answer
    C 5000 Correct Answer Incorrect Answer
    D 6000 Correct Answer Incorrect Answer

    Solution

    Let the votes received by A be x & B be y.

    Now as per the given statements,

    x – y = 800 .....(1) 120%y = x - 20 %y y = 5x/7 ------(2)

    Using (3) to solve (1) we get x - 5x/7 = 800 2x/7 = 800 x = 2800,y = 2000 Now, we know that A & B collectively won 80% of total votes. If the total number of registered voters in the village be M,

    80 %M = 2800 + 2000 = 4800 so, M = 4800/80 % = 6000

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