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  • Question
  • In an election between two candidates K and L, the number of valid votes received by K exceeds those received by L by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did L get ?


  • Options
  • A. 3241
  • B. 2457
  • C. 2642
  • D. 2834

  • Correct Answer
  • 2834 

    Explanation

    Let the total number of votes polled in the election be 100k.
    Number of valid votes = 100k - 20% (100k) = 80k
    Let the number of votes polled in favour of K and L be a and b respectively.
    a - b = 15% (100k) => a = b + 15k
    => a + b = b + 15k + b
    Now, 2b + 15k = 80k and hence b = 32.5k
    It is given that 100k = 8720
    32.5k = 32.5k/100k x 8720 = 2834

    The number of valid votes polled in favour of L is 2834.

  • Tags: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

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