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    Subject

    Quantitative Aptitude

    Topic

    Percentage

    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 ?

    ক)
    3241
    খ)
    2457
    গ)
    2642
    ঘ)
    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.

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