Subject

    Quantitative Aptitude

    Topic

    Percentage

    Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

    ক)
    2 : 3
    খ)
    1 : 1
    গ)
    3 : 4
    ঘ)
    4 : 3

    Explanation

    5% of A + 4% of B =2/3(6% of A + 8% of B) => 5A/100 + 4B/100 = 2/3 (6A/100 + 8B/100) => 1A/20 + 1B/25 = 1A/25 + 4B/75 => (1/20 – 1/25)A = (4/75 – 1/25)B => 1A/100 = 1B/75 A/B = 100/75=4/3 So, Required ratio = 4:3

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