Subject

    Quantitative Aptitude

    Topic

    Miscellaneous

    The amount of alcohol in two varieties of whiskey are 27% volume/volume and 42% volume/volume. In what ratio should they be mixed so that the mixture has 33% volume/volume alcohol?

    ক)
    8 : 7
    খ)
    3 : 2
    গ)
    2 : 1
    ঘ)
    1 : 1

    Explanation

    Let the whiskeys are mixed in amounts M litres and N litres. ⇒ Amount of alcohol in first variety = 0.27M ⇒ Amount of alcohol in second variety = 0.42N Total amount of mixture = (M + N) litres Amount of alcohol in mixture = 33% volume/volume = 0.33(M + N) ⇒ 0.27M + 0.42N = 0.33(M + N) ⇒ 0.09N = 0.06M ⇒ M/N = 3/2 ∴ Ratio in which they should be mixed is 3 : 2.

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