Subject

    Quantitative Aptitude

    Topic

    Miscellaneous

    A tin contains a mixture of coke and pepsi in the ratio of 7 : 3 and another tin contains the coke and pepsi in the ratio of 5 : 4. In what proportion should the solution of the two tins be mixed to achieve a perfect proportion of 2 : 1(inn which coke is 2 times of pepsi)?

    ক)
    11 : 4
    খ)
    10 : 3
    গ)
    12 : 5
    ঘ)
    11 : 7
    ঙ)
    None of these

    Explanation

    According to the question, in, The mixture M 1 - Coke : pepsi = 7 : 3 The mixture M 2 - Coke : pepsi = 5 : 4 Proportion of coke in the mixture M 1 = 7/10, Proportion of coke in the mixture M 2 = 5/9, Proportion of the new mixture = 2/3 (required) According to the law of mixture- Required ratio=23−59710−23=19130=103=10:3Required\ ratio = \frac{{\frac{2}{3} - \frac{5}{9}}}{{\frac{7}{{10}} - \frac{2}{3}}} = \frac{{\frac{1}{9}}}{{\frac{1}{{30}}}} = \frac{{10}}{3} = 10:3 Hence, the required ratio is 10 : 3.

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