Subject

    Quantitative Aptitude

    Topic

    Miscellaneous

    What will be the ratio of petrol and kerosene in the final solution formed by mixing petrol and kerosene that are present in three vessels of equal capacity in the ratios 4 : 1, 5 : 2 and 6 : 1 respectively?

    ক)
    166 : 22
    খ)
    83 : 22
    গ)
    83 : 44
    ঘ)
    22 : 83
    ঙ)
    None of these

    Explanation

    Let, the capacity of each vessel is x. Petrol and kerosene in the ratio 4 : 1 means, Out of 5 units of mixture, 4 are of petrol and one is of kerosene. In the first vessel, petrol is 4/5 th and kerosene is 1/5 th of x. In the second vessel, petrol is 5/7 th and kerosene is 2/7 th of x. In the third vessel, petrol is 6/7 th and kerosene is 1/7 th of x. After mixing, Quantity of petrol = (4x/5) + (5x/7) + (6x/7) = 83x/35 Quantity of kerosene = (x/5) + (2x/7) + (x/7) = 22x/35 So, ratio of petrol to kerosene  =83352235=8322= {\rm{}}\frac{{\frac{{83}}{{35}}}}{{\frac{{22}}{{35}}}} = \frac{{83}}{{22}}

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