Subject

    Quantitative Aptitude

    Topic

    Ratio

    Gold is 19 times as heavy as water and copper is 9 times as heavy as water in what ratio should this be mixed to get an alloy r 15 times as heavy as water :

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

    Explanation

    Let,  the mass of 1 volume unit of water be 1. Then 1 volume unit of gold has mass 19, and 1 volume unit of copper has mass 9.  Now let g be the volume of gold used, and let c be the volume of copper. The total mass divided by the total volume is the density.  (19g + 9c)/(g + c) = 15  19g + 9c = 15g + 15c  4g = 6c  2g = 3c  g/c = 3/2  The volume ratio is 3:2.

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