A chemical solution contains 30% water and 70% Alkali

A chemical solution contains 30% water and 70% Alkali. What quantity of water should be added to 6 litre of solution so that water content becomes 40%?
(a) 900 ml
(b) 1000 ml
(c) 500 ml
(d) 700 ml

Anurag Mishra Professor Asked on 2nd April 2016 in Maths.
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  • 1 Answer(s)

    Answer: (b) 1000 ml

    Solution:-

    Let X liter of water is added to the solution.
    Then, Total quantity of solution= (6 + x) litre
    Quantity of water =  (1.8 + X) litre
    concentration of water = 40%

    Quantity of water in 6 litre solution = 6 x 30/100
    = 1.8 litre

    Therefore,
    (6 + x) x 40/100 = 1.8 + X
    (6 + X) x 2/5 = 1.8 + X
    2 (6 + X) = 5 (1.8 + X)
    12 + 2 X = 9 + 5 X
    3 X = 3
    X = 1 litre
    As we know that 1 litre = 1000 ml

    Then, the quantity of water should be added 1000 ml.

    Hence, the correct answer is option (b) 1000 ml.
    Anurag Mishra Professor Answered on 3rd April 2016.
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