Multiple Choice Questions on 48 litre of Glycerin is mixed with 144 litre Rose water D litre of total mixture is taken out and 3........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

48 litre of Glycerin is mixed with 144 litre Rose water D litre of total mixture is taken out and 3...........

Quant (SSC) Mixture and Alligation
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    48 litre of Glycerin is mixed with 144 litre Rose water. D litre of total mixture is taken out and 32 litre Glycerin and 48 litre Rose water are added in the mixture. The final mixture contains 30% Glycerin, find the quantity of the mixture that is taken out.

    24 litres

    Incorrect Answer

    32 litres

    Correct Answer

    40 litres

    Incorrect Answer

    20 litres

    Incorrect Answer
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    Explanation:
    Total mixture = 48 + 144 = 192 litre
    % of Glycerin = 48/ 192 × 100 = 25% = % of Rose water = 75%
    In the final mixture glycerin= 30%, Rose water = 70%
    Ratio = 30 : 70 = 3 : 7
    (48 – D × 25% + 32) : (144 – D × 75% + 48) = 3 : 7
    7 (48 – D × 25% + 32) = 3 (144 – D × 75% + 48)
    7 (80 – 0.25 D) = 3 (192 – 0.75 D)
    560 – 1.75 D = 576 – 2.25 D
    2.25 D – 1.75 D = 576 – 560
    0.5 D = 16
    D = 32 litre

    By: Amit Kumar
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