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SSC Quantitative Aptitude Mixture And Alligation Question Bank Mixture and Allegation (II)

  • question_answer
    From a vessel containing 100 L of wine, 10 L are drawn out and, an equal amount of water is added. From the mixture, 10 L is again drawn out and same quantity of water is added. What is the final ratio of wine and water?

    A) 80 : 20

    B) 90 : 10

    C) 91 : 9

    D) 81 : 19

    Correct Answer: D

    Solution :

    [d] Here, a = 10 L, n = 2 and x = 100 L \[\therefore \] Quantity of wine in end \[=x{{\left( 1-\frac{a}{x} \right)}^{n}}=100{{\left( 1-\frac{10}{100} \right)}^{2}}=81\,\text{L}\] \[\therefore \] Required ratio \[=81:(100-81)=81:19\]


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