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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-2

  • question_answer
    In a 120 L of mixture of milk and water, water is only 25%. The milkman sold 20 L of this mixture and then he added 16.2 L of pure milk and 3.8 L of pure water in the remaining mixture. What is the percentage of water in the final mixture?                                                                                               [LIC (AAO) 2014]

    A) 22%    

    B) 21%  

    C) 24%    

    D) 25%

    E) 20%

    Correct Answer: C

    Solution :

    [c] Quantity of water in original mixture
    \[=120\times \frac{25}{100}=30L\]
    and quantity of milk in original mixture
    \[=120-30=90L\]
    Now, milkman sold 20 L of mixture,
    So, remaining mixture \[=120-20=100L\]
    \[\therefore \] Quantity of water in 100 L mixture
                \[=100\times \frac{25}{100}=25L\]
    and quantity of milk in 100 L mixture
                \[=100-25=75L\]
    Now, milkman made new mixture.
    \[\therefore \] Quantity of milk in new mixture \[75+16.2=91.2\,L\]
    and quantity of water in new mixture
    \[=25+3.8=28.8L\]
    Now, percentage of water in new mixture
    \[=\frac{28.8}{(91.2+28.8)}\times 100\]%
    \[=\frac{2880}{120}\]%\[=\frac{288}{12}\]%=24%
     


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