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SSC Sample Paper SSC (Group-C) Sample Test Paper-7

  • question_answer
    A mixture contains alcohol and water in the ratio of \[5:4\]. If 18 litres of water is added to the mixture, the ratio of alcohol and water becomes\[4:5\]. What was the quantity of alcohol in the mixture initially?

    A)  36 litres                      

    B)  32 litres

    C)  40 litres          

    D)       None of these

    Correct Answer: C

    Solution :

     In the original mixture, Alcohol = 5x litres Water = 4x litres On adding 18 litres of water, \[\frac{5x}{4x+18}=\frac{4}{5}\]             \[\Rightarrow \]            \[25x=16x+72\] \[\Rightarrow \]            \[25x-16x=72\Rightarrow 9x=72\] \[\Rightarrow \]            \[x=72\div 9=8\] Quantity of alcohol \[=5x=5\times 8=40\]litres


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