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SSC Sample Paper Mock Test-18 SSC CGL Tear-II Paper-1

  • question_answer
    A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 L of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was there in the can initially?     

    A)                10 L

    B)  20 L            

    C)  21 L    

    D)  25 L 

    Correct Answer: C

    Solution :

    Initially, let the can hold \[7x\] L and \[5x\] L of A and B respectively.
    Quantity of A in remaining mixture
    \[=\left( 7x-\frac{7}{12}\times 9 \right)\,\,\text{L}\]
    \[=\left( 7x-\frac{21}{4} \right)\,\,\text{L}\]
    Quantity of B in remaining mixture
    \[=\left( 5x-\frac{5}{12}\times 9 \right)\,\,\text{L}\]
    \[=\left( 5x-\frac{15}{4} \right)\,\,\text{L}\]
    \[\therefore \]      \[\frac{\left( 7x-\frac{21}{4} \right)}{\left( 5x-\frac{15}{4} \right)+9}=\frac{7}{9}\]\[\Rightarrow \]\[\frac{28x-21}{20x+21}=\frac{7}{9}\]
    \[\Rightarrow \]   \[252x-189=140x+147\]
    \[\Rightarrow \]   \[112x=336\]\[\Rightarrow \]\[x=3\]
    Initially, the can contained \[(7\times 3)\,\,\text{L}=21\,\,\text{L}\]


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