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  • Question
  • A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres 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 contained by the can initially?


  • Options
  • A. 10
  • B. 20
  • C. 21
  • D. 25

  • Correct Answer
  • 21 

    Explanation
    Suppose the can initially contains 7x and 5x of mixtures A and B respectively.

    Quantity of A in mixture left = 7x - 7 x 9 litres = 7x - 21 ❩ litres.
    12 4

    Quantity of B in mixture left = 5x - 5 x 9 litres = 5x - 15 ❩ litres.
    12 4

    7x - 21
    4
    = 7
    5x - 15 ❩ + 9
    4
    9

    28x - 21 = 7
    20x + 21 9

    ⟹ 252x - 189 = 140x + 147

    ⟹ 112x = 336

    x = 3.

    So, the can contained 21 litres of A.


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