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A can contains a mixture of two liquids A and B in 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?

Correct Answer: 21

Explanation:

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


 


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


 


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


 


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


 


28 x - 21 20 x + 21 = 7 9


 


x = 3


 So, the can contained 21 litres of A.


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