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  1. A can contains a mixture of 2 liquids A and B in proportion 7 : 5 when 9 liters of mixture are drawn off and the can is filled with B, the proportion of A and B becomes 7 : 9. How many liters of liquid A was contained by the can initially ?
    1. 25
    2. 10
    3. 20
    4. 21
Correct Option: D

Let the can initially contain 7y litres and 5y litre of mixtures A and B respectively. Thus out of 12y litre of total mixture, 9 litre were taken out.

Quantity of A in mix. left = 7y -
9
× 7y
28y - 21
litres
12x4
Quantity of B in mix. left = 5y -
9
× 5y
12x

Quantity of B in mix. left =
20y - 15
litres
4
According to question ,
28y - 21
:
20y - 15
+ 9 :: ( 7 : 9 )
44
⇒ y = 3
Hence , Required answer 7y = 7 x 3 = 21 litre.



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