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Q.
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?
A.
10
B.
20
C.
21
D.
25
View Answer
Correct choice: C
Explanation:
Suppose the can initially contains 7x and 5x litres of mixtures A and B respectively Quantity of A in mixture left =(7x−712×9)=(7x−214) litres. Quantity of B in mixture left = (5x−512×9)=(5x−154) litres. (7x−214)(5x−154)+9=79 ⇒28x−2120x+21=79 ⇒x=3 So, the can contained 21 litres of A.
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