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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?

A
10
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B
20
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C
21
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D
25
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Solution

The correct option is B 21
Suppose the can initially contains 7x and 5x of mixtures A and B respectively.
Quantity of A in mixture left =(7x712×9) litres =(7x214) litres.
Quantity of B in mixture left =(5x512×9) litres =(5x154) litres.
(7x214)(5x154)+9=79
28x2120x+21=79
252x189=140x+147
112x=336
x=3.
So, the can contained 21 litres of A.

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