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33. 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?
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A. 10
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B. 20
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C.
21
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D. 25
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Answer:
Suppose
the can initially contains 7x and 5x litres of mixtures A and B respectively
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Quantity
of A in mixture left
= (7x - 7/12 x 9) litres = (7x - 21/4) litres.
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Quantity
of B in mixture left
= (5x - 5/12 x 9) litres = (5x - 15/4) litres.
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(7x
- 21/4) / [(5x - 15/4)+9] = 7/9 = › 28x - 21/20x + 21 = 7/9 =› 252x - 189 =
140x + 147
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=›
112x = 336 =’ x = 3.
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So,
the can contained 21 litres of A.
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Title : Alligation Q33
Description : 33. 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 ...
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