Quantitative Aptitude Ques 1804

Question: A can contains a mixture of two liquids A and B in the ratio 7: 5.When 9 L of mixture are drained 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?

Options:

A) 10

B) 20

C) 21

D) 25

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the original quantity be $ 12xL $ In $ 9L $ of the mixture, Liquid $ A=\frac{7}{12}\times 9=\frac{21}{4}L $ Liquid $ B=\frac{5}{12}\times 9=\frac{15}{4}L $ According to the question, $ \frac{7x-\frac{21}{4}}{5x-\frac{15}{4}+9}=\frac{7}{9} $
    $ \Rightarrow $ $ \frac{28x-21}{20x-15+36}=\frac{7}{9} $

$ \Rightarrow $ $ \frac{28x-21}{20x+21}=\frac{7}{9} $
$ \Rightarrow $ $ \frac{4x-3}{20x+21}=\frac{1}{9} $

$ \therefore $ $ x=3 $ Original quantity of liquid $ A=7x=7\times 3=21L $

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