Quantitative Aptitude Ques 63

Question: The respective ratio of milk and water in the mixture is 4: 3, respectively. If 6 L of water is added to this mixture, the respective ratio of milk and water becomes 8: 7. What is the quantity of milk in the original mixture?

Options:

A) 96 L

B) 36 L

C) 84 L

D) 48 L

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let the original mixture be x. The ratio of milk and water is 4: 3. Quantity of milk = 4x and water = 3x 6 L of water is added and the ratio of milk and water become $ \frac{4x}{3x+6}=\frac{8}{7} $
    $ \Rightarrow $ $ 28x=24x+48 $

$ \Rightarrow $ $ 4x=48 $
$ \Rightarrow $ $ x=12 $ Quantity of milk in original mixture $ =4x=4\times 12=48,L $

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