Quantitative Aptitude Ques 1227

Question: The ratio of the quantities of an acid and water in a mixture is 1: 3. If 5 L of acid is further added to the mixture, the new ratio becomes 1: 2. The quantity (in litres) of new mixture is

Options:

A) 32

B) 40

C) 42

D) 45

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let the quantity of acid in original mixture be x L and that of water be 3x L. According to the question, $ \frac{x+5}{3x}=\frac{1}{2} $

$ \Rightarrow $ $ 2x+10=3x $
$ \Rightarrow $ $ x=10 $

$ \therefore $ Quantity of new mixture $ =4x+5=4\times 10+5=45 $