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 $