Alligation Or Mixture Ques 15

Question

A mixture of milk and water in a jar comprises 12 litre of milk. If 5 litre of pure milk and 3 litre of pure water were added to this jar, the percentage of water in the new mixture would be $20 \%$. What was the initial quantity of water in the jar? (in litre)

(1) 5

(2) 4

(3) 2

(4) 6

(5) 1.25

(IBPS RRBs Officer CWE (Prelim Exam) 16.09.2017)

Show Answer

Answer: (5)

Solution: (5)

Let the quantity of water in the original mixture be $x$ litres.

According to the question,

$\frac{x+3}{17+x+3}=\frac{20}{100}$

$\Rightarrow \frac{x+3}{20+x}=\frac{1}{5}$

$\Rightarrow 5 x+15=20+x$

$\Rightarrow 5 x-x=20-15$

$\Rightarrow 4 x=5 $

$\Rightarrow x=\frac{5}{4}=1.25$ litres