Alligation Or Mixture Ques 2
Question
A container contains a mixture of milk and water in the respective ratio of $2: 3$. 20 litres of the mixture is replaced with same quantity of milk. The respective ratio of milk and water now becomes $4: 1$ . Find the initial quantity of the mixture in the container. (In litres).
(1) 30
(2) 32
(3) 35
(4) 36
(5) 40
(United Bank of India PGDBF Manipal Exam,07.08.2016)
Show Answer
Answer: (1)
Solution: (1)
Initial quantity of milk $=2 x$ litres
Water $=3 x$ litres
In 20 litres of mixture,
Milk $=\frac{2}{5} \times 20=8$ litres
Water $=\frac{3}{5} \times 20=12$ litres
On adding 20 litres of milk,
$ \begin{aligned} & \frac{2 x-8+20}{3 x-12}=\frac{4}{1} \\ & \Rightarrow 2 x+12=12 x-48 \\ & \Rightarrow 12 x-2 x=12+48 \\ & \Rightarrow 10 x=60\\ &\Rightarrow x=6 \\ & \text { Initial quantity of mixture } =5 x=5 \times 6=30 \text { litres } \\ \end{aligned} $
BETA
