Alligation Or Mixture Ques 19
Question
18 litres of pure water was added to a vessel containing 80 litres of pure milk. 49 litres of the resultant mixture was then sold and some more quantity of pure milk and pure water was added to the vessel in the respective ratio of $2: 1$. If the resultant respective ratio of milk and water in the vessel was $4: 1$, what was the quantity of pure milk added in the vessel? (in litres)
4
8
10
12
2
(IBPS Bank PO/MT CWE-V (Preliminary) 03.10.2015)
Show Answer
Answer: (1)
Solution: (1)
In initial mixture within the vessel,
Milk : Water $=80: 18=40: 9$
In 49 liters of mixture,
Milk = 40 litres
Water $=9$ litres
Let $2 x$ litres of milk and $x$ litres of water be added.
According to the question,
$ \begin{alignedat} & \frac{40+2 x}{9+x}=\frac{4}{1} \\ \Rightarrow & 36+4 x=40+2 x \\ \Rightarrow & 4 x-2 x=40-36 \\ \Rightarrow & 2 x=4 \\ \Rightarrow &x=2 \text{ litres} \\ \therefore & \text { Milk added. }=4 \text{ litres} \end{aligned} $
BETA
