Alligation Or Mixture Ques 4
Question
In jar A, 180 litre milk was mixed with 36 litre water. Some of this mixture was taken out from jar A and put it in jar B. If after adding 6 litres of water in the mixture, the respective ratio between milk and water in jar B was $5: 2$ respectively, what was the amount of mixture that was taken out from jar A? (in litres)
(1) 24
(2) 54
(3) 30
(4) 36
(5) 42
(IBPS Bank PO/MT (Pre.) Exam, 23.10.2016)
Show Answer
Answer: (4)
Solution: (4)
In jar A,
Milk : Water $=180: 36=5: 1$
Let $x$ litres of mixture be taken out.
Quantity of milk $=\frac{5 x}{6}$ litres
Quantity of water $=\frac{x}{6}$ litres
According to the question,
On adding 6 litres of water in jar B,
$ \begin{aligned} & \frac{\frac{5 x}{6}}{\frac{x}{6}+6}=\frac{5}{2} \\ &\Rightarrow \frac{\frac{5 x}{6}}{\frac{x+36}{6}}=\frac{5}{2} \\ & \Rightarrow \frac{5 x}{x+36}=\frac{5}{2} \\ & \Rightarrow 10 x=5 x+180 \\ & \Rightarrow 5 x=180 \\ & x=\frac{180}{5}=36 \text { litres } \end{aligned} $
BETA
