Alligation Or Mixture Ques 23
Question
A jar has 60 litres of milk. From the jar, 12 litres of milk was taken out and replaced by an equal amount of water. If 12 litres of the newly formed mixture is taken out of the jar and replaced by on equal amount of water, what is the final quantity of milk left in the jar?
(1) 38.4 litres
(2) 40 litres
(3) 36 litres
(4) 28.6 litres
(5) 36.5 litres
(IBPS Specialist Officer (IT) CWE 14.02.2016)
Show Answer
Answer: (1)
Solution: (1)
Remaining quantity of milk $=$ Initial quantity $\left(1-\frac{\text { quantity taken out }}{\text { Initial quantity }}\right)^{n}$
$ \begin{aligned} = & 60\left(1-\frac{12}{60}\right)^{2} \\ = & 60\left(1-\frac{1}{5}\right)^{2}=60\left(\frac{4}{5}\right)^{2} \\ = & \frac{60 \times 4 \times 4}{5 \times 5}=38.4 \text { litres } \end{aligned} $
BETA
