Alligation Or Mixture Ques 12
Question
A vessel contains 100 litres mixture of milk and water in the respective ratio of $22: 3$. 40 litres of the mixture is taken out from the vessel and 4.8 litres of pure milk and pure water each is added to the mixture. By what percent is the quantity of water in the final mixture less than the quantity of milk?
(1) $78 \frac{1}{2}$
(2) $79 \frac{1}{6}$
(3) $72 \frac{5}{6}$
(4) $76$
(5) $77 \frac{1}{2}$
(IBPS RRBs Officer Scale-I & II CWE 13.09.2015)
Show Answer
Answer: (2)
Solution: (2)
Remaining mixture in the vessel $=60$ litres
Milk $=\frac{22}{25} \times 60=52.8$ litres
Water $=7.2$ litres
On adding additional milk and water,
Milk $=52.8+4.8=57.6$ litres
Water $=7.2+4.8=12$ litres
$\therefore$ Required percent $=\frac{57.6-12}{57.6} \times 100$ $=\frac{45.6}{57.6} \times 100=\frac{475}{6}=79 \frac{1}{6}$
BETA
