Alligation Or Mixture Ques 7
Question
Jar A contains 78 litres of milk and water in the respective ratio of $6: 7$. 26 litres of the mixture was taken out from Jar A. What quantity of milk should be added to jar A, so that water constitutes $40 \%$ of the resultant mixture in jar A?
(1) 8 litres
(2) 36 litres
(3) 12 litres
(4) 14 litres
(5) 18 litres
(IBPS RRBs Officer CWE (Pre.)14.11.2016 (Shift-I))
Show Answer
Answer: (5)
Solution: (5)
In remaining $(78-26)$ $=52$ litres of mixture,
Quantity of milk $=\frac{6}{13} \times 52$ $=24$ litres
Quantity of water $=\frac{7}{13} \times 52$ $=28$ litres
Let $x$ litres of milk be added.
$\therefore \frac{28}{52+x}=\frac{40}{100}$
$ \frac{28}{52+x}=\frac{2}{5}$
$\Rightarrow 104+2 x=140$
$\Rightarrow 2 x=140-104=36$
$\Rightarrow x=\frac{36}{2}=18$ litres
BETA
