Alligation Or Mixture Ques 8
Question
Jar A has 60 litres of mixture of milk and water in the respective ratio of $2: 1$. Jar B which had 40 litres of mixture of milk and water was emptied into jar A, as a result in jar $A$, the respective ratio of milk and water became $13: 7$. What was the quantity of water in jar B?
(1) 8 litres
(2) 15 litres
(3) 22 litres
(4) 7 litres
(5) 1 litre
(IBPS RRBs Officer CWE (Pre.))
Show Answer
Answer: (2)
Solution: (2)
In jar A,
Quantity of milk $=\frac{2}{3} \times 60$ $=40$ litres
Quantity of water $=20$ litres
Let the quantity of water in jar $B$ be $x$ litres.
$\therefore$ Quantity of milk $=(40-x)$ litres
According to the question,
$\frac{40+40-x}{20+x}=\frac{13}{7}$
$\Rightarrow \frac{80-x}{20+x}=\frac{13}{7}$
$\Rightarrow 260+13 x=560-7 x$
$\Rightarrow 13 x+7 x=560-260$
$\Rightarrow 20 x=300$
$\Rightarrow x=\frac{300}{20}=15$ litres
BETA
