Alligation Or Mixture Ques 9
Question
Jar A has 36 litres of mixture of milk and water in the respective ratio of $5: 4$. Jar B which had 20 litres of mixture of milk and water, was emptied into jar A, and as a result in jar $A$, the respective ratio of milk and water becomes $5: 3$. What was the quantity of water in jar B ?
(1) 5 litres
(2) 3 litres
(3) 8 litres
(4) 2 litres
(5) 1 litre
(IBPS RRBs Officer CWE (Pre.) 14.11.2016 (Shift-III))
Show Answer
Answer: (1)
Solution: (1)
Quantity of water in jar $B=x$ litres (let).
$\therefore$ Quantity of milk $=(20-x)$ litres
In Jar A,
Quantity of milk $=\frac{5}{9} \times 36$ $=20$ litres
Quantity of water $=\frac{4}{9} \times 36$ $=16$ litres
According to the question,
$\frac{20+20-x}{16+x}=\frac{5}{3}$
$\Rightarrow \frac{40-x}{16+x}=\frac{5}{3}$
$\Rightarrow 80+5 x=120-3 x$
$\Rightarrow 8 x=120-80=40$
$\Rightarrow x=\frac{40}{8}=5$ litres
BETA
