Alligation Or Mixture Ques 13
Question
A jar had 120 litre mixture of milk and water in the respective ratio of $5: 1$. 30 litres of this mixture is taken out and ’ $X$ ’ litre of each milk and water is added to the jar. The respective ratio between milk and water in the jar was 4 : 1 respectively. What was the total quantity of both milk and water added to the jar? (in litres)
(1) 12
(2) 10
(3) 16
(4) 20
(5) 18
(IBPS SO (Agriculture) Exam, 29.01.2017)
Show Answer
Answer: (2)
Solution: (2)
In 90 litres of mixture in the jar.
Milk $= \frac{5}{6} \times 90=75$ litres
Water $ = 15$ litres
On adding $x$ litres of milk and water each :
$ \frac{75+x}{15+x}=\frac{4}{1} $
$\Rightarrow 4 x+60=75+x$
$\Rightarrow 4 x-x=75-60$
$\Rightarrow 3 x=15$
$\Rightarrow x=\frac{15}{3}=5$
$\therefore$ Required quantity that was added $=2 \times 5=10$ litres.
BETA
