Alligation Or Mixture Ques 6
Question
120 of litres orange juice was mixed with 20 litres of water. 7 litres of this mixture was taken out and ’ $x$ ’ litre water was added and therefore the resultant ratio between orange juice and water was $19: 4$ respectively. If 23 litres of mixture was again taken out, what was the resultant quantity of water in the final mixture? (in litre)
20
12
24
8
16
(Bank of Maharashtra PO Exam, 26.10.2016)
Show Answer
Answer: (1)
Solution: (1)
In original mixture,
Juice : water $=120: 20=6: 1$
In 7-liter mixture,
Milk = 6 litres
Water $=1$ liter
According to the question,
$\frac{120-6}{20-1+x}=\frac{19}{4}$
$\Rightarrow \frac{114}{19+x}=\frac{19}{4}$
$\Rightarrow \frac{6}{19+x}=\frac{1}{4} $
$\Rightarrow 19+x=24$
$\Rightarrow x=24-19=5$ litres
In 23 litres of the resulting mixture,
Quantity of water $=4$ litres
$\therefore$ Required quantity of water $=19+x-4$ $=15+x=20$ litres
BETA
