Alligation Or Mixture Ques 21
Question
A vessel contains a mixture of Grape, Pineapple and Banana juices in the respective ratio of $4: 6: 5$. 15 litres of this mixture is taken out and 8 litres of grape juice and 2 litres of pineapple juice is added to the vessel. If the resultant quantity of grape juice is 10 litres less than the resultant quantity of pineapple juice, what was the initial quantity of mixture in the vessel? (in litres)
(1) 120
(2) 150
(3) 105
(4) 135
(5) 90
(IBPS Bank PO/MT CWE-V (Preliminary) 10.10.2015)
Show Answer
Answer: (4)
Solution: (4)
Total initial quantity of juice in the vessel $=4 x+6 x+5 x=$ $15 x$ litres
In 15 litres of juice,
Grapes’s juice $=4$ litres
Pineapple’s juice $=6$ litres
Banana’s juice $=5$ litres
According to the question,
$(6 x-6+2)-(4 x-4+8)=10$
$\Rightarrow 6 x-4-4 x-4=10$
$\Rightarrow 2 x-8=10$
$\Rightarrow 2 x=10+8=18$
$\Rightarrow x=9$
$\therefore$ Intitial quantity of mixture $=$ $15 x=15 \times 9=135$ litres
BETA
