Ratio And Proportion Ques 33
Question-
A jar contains apple, grapes and guava juices in the respective ratio of $4: 12: 15$. Two litres of apple juice was added and the respective ratio becomes $3: 8$ : 10. If 42 litres of mixture is taken out, what would be the remaining quantity of mixture in the jar? (in litre)
(1) 63
(2) 82
(3) 64
(4) 65
(5) 85
(IBPS Bank PO/MT CWE-VII (Prelim Exam) 14.10.2017)
Show Answer
Correct Answer: (2)
Solution: (2)
Quantity of apple juice $=4 x$ litres
Quantity of grape juice $=12 x$ litres
On adding 2 litres of apple juice,
$\frac{4 x+2}{12 x}=\frac{3}{8}$
$\Rightarrow 36 x=32 x+16$ $
$\Rightarrow 36 x-32 x=16$
$\Rightarrow 4 x=16 $
$\Rightarrow x=\frac{16}{4}=4$
$\therefore$ Quantity of juice in the vessel initially $=4 x+12 x+15 x$ $=31 x$ litres $=31 \times 4=124$ litres
On taking out 42 litres of mixture,
Reamining quantity of mixture of juices in the vessel $=124-42$ $=82$ litres
BETA
