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CAT 2015 Quantitative Ability
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© examsnet.com
Question : 4
Total: 34
From a vessel completely filled up with pure wine,140 litres of content is removed and replaced with equal quantity of water. The process is repeated one more time. In a 98 litres sample of the resulting solution 80 litres is water. Find the capacity (in litres) of the vessel.
Your Answer:
Validate
Solution:
Let x be the initial quantity of wine in the vessel, y litres of content is removed twice. The part of wine left is
x
(
1
−
y
x
)
2
Now in 98 L of sample 18 L is wine which is same as
18
98
part of the solution
(
1
−
y
x
)
2
=
(
x
−
y
)
2
x
2
=
18
98
=
9
49
⇒
(
x
−
140
)
2
x
2
=
9
49
⇒
x
=
245
© examsnet.com
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