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RBI Grade B Officers 22 Nov 2015 Paper
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© examsnet.com
Question : 4
Total: 200
In a vessel there is a certain quantity of mixture of milk and water in the ratio 5 : 1 respectively. 24 litres of mixture is taken out and same quantity of milk is added to the vessel. The ratio of milk and water now becomes 13 : 2 respectively. Again 15 litres of mixture is taken out. What is the quantity of milk in the resulting mixture? (in litres)
85 litres
80 litres
81 litres
91 litres
None of these
Validate
Solution:
(4) Initial quantity of mixturein the vessel = 6x litres (let)In 24 litres of mixture,
Milk
=
5
6
×
24
=
20
l
i
t
r
e
s
Water = 4 litres
According to the question,
5
x
−
20
+
24
x
−
4
=
13
2
⇒
5
x
+
4
x
−
4
=
13
2
⇒
13
x
–
52
=
10
x
+
8
⇒
13
x
–
10
x
=
52
+
8
⇒
3
x
=
60
⇒
x
=
60
3
=
20
Again in 15 litres of mixture
Milk = 13 litres
∴ Required quantity of milk
=
5
x
–
20
+
24
–
13
=
(
5
x
–
9
)
l
i
t
r
e
s
=
20
×
5
–
9
=
91
l
i
t
r
e
s
© examsnet.com
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