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SBI PO 02 July 2016 Shift 1 Paper
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© examsnet.com
Question : 36
Total: 100
A quantity of eight litres is drawn from a cask full of wine and then cask is filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
18 litres
24 litres
32 litres
42 litres
None of these
Validate
Solution:
Initial quantity of wine= x litres
Remaining quantity of wine= Initial quantity
(
1
−
Quantity
taken
out
Initial
quantity
)
n
⇒
16
16
+
65
=
(
1
−
8
x
)
4
⇒
16
81
=
(
1
−
8
x
)
4
⇒
(
2
3
)
4
=
(
1
−
8
x
)
4
⇒
2
3
= 1 -
8
x
⇒
8
x
= 1 -
2
3
=
1
3
⇒ x = 8 × 3 = 24 litres
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