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# A vessel is full of a mixture of milk and water, with 9% milk. Nine li

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Joined: 29 Nov 2018
Posts: 265
Concentration: Marketing, Strategy
A vessel is full of a mixture of milk and water, with 9% milk. Nine li  [#permalink]

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03 Aug 2019, 09:16
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Difficulty:

5% (low)

Question Stats:

80% (01:57) correct 20% (01:13) wrong based on 5 sessions

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A vessel is full of a mixture of milk and water, with 9% milk. Nine litres are withdrawn and then replaced with pure water. If the milk is now 6%, how much
does the vessel hold?

(A) 27 litres
(B) 18 litres
(C) 36 litres
(D) 40 litres
Intern
Joined: 26 Jan 2010
Posts: 23
Location: chile
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Re: A vessel is full of a mixture of milk and water, with 9% milk. Nine li  [#permalink]

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03 Aug 2019, 15:57
Initial liters X, 9 liters are extracted, there are (X-9) liters, quantity of milk there, (X-9) (9/100).
That amount of milk does not change, if the total volume changes, it increases by 9 liters, so we have a solution of X liters to 6% of milk.

Then the amount of milk has not increased or decreased is the same.
So we have to,
(X-9) (9/100) = X (6/100)
X (9/100) - 9 (9/100) = X (6/100)
X (9/100 -6/100) = 9 (9/100)
X (3/100) = 81/100
X = 27 LTS

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Re: A vessel is full of a mixture of milk and water, with 9% milk. Nine li   [#permalink] 03 Aug 2019, 15:57
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# A vessel is full of a mixture of milk and water, with 9% milk. Nine li

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