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# From a cask containing y liters of milk, x liters of milk is drawn out

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
From a cask containing y liters of milk, x liters of milk is drawn out  [#permalink]

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16 Oct 2018, 23:45
00:00

Difficulty:

45% (medium)

Question Stats:

69% (01:37) correct 31% (01:54) wrong based on 65 sessions

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From a cask containing y liters of milk, x liters of milk is drawn out and z liters of water are then added to the cask. This process is repeated one more time. What is the fraction of milk finally present in the mixture in the cask?

(1) x = 20, y = 100
(2) x and z form 20% and 10% of y, respectively

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Joined: 07 Dec 2017
Posts: 890
Re: From a cask containing y liters of milk, x liters of milk is drawn out  [#permalink]

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17 Oct 2018, 03:08
Bunuel wrote:
From a cask containing y liters of milk, x liters of milk is drawn out and z liters of water are then added to the cask. This process is repeated one more time. What is the fraction of milk finally present in the mixture in the cask?

(1) x = 20, y = 100
(2) x and z form 20% and 10% of y, respectively

To know the fraction of milk remaining, we either need to know the relative fractions of x,y and z, or their absolute numbers.
We'll look for statements that give us this information, a Logical approach.

(1) Lacking z, we cannot say.
Insufficient.

(2) This gives us the ratios, exactly what we need!
Sufficient.

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Re: From a cask containing y liters of milk, x liters of milk is drawn out   [#permalink] 17 Oct 2018, 03:08
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