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On Monday a store had a sale on bottles of juice S and juice

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On Monday a store had a sale on bottles of juice S and juice [#permalink] New post 07 Jan 2014, 05:45
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On Monday a store had a sale on bottles of juice S and juice T. If 1/2 the total number of bottles of juice S in stock were sold on Monday, for which juice, S or T, were more of the bottles sold that day?

(1) Two-thirds of the total number of bottles of juice T in stock were sold on Monday.
(2) At the beginning of the sale, there was a total of 90 bottles of juice S and 60 bottles of juice T in stock.

[Reveal] Spoiler:
IMO : C, NOT SURE OF THE OA
cAN SOMEBODY PLEASE tell me the exact solution and the right way to look at this problem?
[Reveal] Spoiler: OA

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Last edited by Bunuel on 07 Jan 2014, 06:04, edited 1 time in total.
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Re: On Monday a store had a sale on bottles of juice S and juice [#permalink] New post 07 Jan 2014, 06:04
Expert's post
nailit wrote:
On Monday a store had a sale on bottles of juice S and juice T. If 1/2 the total number of bottles of juice S in stock were sold on Monday, for which juice, S or T, were more of the bottles sold that day?
(1) Two-thirds of the total number of bottles of juice T in stock were sold on Monday.
(2) At the beginning of the sale, there was a total of 90 bottles of juice S and 60 bottles of juice T in stock.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

IMO : C, NOT SURE OF THE OA
cAN SOMEBODY PLEASE tell me the exact solution and the right way to look at this problem?


On Monday a store had a sale on bottles of juice S and juice T. If ½ the total number of bottles of juice S in stock were sold on Monday, for which juice, S or T, were more of the bottles sold that day?

(1) Two-thirds of the total number of bottles of juice T in stock were sold on Monday. So, we know that 2/3 of T and 1/2 of S was sold. We don't know the values of S and T to compare. Not sufficient.

(2) At the beginning of the sale, there was a total of 90 bottles of juice S and 60 bottles of juice T in stock. From this we can get that 90/2=45 bottles of S were sold but we don't know what part of 60 bottles of T were sold. Not sufficient.

(1)+(2) From above: 90/2=45 bottles of S and 60*2/3=40 bottles of T were sold. Thus more bottles fo S were sold than bottles of S. Sufficient.

Answer: C.

Hope it's clear.
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Re: On Monday a store had a sale on bottles of juice S and juice   [#permalink] 07 Jan 2014, 06:04
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