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# Leo can buy a certain computer for p1 dollars in State A,

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Leo can buy a certain computer for p1 dollars in State A, [#permalink]

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11 Nov 2008, 15:54
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Leo can buy a certain computer for p1 dollars in State A, where the sales tax is t1 percent, or he can buy the same computer for p2 dollars in State B, where the sales tax is t2 percent. Is the total cost of the computer greater in State A than in State B?
(1) t1 > t2
(2) p1t1 > p2t2

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.
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12 Nov 2008, 01:08
C.

Total cost in state A = p1(1+t1/100) and in state B = p2(1+t2/100)
From stmt1: we know that t1 > t2, but not sure of p1 and p2.....insufficient.
From stmt2: we know that p1t1 > p2t2 and again not sure of p1 and p2....insufficient.

Combining two, p1(1+t1/100) > p2(1+t2/100)
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12 Nov 2008, 01:11
scthakur wrote:
C.

Total cost in state A = p1(1+t1/100) and in state B = p2(1+t2/100)
From stmt1: we know that t1 > t2, but not sure of p1 and p2.....insufficient.
From stmt2: we know that p1t1 > p2t2 and again not sure of p1 and p2....insufficient.

Combining two, p1(1+t1/100) > p2(1+t2/100)

Correction. It will be E.

if t1 > t2 and p1t1 > p2t2, we cannot say that p1 > p2.....hence, E.
Re: computer   [#permalink] 12 Nov 2008, 01:11
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