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# Piper bought three shirts. The three shirts cost \$210 in total, not in

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Math Expert
Joined: 02 Sep 2009
Posts: 53004
Piper bought three shirts. The three shirts cost \$210 in total, not in  [#permalink]

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02 May 2018, 00:38
00:00

Difficulty:

25% (medium)

Question Stats:

78% (01:09) correct 22% (01:06) wrong based on 38 sessions

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Piper bought three shirts. The three shirts cost \$210 in total, not including sales tax. What was the cost of the most expensive shirt?

(1) One shirt was twice as expensive as exactly one of the other shirts.
(2) One shirt cost one-half as much as exactly one of the other shirts.

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Joined: 31 Jan 2018
Posts: 41
Location: Germany
GMAT 1: 610 Q44 V30
GPA: 3
WE: Supply Chain Management (Manufacturing)
Re: Piper bought three shirts. The three shirts cost \$210 in total, not in  [#permalink]

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02 May 2018, 00:55
1: the shirts could cost: \$10, \$20, \$180
or: \$20, \$40, \$150
-> not sufficient

2: says exactly the same

E
CEO
Joined: 11 Sep 2015
Posts: 3435
Re: Piper bought three shirts. The three shirts cost \$210 in total, not in  [#permalink]

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03 Feb 2019, 08:36
Top Contributor
Bunuel wrote:
Piper bought three shirts. The three shirts cost \$210 in total, not including sales tax. What was the cost of the most expensive shirt?

(1) One shirt was twice as expensive as exactly one of the other shirts.
(2) One shirt cost one-half as much as exactly one of the other shirts.

IMPORTANT: Notice that statements 1 and 2 provide the EXACT SAME INFORMATION.
When this occurs, the correct answer is either D or E
Since the information is so sparse, I have a feeling that the correct answer is E. So, I'm going to try to find two possible cases that satisfy both statements, yet yield conflicting answers to the target question.

Target question: What was the cost of the most expensive shirt?

Given: The three shirts cost \$210 in total

Statements 1 and 2 combined
There are several scenarios that satisfy BOTH statements. Here are two:
Case a: The prices of the three shirts are \$10, \$20, \$180. In this case, the answer to the target question is the most expensive shirt costs \$180
Case b: The prices of the three shirts are \$20, \$40, \$150. In this case, the answer to the target question is the most expensive shirt costs \$150
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Cheers,
Brent
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Re: Piper bought three shirts. The three shirts cost \$210 in total, not in   [#permalink] 03 Feb 2019, 08:36
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