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# Did Suzy pay less than a total of \$p dollars for the phone? (1) The pr

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Math Expert
Joined: 02 Sep 2009
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Did Suzy pay less than a total of \$p dollars for the phone? (1) The pr  [#permalink]

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10 Oct 2018, 04:51
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Difficulty:

15% (low)

Question Stats:

75% (01:01) correct 25% (01:09) wrong based on 65 sessions

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Did Suzy pay less than a total of \$p dollars for the phone?

(1) The price Suzy paid for her phone was \$0.80p, excluding the 10 percent sales tax.
(2) The price Suzy paid for her phone was \$200, excluding the 10 percent sales tax.

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Did Suzy pay less than a total of \$p dollars for the phone? (1) The pr  [#permalink]

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Updated on: 10 Oct 2018, 20:04
Bunuel wrote:
Did Suzy pay less than a total of \$p dollars for the phone?

(1) The price Suzy paid for her phone was \$0.80p, excluding the 10 percent sales tax.
(2) The price Suzy paid for her phone was \$200, excluding the 10 percent sales tax.

Question: Is Suzy < p ?

Statement 1: S = 0.8P+0.1*(0.8p)

SUFFICIENT

Statement 2: Suzy = 200+0.1*Sales
No information about p to compare it with 0.1*Sales hence
NOT SUFFICIENT

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Originally posted by GMATinsight on 10 Oct 2018, 05:00.
Last edited by GMATinsight on 10 Oct 2018, 20:04, edited 2 times in total.
Rice (Jones) School Moderator
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Re: Did Suzy pay less than a total of \$p dollars for the phone? (1) The pr  [#permalink]

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10 Oct 2018, 06:13
GMATinsight

I am confused since I thought St 1 is sufficient. Question is if Suzy paid <\$p. From St 1, she paid 0.8p+ 0.1*0.8p = 0.88p < p. Did I miss something?

GMATinsight wrote:
Bunuel wrote:
Did Suzy pay less than a total of \$p dollars for the phone?

(1) The price Suzy paid for her phone was \$0.80p, excluding the 10 percent sales tax.
(2) The price Suzy paid for her phone was \$200, excluding the 10 percent sales tax.

Question: Is Suzy < p ?

Statement 1: S = 0.8P+0.1*Service tax
No information about p to compare it with 0.1*Service tax hence
NOT SUFFICIENT

Statement 2: Suzy = 200+0.1*Service Tax
No information about p to compare it with 0.1*Service tax and 200 hence
NOT SUFFICIENT

Combining the two statements

Suzy = 200+0.1*Service Tax = 0.8P+0.1*Service tax

i.e. p = 200/0.8 = 250

But we can't compare 0.1*Service Tax with 50 (250-200) hence

NOT SUFFICIENT

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Did Suzy pay less than a total of \$p dollars for the phone? (1) The pr  [#permalink]

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Updated on: 10 Oct 2018, 20:05
......Unable to delete the post...
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Originally posted by GMATinsight on 10 Oct 2018, 06:30.
Last edited by GMATinsight on 10 Oct 2018, 20:05, edited 1 time in total.
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Re: Did Suzy pay less than a total of \$p dollars for the phone? (1) The pr  [#permalink]

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10 Oct 2018, 16:56
From Statement 1 I understood that
10% is sales tax plus 90% in form of 0.8P
so I did math as below.
90% of total price= 0.8p
total price will be 0.88p

Where did I wrong?
Rice (Jones) School Moderator
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Re: Did Suzy pay less than a total of \$p dollars for the phone? (1) The pr  [#permalink]

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10 Oct 2018, 17:37
GMATinsight It doesn't clear my doubt. The OA is actually A so I was correct.

Thanks for the insight.
Re: Did Suzy pay less than a total of \$p dollars for the phone? (1) The pr   [#permalink] 10 Oct 2018, 17:37
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