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# A company sells only two kinds of pie: apple pie and cherry pie.

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Current Student
Joined: 07 Jan 2015
Posts: 66
Location: United States
GPA: 3.4
WE: Engineering (Manufacturing)
A company sells only two kinds of pie: apple pie and cherry pie.  [#permalink]

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01 Jul 2017, 10:50
00:00

Difficulty:

25% (medium)

Question Stats:

72% (00:52) correct 28% (00:49) wrong based on 77 sessions

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A company sells only two kinds of pie: apple pie and cherry pie. What fraction of the total pie sold last month were apple pies?

1) The company sold 460 pies last month.
2) The company sold 30% more cherry pies than apple pie last month.

Kudos are welcome
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3386
Location: India
GPA: 3.12
A company sells only two kinds of pie: apple pie and cherry pie.  [#permalink]

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01 Jul 2017, 11:05
1
Let the number of apple pies by A and the number of cheery pies be C

1) The company sold 460 pies last month.
A + C = 460
Not knowing the split of pies sold, we cannot give the fraction of the apple pies.
Hence, insufficient.

2) The company sold 30% more cherry pies than apple pie last month.
C = 1.3A
If A = 10, C = 13
If A = 20, C = 26
If A = 50, C = 65
The fraction of apply pies sold to the total pies is always 10/23(Sufficient) (Option B)
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Intern
Joined: 17 May 2016
Posts: 19
Re: A company sells only two kinds of pie: apple pie and cherry pie.  [#permalink]

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01 Jul 2017, 11:21
Dear pushpitkc
Don't you think that it should be 10/23.

Sent from my HM NOTE 1LTE using Tapatalk
Director
Joined: 04 Dec 2015
Posts: 750
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
A company sells only two kinds of pie: apple pie and cherry pie.  [#permalink]

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01 Jul 2017, 11:38
1
satsurfs wrote:
A company sells only two kinds of pie: apple pie and cherry pie. What fraction of the total pie sold last month were apple pies?

1) The company sold 460 pies last month.
2) The company sold 30% more cherry pies than apple pie last month.

Kudos are welcome

1) The company sold 460 pies last month.

Does not provide any information about number of apple pies sold. Hence I is Not Sufficient.

2) The company sold 30% more cherry pies than apple pie last month.

Let Apple pie be $$= a$$ and Cherry pie be $$= c$$

Cherry pie $$= 130$$% of $$a = \frac{130}{100} *a = 1.3a$$

Applie pie + Cherry pie = Total Pies $$=> a + c$$

Required fraction = Apple pie / Total pie $$= \frac{a}{a + c} = \frac{a}{a + 1.3a} = \frac{a}{2.3a} = \frac{1}{2.3}$$ or $$\frac{10}{23}$$

Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3386
Location: India
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Re: A company sells only two kinds of pie: apple pie and cherry pie.  [#permalink]

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01 Jul 2017, 23:43
enantiodromia wrote:
Dear pushpitkc
Don't you think that it should be 10/23.

Sent from my HM NOTE 1LTE using Tapatalk

Apologies. It must be 10/23 since its asking for a fraction of apple pies/total pies.
Corrected the solution...
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You've got what it takes, but it will take everything you've got
Re: A company sells only two kinds of pie: apple pie and cherry pie.   [#permalink] 01 Jul 2017, 23:43
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