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

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Joined: 07 Jan 2015
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A company sells only two kinds of pie: apple pie and cherry pie.  [#permalink]

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New post 01 Jul 2017, 10:50
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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.

:arrow: Kudos are welcome :)
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A company sells only two kinds of pie: apple pie and cherry pie.  [#permalink]

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New post 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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Re: A company sells only two kinds of pie: apple pie and cherry pie.  [#permalink]

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

Thanks for all your efforts.

Sent from my HM NOTE 1LTE using Tapatalk
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A company sells only two kinds of pie: apple pie and cherry pie.  [#permalink]

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New post 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.

:arrow: 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 \(\frac{10}{23}\)

Answer (B)...
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Re: A company sells only two kinds of pie: apple pie and cherry pie.  [#permalink]

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

Thanks for all your efforts.

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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Re: A company sells only two kinds of pie: apple pie and cherry pie.   [#permalink] 01 Jul 2017, 23:43
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A company sells only two kinds of pie: apple pie and cherry pie.

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