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# At the beginning of 2011, Company X created a list of n charities, and

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Current Student
Joined: 28 Nov 2014
Posts: 818
Concentration: Strategy
Schools: Fisher '19 (M\$)
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At the beginning of 2011, Company X created a list of n charities, and  [#permalink]

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Updated on: 02 Aug 2016, 04:53
2
00:00

Difficulty:

55% (hard)

Question Stats:

71% (02:39) correct 29% (02:45) wrong based on 58 sessions

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At the beginning of 2011, Company X created a list of n charities, and committed to donating 10% of its pro ts for the year to these charities, donating an equal amount to each charity. However, during the year, Company X removed a charities from this list, and donated 10% of its pro t in equal amounts to each of the remaining charities on the list. If the Wesley Homeless Shelter wasone of the charities on the list which received a donation from Company X, which of the following represents, in terms of n and a, the percent increase in the amount the Wesley Homeless Shelter received because the a charities were removed from the list?

A) 100n/a
B) 100a/(n-a)
C) 100(n-a)/n
D) 100n/(n-a)
E) 100(n-a)/a

Originally posted by keats on 02 Aug 2016, 04:43.
Last edited by Bunuel on 02 Aug 2016, 04:53, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 58335
Re: At the beginning of 2011, Company X created a list of n charities, and  [#permalink]

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02 Aug 2016, 04:53
Keats wrote:
At the beginning of 2011, Company X created a list of n charities, and committed to donating 10% of its pro ts for the year to these charities, donating an equal amount to each charity. However, during the year, Company X removed a charities from this list, and donated 10% of its pro t in equal amounts to each of the remaining charities on the list. If the Wesley Homeless Shelter wasone of the charities on the list which received a donation from Company X, which of the following represents, in terms of n and a, the percent increase in the amount the Wesley Homeless Shelter received because the a charities were removed from the list?

A) 100n/a
B) 100a/(n-a)
C) 100(n-a)/n
D) 100n/(n-a)
E) 100(n-a)/a

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Current Student
Joined: 28 Nov 2014
Posts: 818
Concentration: Strategy
Schools: Fisher '19 (M\$)
GPA: 3.71
At the beginning of 2011, Company X created a list of n charities, and  [#permalink]

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02 Aug 2016, 05:01
Oops Bunuel Looks like you have corrected it already.Will keep in mind for the next time.

Thanks!
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Joined: 02 Sep 2009
Posts: 58335
Re: At the beginning of 2011, Company X created a list of n charities, and  [#permalink]

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02 Aug 2016, 05:05
Keats wrote:
Oops Bunuel Looks like you have corrected it already.Will keep in mind for the next time.

Thanks!

You named the topic: "PS-At the beginning of 2011, Company X created" whereas it should have been "At the beginning of 2011, Company X created a list of n charities, and", without PS (first sentences of the question). This way our search & similar topics feature will identify similar question properly.
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Re: At the beginning of 2011, Company X created a list of n charities, and  [#permalink]

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02 Aug 2016, 06:22
Sol:

Let profit be "P"

for n charities - each get p/n
when a charities are removed - each get p/(n-a)

increase will be (p/(n-a)) - (p/n) = pa/(n-a)*n

Increase % will be (pa/(n-a)*n) / (p/n) multiplied by 100.

result will be 100a/(n-a)
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Posts: 559
Location: United States
Re: At the beginning of 2011, Company X created a list of n charities, and  [#permalink]

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12 Aug 2019, 09:04
keats wrote:
At the beginning of 2011, Company X created a list of n charities, and committed to donating 10% of its pro ts for the year to these charities, donating an equal amount to each charity. However, during the year, Company X removed a charities from this list, and donated 10% of its pro t in equal amounts to each of the remaining charities on the list. If the Wesley Homeless Shelter wasone of the charities on the list which received a donation from Company X, which of the following represents, in terms of n and a, the percent increase in the amount the Wesley Homeless Shelter received because the a charities were removed from the list?

A) 100n/a
B) 100a/(n-a)
C) 100(n-a)/n
D) 100n/(n-a)
E) 100(n-a)/a

%increase:
after-before/after•100
[(p/n-a)-(p/n)]/p/n•100
[(p/n-a)-(p/n)]•n/p•100
[(p/n-a)(n/p)-1]•100
[(n/n-a)-1]•100
[(n-(n-a))/(n-a)]•100
[a/(n-a)]•100
100a/(n-a)

Re: At the beginning of 2011, Company X created a list of n charities, and   [#permalink] 12 Aug 2019, 09:04
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