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

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keats
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At the beginning of 2011, Company X created a list of n charities, and [#permalink] New post   Updated on: 02 Aug 2016, 04:53
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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
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B

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.
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Re: At the beginning of 2011, Company X created a list of n charities, and [#permalink] New post   02 Aug 2016, 04:53
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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


Please name topics properly. Check rule 3 here: rules-for-posting-please-read-this-before-posting-133935.html Thank you.
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At the beginning of 2011, Company X created a list of n charities, and [#permalink] New post   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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Re: At the beginning of 2011, Company X created a list of n charities, and [#permalink] New post   02 Aug 2016, 05:05
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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] New post   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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Re: At the beginning of 2011, Company X created a list of n charities, and [#permalink] New post   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)

Answer (B).
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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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