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Sherry, Tom, Kim

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Sherry, Tom, Kim [#permalink] New post   16 Apr 2021, 07:20
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Sherry, Tom, Kim, and Jolene invested $250,$100,$150,$ and $200 respectively to start a business. At the end of two months, they all shared half of the total profit in proportion with their contribution. If they earned a total amount of $1400 after two months, which partner(s) got less than a seventh of the total profit ?

Select all that apply

A. Jolene

B. Tom

C. Kim and Jolene

D. Sherry and Jolene

E. Kim

F. None of them


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Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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B,E
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Sherry, Tom, Kim [#permalink] New post   16 Apr 2021, 19:50
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Sherry : Tom : Kim : Jolene = 250 : 100 : 150 : 200

Their share is in proportion of = \(5 : 2 : 3 : 4\)

Total money invested = 250 + 100 + 150 + 200 = 700
Total earning = 1400

\(Profit = 700\)

At the end of two months, they all shared half of the total profit in proportion with their contribution.
So they share 350 in the proportion of \(5 : 2 : 3 : 4\)

Sherry - \(\frac{5}{14}\) * 350 = 125
Tom - \(\frac{2}{14}\) * 350 = 50
Kim - \(\frac{3}{14}\) * 350 = 75
Jolene - \(\frac{4}{14}\) * 350 = 100

Notice, what we are asked to find : which partner(s) got less than a seventh of the total profit ? So we need people who earned less than \(100\)

Tom & Kim

Answer B E
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Sherry, Tom, Kim [#permalink] New post   16 Apr 2021, 20:33
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rx10 wrote:
Sherry : Tom : Kim : Jolene = 250 : 100 : 150 : 200

Their share is in proportion of = \(5 : 2 : 3 : 4\)

Total money invested = 250 + 100 + 150 + 200 = 700
Total earning = 1400

\(Profit = 700\)

At the end of two months, they all shared half of the total profit in proportion with their contribution.
So they share 350 in the proportion of \(5 : 2 : 3 : 4\)

Sherry - \(\frac{5}{13}\) * 350 = 134.61
Tom - \(\frac{2}{13}\) * 350 = 53.84
Kim - \(\frac{3}{13}\) * 350 = 80.76
Jolene - \(\frac{4}{13}\) * 350 = 107.69

Notice, what we are asked to find : which partner(s) got less than a seventh of the total profit ? So we need people who earned less than \(100\)

Tom & Kim

Answer B E


Don't you think it will be \(14\) instead of \(13\) in the denominator?
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Re: Sherry, Tom, Kim [#permalink] New post   16 Apr 2021, 20:39
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Yes sir.

My bad. Rectified the mistake.

Thank you.
KarunMendiratta wrote:
rx10 wrote:
Sherry : Tom : Kim : Jolene = 250 : 100 : 150 : 200

Their share is in proportion of = \(5 : 2 : 3 : 4\)

Total money invested = 250 + 100 + 150 + 200 = 700
Total earning = 1400

\(Profit = 700\)

At the end of two months, they all shared half of the total profit in proportion with their contribution.
So they share 350 in the proportion of \(5 : 2 : 3 : 4\)

Sherry - \(\frac{5}{13}\) * 350 = 134.61
Tom - \(\frac{2}{13}\) * 350 = 53.84
Kim - \(\frac{3}{13}\) * 350 = 80.76
Jolene - \(\frac{4}{13}\) * 350 = 107.69

Notice, what we are asked to find : which partner(s) got less than a seventh of the total profit ? So we need people who earned less than \(100\)

Tom & Kim

Answer B E


Don't you think it will be \(14\) instead of \(13\) in the denominator?


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Re: Sherry, Tom, Kim [#permalink]
16 Apr 2021, 20:39
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