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Sherry, Tom, Kim
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16 Apr 2021, 07:20
16 Apr 2021, 07:20
Expert Reply
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Question Stats:
46% (02:07) correct
53% (01:27) wrong based on 13 sessions
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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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Select all that apply
A. Jolene
B. Tom
C. Kim and Jolene
D. Sherry and Jolene
E. Kim
F. None of them
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Sherry, Tom, Kim
[#permalink]
16 Apr 2021, 19:50
16 Apr 2021, 19:50
1
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
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
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16 Apr 2021, 20:33
16 Apr 2021, 20:33
1
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
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?
