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manishuol
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Two years ago, Arthur gave each of his five children 20 perc Updated on: 21 May 2013, 00:32
Originally posted by manishuol on 21 May 2013, 00:07.
Last edited by Bunuel on 21 May 2013, 00:32, edited 1 time in total.
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35% (medium)

Question Stats:

77% (02:48) correct 23% (03:15) wrong based on 833 sessions

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Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?

A. 93%
B. 97%
C. 100%
D. 107%
E. 120%
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A
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Bunuel
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Two years ago, Arthur gave each of his five children 20 perc 21 May 2013, 00:39
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manishuol
Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?

A. 93%
B. 97%
C. 100%
D. 107%
E. 120%
Show more

Say Arthur's fortune was $100. Then:

A = 20*1.5*1.1 = 33
B = 20*1.5*1.1 = 33
C = 20*1.5*0.4 = 12
D = 20*0.6*1.25 = 15
E = 0

Total 33 + 33 + 12 + 15 = 93.

Answer: A.
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Two years ago, Arthur gave each of his five children 20 perc 21 May 2013, 01:54
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Same question: is-there-a-faster-way-to-do-this-fdp-90250.html
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Two years ago, Arthur gave each of his five children 20 perc 29 Jan 2014, 16:28
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Bunuel
manishuol
Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?

A. 93%
B. 97%
C. 100%
D. 107%
E. 120%

Say Arthur's fortune was $100. Then:

A = 20*1.5*1.1 = 33
B = 20*1.5*1.1 = 33
C = 20*1.5*0.4 = 12
D = 20*0.6*1.25 = 15
E = 0

Total 33 + 33 + 12 + 15 = 93.

Answer: A.
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I think Bunuel's approach is fast enough. Anyways, one could use 100 as the total and then play with the numbers, its not that hard.

Hope it helps
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J :)
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Two years ago, Arthur gave each of his five children 20 perc 27 Jul 2014, 15:10
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manishuol
Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?

A. 93%
B. 97%
C. 100%
D. 107%
E. 120%
Show more

Reading and solving the problem took me more than 2 minutes. I hate that time-consuming question!!! :evil:
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Two years ago, Arthur gave each of his five children 20 perc 24 Jun 2017, 02:05
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manishuol
Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?

A. 93%
B. 97%
C. 100%
D. 107%
E. 120%
Show more

Simple -x as Artuhur's investment divided by 5 - let x be 2000

2000/5= 400

400(1.5) = 600 (3)

400(.60) = 240 (2)

Second Year


600(1.1) = 660 (2)
600(.40) = 240
240 (1.25) = 300

660(2) + 240 + 300 = 1860/2000

186/200 =93/100

Thus
"A"
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Two years ago, Arthur gave each of his five children 20 perc 24 Jun 2017, 04:14
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Percent fortune received by each of A, B, C, D, E = 20%.

Value of the fortune after the first year:
A - 30
B - 30
C - 30
D - 12
E - 12

Value of the fortune after the second year:
A - 33
B - 33
C - 12
D - 15
E - 0

If we assume the initial fortune to be $100, what's left would be $33 + $33 + $12 + $15 = $93 = 93%. Ans - A.
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Two years ago, Arthur gave each of his five children 20 perc 22 Jul 2018, 09:15
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I took around 3 minutes to solve this question. Though this question is quite easy, but is there any way that I can save some time
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Two years ago, Arthur gave each of his five children 20 perc 18 Aug 2019, 13:05
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Let each get 100 in first year :
Total asset : 500
At end of first year
A : 150 , B: 150, C : 150
D : 60, E : 60

At end of 2nd year
A: 165 , B: 165, C : 60, D : 75 ,E : 0
Total : 165+165+60+75 =465
% lost : 465/500 *100 : 93

IMO :A
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Two years ago, Arthur gave each of his five children 20 perc 17 Feb 2021, 17:30
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manishuol
Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?

A. 93%
B. 97%
C. 100%
D. 107%
E. 120%
Show more
Solution:

We can let Arthur’s total fortune be $100. Thus, each child received $20. Now, let’s determine the amount of money each child has after 2 years.

Alice: 20 x 1.5 x 1.1 = $33

Bob: $33 (since his numbers are identical to those of Alice)

Carol: 20 x 1.5 x 0.4 = $12

Dave: 20 x 0.6 x 1.25 = $15

Errol: $0 (since he lost all of his money)

Therefore, the total they have after 2 years is 33 + 33 + 12 + 15 + 0 = $93, which is 93% of $100.

Answer: A
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Two years ago, Arthur gave each of his five children 20 perc 26 Sep 2024, 03:47
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Another method:

Using successive increase/decrease formula.
Cumulative change of A = 50+10+(50*10)/100 = 65%
B=same as A = 65%
C=50-60-(3000/100)=-40%
D=-40+25-(1000/100)=-25%
E Dont care as lost all money

Cumulative sum of all = x/5 (165+165+60+75) = 465x/5 = 93x
% of total = 93x/x *100 =93
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Two years ago, Arthur gave each of his five children 20 perc 12 Jan 2026, 23:28
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