Answer:
A. 93%
Step-by-step explanation:
Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit.
So each children started with 0.2A, in which A is Arthur's fortune.
Alice
In the first year, she earned a profit of 50 percent. In the second year, she earned a profit of 10%. So her part is
0.2A*(1+0.5)*(1 + 0.1) = 0.33A
Bob
In the first year he earned a profit of 50 percent. In the second year, he earned a profit of 10%. So his part is
0.2A*(1+0.5)*(1 + 0.1) = 0.33A
Carol
In the first year, she earned a profit of 50 percent. In the second year, she lost 60 percent. So
0.2A*(1+0.5)*(1-0.6) = 0.12A
Dave
In the first year, he lost 40 percent. In the second, he earned a profit of 25%. So
0.2A*(1-0.4)*(1 + 0.25) = 0.15A
Errol
Lost all the money he had. So he has 0A.
What percentage of Arthur's fortune currently remains?
This is the sum of the results of all five of his children.
0.33A + 0.33A + 0.12A + 0.15A = 0.93A
So the correct answer is:
A. 93%
