Homer, Shiv and Bern started a business. If the investment of Bern is 25% more than that of Shiv and the investment of Homer is 25% less than that of Shiv and at the end of the business, Homer’s profit is half of the profit share of Bern and the profit share of Shiv is 6(2/3)% more than the profit share of Homer. Find the ratio of the investment time period of Homer, Shiv and Bern?
A. 3:4:9
B. 3:2:5
C. 4:3:5
D. 5:4:6
E. None of these
Sol:
Investment of Homer = 3x
Investment of Shiv = 100/75 * 3x = 4x
Investment of Bern = 125/100 * 4x = 5x
Let Profit share of Homer = 30y
Profit share of Bern = 2/1 * 30y = 60y
Profit share of Shiv = 30y * (320/300) = 32y
Required ratio = 30y/3x:32y/4x:60y/5x
= 10:8:12
= 5:4:6
