Three partners shared the profit in a business in the ratio 4:5:7.They had partnered for 12 months, 10 months and 8 months repectively.What was the ratio of their investments?8:12:2121:8:124:9:18None of these
Question
Three partners shared the profit in a business in the ratio 4:5:7.They had partnered for 12 months, 10 months and 8 months repectively.What was the ratio of their investments?8:12:2121:8:124:9:18None of these
Solution
The ratio of their investments can be calculated using the formula:
Investment = Profit share ratio / Time
For the first partner, the investment ratio is 4/12 = 1/3 For the second partner, the investment ratio is 5/10 = 1/2 For the third partner, the investment ratio is 7/8 = 0.875
However, to compare these ratios, we need to convert them to the same denominator. The least common multiple of 3, 2, and 8 is 24. So, we multiply each ratio by 24 to get:
First partner: (1/3)*24 = 8 Second partner: (1/2)24 = 12 Third partner: 0.87524 = 21
So, the ratio of their investments is 8:12:21.
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