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 the
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 the
Solution
The ratio of their investments can be calculated by dividing each partner's share of the profit by the number of months they were involved in the business.
For the first partner, the ratio is 4 (their share of the profit) divided by 12 (the number of months they were involved), which equals 1/3.
For the second partner, the ratio is 5 (their share of the profit) divided by 10 (the number of months they were involved), which equals 1/2.
For the third partner, the ratio is 7 (their share of the profit) divided by 8 (the number of months they were involved), which equals 7/8.
To compare these ratios, we need to find a common denominator. The least common denominator for 3, 2, and 8 is 24.
So, we multiply each ratio by 24 to get the ratio of their investments:
First partner: (1/3) * 24 = 8 Second partner: (1/2) * 24 = 12 Third partner: (7/8) * 24 = 21
So, the ratio of their investments is 8:12:21.
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