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Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnership for 14 months, 8 months and 7 months respectively. What was the ration of their investments?

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnership for 14 months, 8 months and 7 months respectively. What was the ration of their investments? Correct Answer 20 : 49 : 64

Hints: let the investment Take was x for 14 months, y for 8 months and z for 7 months 14x : 8y : 7z = 5: 7 : 8 so, 14x/8y = 5/7 y = 49x/20 and 14x/7z = 5/8 z = 16x / 5 x : y : z = x : 49x/20 : 16x /5 = 20 : 49 : 64

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