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

A.5 : 7 : 8
B.20 : 49 : 64
C.38 : 28 : 21
D.None of these
Answer and Feedback
Answer:B
Feedback:Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively. Then, 14x : 8y : 7z = 5 : 7 : 8.
Now,14x/8y=5/7
=> 98x = 40y
=> y =49/20x.
And,14x/7z=5/8
=> 112x = 35z
=> z = 112/35x = 16/5x
=> x : y : z = x :49/20x:16/5x= 20 : 49 : 64.

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