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### Discussion :: Partnership

1. 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?

2.  A. 5 : 7 : 8 B. 20 : 49 : 64 C. 38 : 28 : 21 D. None of these

Explanation :

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,$$\frac { 1 4X} { 8Y }$$=$$\frac { 5 } { 7 }$$    98x = 40y        y =$$\frac {49 } {20 }$$x

And,$$\frac { 1 4X} {7Z }$$=$$\frac { 5 } { 8 }$$  112x = 35z        z =$$\frac {112 } {35 }$$x=$$\frac { 16 } { 5 }$$x

x : y : z = x :$$\frac {49 } {20 }$$x:$$\frac { 16 } { 5 }$$x=20 : 49 : 64.

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