Partnership - Arithmetic Aptitude Questions and Answers

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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?

5 : 7 : 8

20 : 49 : 64

38 : 28 : 21

None of these

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Answer : Option B

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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