Three partners shared the profit in a business in the ratio 5 : 7 : 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

Correct Answer: Option B

Let their investments be Tk. x for 14 months, Tk. y for 8 months and Tk. z for 7 months respectively.

Then, 14x : 8y : 7z = 5 : 7 : 8.

Now, 14x/8y = 5/7

or, 98x = 40y

or, y = (49/20)x

And, 14x/7z = 5/7

Or, 112x = 35z

Or, z = (112/35)x =(16/5)x.

Therefore, x : y : z = x : (49/20) x : (16/5) x

= 20 : 49 : 64.