A.  5 : 7 : 8

B.  20 : 49 : 64

C.  38 : 28 : 21

D.  49 : 20 : 64

1
Correct Answer :
20 : 49 : 64
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, 14x/8y = 5/7 <=> 98x = 40y <=> y = (49/20) x

and 14x/7z = 5/8 <=> 112x = 35z <=> z = (112/35) x = (16/5) x

=> x : y : z = x : (49/20) x : (16/5) x = 20 : 49 : 64


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