Three partners shared the profit in a business in the ratio 5:7: They had partnership 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 18:28:56

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.

After equating the profits, we left with,

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

=> x=5/14 , y=7/8, z=8/7.

take l.c.m of 14,8,7. we get 56.

x = 5/14*56 = 20.

y = 7/8*56 = 49.

z = 8/7*56 = 64.

So, investments x:y:z = 20:49:64.