Correct Answer - Option 2 : 64 : 49 : 20
Given:
Profit ratio of three partners = 8 : 7 : 5
Period of investment of 1st partner = 7 months
Period of investment of 2nd partner = 8 months
Period of investment of 3rd partner = 14 months
Concept used:
Person’s Profit = Investment × time period
Calculation:
Let the investment and time period be 7x : 8y : 14z
7x/8y = 8/7
⇒ 49x = 64y
⇒ y = 49x/64
7x/14z = 8/5
⇒ 35x = 112z
⇒ z = 35x/112
⇒ z = 5x/16
x : y : z = x : 49x/64 : 5x/16
⇒ Multiply by 64
x : y : z = 64 : 49 : 20
∴ The investment ratio is 64 : 49 : 20