The partners shared the profit in a business in the ratio 8 : 7 : 5. They invested their capital for 7 months, 8 months, and 14 months, respectively. What was the ratio of their capitals?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 64 : 49 : 29.
Profit = Investment × time
Now, according to the question
Let the investment and period be 7a : 8b : 14c
7a/8b = 8/7
⇒ 49a = 64b
⇒ b = 49a/64
7a/14c = 8/5
⇒ 35a = 112c
⇒ c = 35a/112
⇒ c = 5a/16
a : b : c = a : 49a/64 : 5a/16 [Multiply by 64]
a : b : c = 64 : 49 : 20
Hence,
The investment ratio is 64 : 49 : 20