Three partners invested in a business in the ratio 2:7:8. They invested their capitals for 4 months, 1 months and 10 months,respectively. What was the ratio of their profits?

Correct option is A

Given:

The ratio of the capital investments of the three partners =  2 : 7 : 8

The duration of their investments:

First partner: 4 months

Second partner: 1 month

Third partner: 10 months

Formula Used:

Profit share of partner = Capital × Time

Solution:

For the first partner:

Profit share1 = 2 × 4 = 8

For the second partner:

Profit share2 = 7 × 1 = 7

For the third partner:

Profit share3 = 8 × 10 = 80

The ratio of their profits is:

Profit ratio = 8 : 7: 80

Thus, the ratio of their profits is 8 : 7 : 80.