Three partners invested in a business in the ratio 4 : 3 : 1. They invested their capitals for9 months, 2 months and 11 months, respectively. What was the ratio of their profits?

Correct option is B

Given:

The ratio of their investments = 4 : 3 : 1

The time periods for which they invested = 9 months, 2 months, and 11 months, respectively

Formula Used:

Profit ∝ Investment × Time

Solution:

Let the capitals invested by the three partners be 4x, 3x, and x respectively

The time periods are 9 months, 2 months, and 11 months for the three partners.

The profit for each partner is proportional to the product of capital and time:

For the first partner: 4x × 9 = 36x

For the second partner: 3x × 2 = 6x

For the third partner: x × 11 = 11x

The ratio of their profits is:

36x : 6x : 11x

36 : 6 : 11

Thus, the ratio of their profits is 36 : 6 : 11