A and B are partners in a firm sharing profits in the ratio of 3 : 2. They admit X as a partner for $$\frac{1}{3}$$ share in profits of the firm. The new profit sharing ratio of A, B and X is

The correct answer is $\boxed{\text{D}}$.

Let’s say the total profit of the firm is $100.

Before X is admitted, A and B share the profit in the ratio of 3 : 2. So, A gets $30 and B gets $20.

When X is admitted, he gets a share of $\frac{1}{3}$ of the total profit. So, X gets $33.33.

The new profit sharing ratio of A, B and X is 30 : 20 : 33.33 = 6 : 4 : 5.