Explanation:

- A and B originally share profits in a 3:2 ratio.

- Total shares = 3 + 2 = 5 parts.

- They admit C as a partner with a 1/3 share in future profits.

- C’s future share: 1/3 of the total profit.

- Remaining share for A and B after C joins: 1 - 1/3 = 2/3.

- A’s new share: (3/5) * (2/3) = 6/15.

- B’s new share: (2/5) * (2/3) = 4/15.

- C’s share: 1/3 = 5/15.

- New profit-sharing ratio: A = 6/15, B = 4/15, C = 5/15 or simplified as 6 : 4 : 5.

The new profit-sharing ratio is 6 : 4 : 5.

This does not match any options given.

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