Answer :
Answer:
Explanation:To determine the share of C when admitted as a new partner, we need to follow these steps based on the information provided:
A and B are current partners sharing profits and losses in the ratio of 2:1. This means if the total profit (or loss) is distributed, A receives 2 parts and B receives 1 part.
Now, C is admitted as a new partner for a 1/3 share. This indicates that C will receive 1/3 of the total profit (or loss) after the admission.
Let's calculate C's share step by step:
1. **Total Share After Admission:**
- A and B share in the ratio of 2:1, which totals to 3 parts.
- C is admitted for a 1/3 share.
2. **Calculate C's Share:**
- C's share is \( \frac{1}{3} \) of the total.
- Total parts after admission = 3 (A and B) + 1 (C) = 4 parts.
Therefore, C's share = \( \frac{1}{3} \) of 4 parts = \( \frac{4}{3} \) parts.
3. **Express C's Share in Ratio:**
- A : B : C = 2 : 1 : \( \frac{4}{3} \).
To present C's share in a simplified form:
- A's share = \( \frac{2}{3} \) (since \( \frac{2}{3} \) of \( \frac{4}{3} \) parts)
- B's share = \( \frac{1}{3} \) (since \( \frac{1}{3} \) of \( \frac{4}{3} \) parts)
- C's share = \( \frac{4}{3} \) (directly given as \( \frac{4}{3} \) parts)
Therefore, when C is admitted as a new partner for a 1/3 share, C's share of the total profit or loss in the firm will be \( \boxed{\frac{4}{3}} \).