CBSE 2025, Set 3

Question

N, S and M were partners in a firm sharing profits in the ratio of 4 : 3 : 2. They admitted C as a new partner for 1/5th share in the profits of the firm. C acquired his share from N and S in the ratio of 1 : 2. The new profit sharing ratio of N, S, M and C will be: A). 5 : 17 : 10 : 8 B). 17 : 9 : 10 : 9 C). 17 : 5 : 8 : 10 D). 17 : 10 : 5 : 8

Edvaya · Accepted Answer

The correct answer is 17 : 9 : 10 : 9. **Calculation of New Profit Sharing Ratio:** Old Ratio of N, S, and M = 4 : 3 : 2 Old share of N = 4/9 Old share of S = 3/9 Old share of M = 2/9 C is admitted for a 1/5th share. C acquires his share from N and S in the ratio of 1 : 2. N's sacrifice = 1/3 of 1/5 = 1/15 S's sacrifice = 2/3 of 1/5 = 2/15 Calculating the new shares: New share of N = 4/9 - 1/15 = (20 - 3) / 45 = 17/45 New share of S = 3/9 - 2/15 = (15 - 6) / 45 = 9/45 New share of M = 2/9 = 10/45 (unchanged, scaled to denominator 45) New share of C = 1/5 = 9/45 (scaled to denominator 45) The mathematically correct new profit sharing ratio is **17 : 9 : 10 : 9**. *Note: The options provided in the original examination contain a typographical error.*

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Accountancy > Accounting For Partnership Firms > Admission Of A Partner

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