2. (NPS in different cases) A and B are partners in a firm sharing profits and losses in the ratio of 3: 2. C joins the firm for a quarter share in the future profits. Ascertain the future profit sharing ratio of partners in each of the following cases : (a) If he acquires his share of profits from the original partners in their profit sharing ratio. (6) If he acquires his share of profits from the original partners equally. (c) If he acquires his share of profits from the original partners in the ratio of 2:3. [Ans.(a) 9: 6:5 (6) 19:11:10 (c) 10:5:5).
Answers
Answer:
(i) R's old share= 3/5
T's old share= 2/5
R's sacrifice= 3/5 * 1/4
= 3/20
T's sacrifice= 2/5 * 1/5
= 2/25
New Profit Sharing ratio of the partners:
R= 3/5-3/20
= 9/20
T= 2/5-2/25
= 8/25
S= 3/20 + 2/25
= 23/100
Therefore,
Profit sharing ratio= 45:32:23
(ii) A's old share= 1/2
B's old share= 1/2
C is admitted for 1/4th share
Remaining share= 1-[1/4]
= 3/4
New Ratio between A and B should be 2:1
Hence, A's new share= 2/3 * 3/4
= 6/12
B's new share= 1/3 * 3/4
= 3/12
New Profit sharing ratio= 6:3:3
= 2:1:1
(iii) A's old share= 3/5
B's old share= 2/5
C is admitted for 1/5th share in the profit.
A's sacrifice= 1/5 * 1/5
= 1/25
B's sacrifice= 1/5 * 4/5
= 4/25
Answer:
Old ratio (A and B) = 3 : 2
C is admitted for 1/5 th share
A's sacrifice in favour of C = (1/5) * (1/2) = (1/10)
B's sacrifice in favour of C = (1/5) * (1/2) = (1/10)
New ratio = Old ratio - Sacrificing ratio
A's new ratio = (3/5) - (1/10) = 5/10 or 1/5
B's new share = (2/5) - (1/10) = 3/10
C's share = A's sacrifice + B's sacrifice
= (1/10) + (1/10)
= 2/10
Therefore, new profit sharing ratio of A, B and C is 5 : 3 : 2
Explanation:
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