A and B are partners sharing profits in the ratio of 4:1. A surrenders ¼ th of his share and B surrenders ⅓ of his share in favour of C, a new partner. C’s share of goodwill is valued at ₹1,40,000 and C brings half of his share of goodwill in Cash. What will be A’s share of goodwill ?
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"70000"
Explanation:
1. Calculation of new ratio and sacrificing ratio
A's old share = 4/5; A surrendered in favour of C = 4/5 x 1/4 = 4/20
A's new share = 4/5- 4/20 = 12/20
B's old share = 1/5; B surrendered in favour of C = 1/5 x 1/3 = 1/15
B's new share = 1/5 - 1/15 = 2/15
C's share = 4/20 + 2/15 = 12+8/60 = 20/60
New ratio = 4/20 : 2/15 : 20/60 = 3 : 2 : 5.
Sacrificing ratio =
A = 4/5 - 3/10 = 5/10
B = 1/5 - 2/10 = 0
C = 0 - 5/10 = -5/10
2. Calculation of A's share of goodwill:
C's share of goodwill = 140000
A = 140000 x 5/10 = 70000
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