L and M are partners sharing profits in the ratio 3:2. N is admitted as a partner for 1/5th of the share which is acquired from L. Goodwill of the firm is valued at Rs. 40,000 on N's admission. N will have to pay for Goodwill:
L and M are partners sharing profits in the ratio 3:2. N is admitted as a partner for 1/5th of the share which is acquired from L. Goodwill of the firm is valued at Rs. 40,000 on N's admission. N will have to pay for Goodwill:
Solution
Initial Profit Sharing Ratio:
L and M share profits in the ratio 3:2
This means:
- L's share =
- M's share =
N's Admission:
N is admitted for th share, which is acquired entirely from L (not from both partners).
New Profit Sharing Ratio:
- L's new share =
- M's share = (remains unchanged as M doesn't sacrifice)
- N's share =
Sacrificing Ratio:
Since N acquires the entire share only from L:
- L's sacrifice =
- M's sacrifice = 0 (M doesn't sacrifice any share)
Goodwill Payment:
Goodwill of the firm = Rs. 40,000
N's share in goodwill = N's share × Total Goodwill
N's share in goodwill = = Rs. 8,000
Since N acquired the entire th share from L alone, N will pay Rs. 8,000 to L only.
Correct Option: 2 (Rs. 8,000 to L)
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