CUET UG 2025 — Accountancy Partnership

Initial Profit Sharing Ratio:

L and M share profits in the ratio 3:2

This means:

• L's share = $\frac{3}{5}$53​
• M's share = $\frac{2}{5}$52​

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N's Admission:

N is admitted for $\frac{1}{5}$51​th share, which is acquired entirely from L (not from both partners).

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New Profit Sharing Ratio:

• L's new share = $\frac{3}{5} - \frac{1}{5} = \frac{2}{5}$53​−51​=52​
• M's share = $\frac{2}{5}$52​ (remains unchanged as M doesn't sacrifice)
• N's share = $\frac{1}{5}$51​

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Sacrificing Ratio:

Since N acquires the entire share only from L:

• L's sacrifice = $\frac{1}{5}$51​
• M's sacrifice = 0 (M doesn't sacrifice any share)

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Goodwill Payment:

Goodwill of the firm = Rs. 40,000

N's share in goodwill = N's share × Total Goodwill

N's share in goodwill = $\frac{1}{5} \times 40,000$51​×40,000 = Rs. 8,000

Since N acquired the entire $\frac{1}{5}$51​th share from L alone, N will pay Rs. 8,000 to L only.

Correct Option: 2 (Rs. 8,000 to L)