Q.Arti and Bharti are partners in a firm sharing profits in 3:2 ratio. They admitted Sarthi for 1/4 share in the profits of the firm. Sarthi brings ₹50,000 for his capital and ₹10,000 for his 1/4 share of goodwill. Goodwill already appears in the books of Arti and Bharti at ₹5,000. The new profit sharing ratio between Arti, Bharti and Sarthi will be 2:1:1. Record the necessary journal entries in the books of the new firm? [Hint: Existing goodwill written-off in old profit sharing ratio]
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Start your 14-day free trial to unlock the full solution →Sarthi is admitted for 1/4 share; existing goodwill of ₹5,000 is written off between Arti and Bharti in their old ratio (3:2), and Sarthi’s goodwill premium of ₹10,000 is credited to Arti and Bharti in their sacrificing ratio (1:1). Journal entries are passed for goodwill write-off, capital and premium brought in, and the new capital balances are recorded.
Concept and Accounting Treatment
When a new partner is admitted, two goodwill adjustments are needed. First, any goodwill already appearing in the books (existing goodwill) must be written off because it belongs to the old partners and should not remain as an asset after the new partner joins. This write-off is done in the old profit-sharing ratio (3:2 between Arti and Bharti) — we debit the old partners’ capital accounts and credit the goodwill account.
Second, the new partner brings in their share of goodwill as a premium. This premium is distributed to the old partners in their sacrificing ratio — the ratio in which they have given up their share to the new partner. Here, the old ratio was 3:2 and the new ratio is 2:1:1. We calculate the sacrifice: Arti sacrifices 3/5 − 2/4 = 12/20 − 10/20 = 2/20 = 1/10; Bharti sacrifices 2/5 − 1/4 = 8/20 − 5/20 = 3/20. The sacrificing ratio is 1/10 : 3/20 = 2:3. Wait — let’s check that carefully.
A common mistake is to assume the sacrificing ratio equals the old ratio. Always compute it: Sacrifice = Old share − New share. Here, Arti’s old share = 3/5, new share = 2/4 = 1/2 = 5/10. Convert to common denominator: 3/5 = 6/10, 1/2 = 5/10, so sacrifice = 1/10. Bharti’s old share = 2/5 = 4/10, new share = 1/4 = 2.5/10? No — 1/4 = 2.5/10 is messy. Use denominator 20: Arti old = 12/20, new = 10/20, sacrifice = 2/20 = 1/10. Bharti old = 8/20, new = 5/20, sacrifice = 3/20. So sacrificing ratio = 1/10 : 3/20 = 2:3. The premium of ₹10,000 is shared in this ratio: Arti gets 2/5 × 10,000 = ₹4,000, Bharti gets 3/5 × 10,000 = ₹6,000.
The journal entry for the premium is: debit Bank account (for the amount brought in), credit the old partners’ capital accounts in the sacrificing ratio.
Finally, Sarthi brings in capital of ₹50,000. That is recorded as: debit Bank account, credit Sarthi’s Capital account.
Solution: Journal Entries in the Books of the New Firm
| Date | Particulars | L.F. | Debit (₹) | Credit (₹) |
|---|---|---|---|---|
| 1. For writing off existing goodwill | ||||
| Arti’s Capital A/c Dr. | 3,000 | |||
| Bharti’s Capital A/c Dr. | 2,000 | |||
| To Goodwill A/c | 5,000 | |||
| (Being existing goodwill written off in old ratio 3:2) | ||||
| 2. For Sarthi’s capital and goodwill premium brought in | ||||
| Bank A/c Dr. | 60,000 | |||
| To Sarthi’s Capital A/c | 50,000 | |||
| To Arti’s Capital A/c | 4,000 | |||
| To Bharti’s Capital A/c | 6,000 | |||
| (Being capital of ₹50,000 and goodwill premium of ₹10,000 brought in by Sarthi; premium credited to sacrificing partners in ratio 2:3) |
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