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Q.Raman, Daman and Vikram were partners in a firm sharing profits and losses in the ratio of 5 : 4 : 1. On 31st March, 2025, their capitals were ₹ 6,00,000; ₹ 3,00,000 and ₹ 2,00,000 respectively. With effect from 1st April, 2025, they decided to share the future profits equally. Due to change in profit sharing ratio, it was agreed that :

(i) Goodwill of the firm will be valued at ₹ 3,00,000.
(ii) Revaluation of assets and liabilities will be carried out. The revaluation of assets and liabilities resulted in a loss of ₹ 12,000.
(iii) Total capital of the reconstituted firm will be ₹ 12,00,000 and will be in the new profit sharing ratio of the partners. For this purpose, necessary cash will be brought in by the partners or paid off to the partners, as the case may be. Prepare Partners' Capital Accounts on the reconstitution of the firm.
CBSECBSE Class XII Board 2026Subjective· 4mImportance★★★★★
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After the revaluation loss (₹12,000 in 5:4:1), the goodwill adjustment (Vikram debited ₹70,000; Raman credited ₹50,000, Daman ₹20,000) and the capital adjustment to ₹4,00,000 each, Raman is paid off ₹2,44,000, Daman brings in ₹84,800 and Vikram brings in ₹2,71,200; final capitals are ₹4,00,000 each.

Concept and Treatment

When partners change their profit-sharing ratio, no partner should gain or lose merely from the change, so a gaining partner compensates a sacrificing partner for goodwill. Old ratio 5:4:1; new ratio equal (1:1:1). Adjustments:

  1. Goodwill — gaining partner (Vikram) compensates sacrificing partners (Raman, Daman).
  2. Revaluation loss ₹12,000 shared in the old ratio 5:4:1.
  3. Capital adjustment — total capital fixed at ₹12,00,000 in the new equal ratio, so each partner's capital must be ₹4,00,000; the shortfall/excess is brought in or paid off in cash.

Working Notes

WN 1 — Sacrifice/Gain (Old − New)

  • Raman: 5/10 − 1/3 = 15/30 − 10/30 = 5/30 (sacrifice)
  • Daman: 4/10 − 1/3 = 12/30 − 10/30 = 2/30 (sacrifice)
  • Vikram: 1/10 − 1/3 = 3/30 − 10/30 = −7/30 (gain)

WN 2 — Goodwill (₹3,00,000)

  • Vikram (gain 7/30) debited = 3,00,000 × 7/30 = ₹70,000
  • Raman (sacrifice 5/30) credited = 3,00,000 × 5/30 = ₹50,000
  • Daman (sacrifice 2/30) credited = 3,00,000 × 2/30 = ₹20,000

WN 3 — Revaluation loss ₹12,000 in 5:4:1

  • Raman 6,000; Daman 4,800; Vikram 1,200.

WN 4 — Capital adjustment

Required capital = 12,00,000 ÷ 3 = ₹4,00,000 each.

PartnerOpeningLess: Rev. lossGoodwillAdjustedRequiredCash brought in (+) / paid off (−)
Raman6,00,000(6,000)+50,0006,44,0004,00,000−2,44,000
Daman3,00,000(4,800)+20,0003,15,2004,00,000+84,800
Vikram2,00,000(1,200)(70,000)1,28,8004,00,000+2,71,200

Partners' Capital Accounts

| Particulars | Raman | Daman | Vikram | Particulars | Raman | Daman | Vikram | …

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