Skip to content
Question

Q.Aamir, Bashir and Chirag were partners in a firm sharing profits and losses in the ratio of 3 : 3 : 2. Chirag retired. Aamir and Bashir decided to share profits and losses in future in the ratio of 1 : 2. On the day of Chirag's retirement, goodwill of the firm was valued at ₹5,40,000. Calculate gaining ratio and pass necessary journal entry to record the treatment of goodwill (without opening goodwill account) on Chirag's retirement.

CBSECBSE Class XII Board 2024Subjective· 3mImportance★★★★★
🔒 Locked · start free trial →

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

Start your 14-day free trial to unlock the full solution →

The gaining ratio of Bashir is 7/247/24, while Aamir is a sacrificing partner with a share of 1/241/24. The journal entry for goodwill adjustment debits Bashir's Capital Account by ₹1,57,500, crediting Aamir's Capital Account by ₹22,500 and Chirag's Capital Account by ₹1,35,000.

When a partner retires from a firm, the continuing partners take over the retiring partner's share of future profits. This change in profit-sharing ratio often means that some continuing partners gain a larger share, while others might even sacrifice a portion of their existing share. The firm's goodwill, which represents its established reputation and earning capacity, was built by all partners, including the one who is retiring. Therefore, the retiring partner is entitled to their share of this goodwill.

The question specifies that the goodwill account is not to be opened. This means we do not create a Goodwill Asset account in the firm's books. Instead, the adjustment for goodwill is made directly through the partners' capital accounts. The core principle here is that partners whose profit share increases (gaining partners) must compensate partners whose profit share decreases (sacrificing partners, including the retiring partner) for their respective shares of the firm's goodwill.

The accounting treatment involves:

  1. Identifying Gaining and Sacrificing Partners: This is done by comparing each partner's new profit share with their old profit share. A positive difference indicates a gain, while a negative difference indicates a sacrifice.
  2. Calculating Each Partner's Share of Goodwill: Each partner's gain or sacrifice is multiplied by the total firm's goodwill to determine the amount of goodwill adjustment for that partner.
  3. Passing the Journal Entry:
    • The capital accounts of gaining partners are debited with their respective shares of goodwill. This reduces their capital, reflecting the compensation they are providing.
    • The capital accounts of sacrificing partners (including the retiring partner) are credited with their respective shares of goodwill. This increases their capital, acknowledging their contribution to the firm's reputation that they are now giving up.

This method ensures that the financial impact of goodwill is recorded without showing goodwill as an asset in the balance sheet, aligning with conservative accounting practices.

Solution:

Journal Entry

DateParticularsL.F.Debit (₹)Credit (₹)
Bashir's Capital A/c1,57,500
To Aamir's Capital A/c22,500
To Chirag's Capital A/c1,35,000
(Being adjustment for goodwill on Chirag's retirement)
TOTAL1,57,5001,57,500

Working Notes:

WN 1: Calculation of Old Profit Sharing Ratio

The old profit sharing ratio of Aamir, Bashir, and Chirag is 3 : 3 : 2.

Total shares = 3+3+2=83 + 3 + 2 = 8

Aamir's Old Share = 3/83/8

Bashir's Old Share = 3/83/8

Chirag's Old Share = 2/82/8

WN 2: Calculation of New Profit Sharing Ratio

After Chirag's retirement, Aamir and Bashir decided to share profits in the ratio of 1 : 2.

Total shares = 1+2=31 + 2 = 3

Aamir's New Share = 1/31/3

Bashir's New Share = 2/32/3

WN 3: Calculation of Gaining/Sacrificing Share

Gaining/Sacrificing Share = New Share - Old Share

For Aamir:

Gaining Share = 1/3−3/81/3 - 3/8

To find a common denominator, we use 24.

Gaining Share = (1×8)/(3×8)−(3×3)/(8×3)(1 \times 8)/(3 \times 8) - (3 \times 3)/(8 \times 3)

Gaining Share = 8/24−9/24=−1/248/24 - 9/24 = -1/24

Since the result is negative, Aamir is a sacrificing partner, sacrificing 1/241/24 of the profits.

For Bashir:

Gaining Share = 2/3−3/82/3 - 3/8

Using the common denominator 24.

Gaining Share = (2×8)/(3×8)−(3×3)/(8×3)(2 \times 8)/(3 \times 8) - (3 \times 3)/(8 \times 3)

Gaining Share = 16/24−9/24=7/2416/24 - 9/24 = 7/24

Bashir is a gaining partner, gaining 7/247/24 of the profits.

For Chirag (Retiring Partner):

Chirag's Old Share = 2/82/8

Chirag's New Share = 00 (as he has retired)

Chirag's Sacrifice = 2/8−0=2/8=6/242/8 - 0 = 2/8 = 6/24

Chirag is a sacrificing partner, sacrificing his entire share of 6/246/24. …

Unlock everything free for 14 days

  • Full step-by-step solutions
  • Concept-first explanations
  • Methods, shortcuts & mistakes
  • PYQ mapping + timed mock tests

Full access for 14 days. No credit card required.