Hidden Goodwill

When a new partner is admitted, the value of goodwill is sometimes not explicitly stated. In that case, you must infer it from the arrangement of capital and the profit-sharing ratio. This inferred value is called hidden goodwill.

The logic is straightforward. The new partner brings in a certain amount of capital for a given share of profits. If the total capital of the firm (old partners' capital + new partner's capital) is less than what the new partner's capital implies the total should be, the difference is goodwill.

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How to Calculate Hidden Goodwill

Take the example from the textbook. A and B are equal partners with capitals of ₹45,000 each. They admit C for a 1/3 share. C brings ₹60,000 as capital.

1. Find the implied total capital of the new firm.

   C’s capital of ₹60,000 represents his 1/3 share. Therefore, the total capital of the new firm should be:

   ₹60,000 × 3 = ₹1,80,000.

2. Find the actual total capital.

   A’s capital (₹45,000) + B’s capital (₹45,000) + C’s capital (₹60,000) = ₹1,50,000.

3. The difference is the firm's total goodwill.

   ₹1,80,000 – ₹1,50,000 = ₹30,000.

4. Find the new partner’s share of this goodwill.

   C’s share = ₹30,000 × 1/3 = ₹10,000.

This ₹30,000 is the total goodwill of the firm. It belongs to the old partners (A and B) and must be credited to them in their old profit-sharing ratio (which is 1:1 here). So, A and B each get ₹15,000 credited to their capital accounts.

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Accounting Treatment When the New Partner Does NOT Bring in Cash for Goodwill

This is the most common exam scenario. Since the new partner does not pay cash for his share, we cannot use a "Premium for Goodwill Account." Instead, we adjust the partners' capital accounts directly.

The journal entry is:

Why is the New Partner’s Current Account debited?

Because the new partner owes this amount to the old partners. He is getting a share of future profits that were built by the old partners' past efforts. Since he hasn't paid cash, his current account (a personal account representing his dues to the firm) is debited. This reduces his claim on the firm's assets.

Why are the Old Partners’ Capital Accounts credited?

Because they are the ones sacrificing a portion of their future profits. This credit compensates them for that sacrifice.

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Worked Illustration (from the textbook)

Problem: Hem and Nem are partners sharing profits 3:2. Capitals: Hem ₹80,000, Nem ₹50,000. They admit Sam for 1/5 share. Sam brings ₹60,000 as capital. Calculate goodwill and pass journal entries for two cases: (a) Sam brings his share of goodwill in cash, and (b) Sam does not bring his share of goodwill.

Step 1: Calculate the firm's total goodwill.

• Sam’s capital = ₹60,000
• Sam’s share = 1/5
• Implied total capital of new firm = ₹60,000 × 5 = ₹3,00,000
• Actual total capital = ₹80,000 + ₹50,000 + ₹60,000 = ₹1,90,000
• Total Goodwill of Firm = ₹3,00,000 – ₹1,90,000 = ₹1,10,000
• Sam’s Share of Goodwill = ₹1,10,000 × 1/5 = ₹22,000

Step 2: Determine the sacrificing ratio.

Since the problem does not mention any change in the old partners' ratio, the sacrificing ratio is the same as the old ratio: 3:2 (Hem : Nem).

• Hem’s sacrifice = ₹22,000 × 3/5 = ₹13,200
• Nem’s sacrifice = ₹22,000 × 2/5 = ₹8,800

Case (a): Sam brings his share of goodwill in cash.

Case (b): Sam does NOT bring his share of goodwill.