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Numerical Questions · Q25

Q.Rajesh and Mukesh are equal partners in a firm. They admit Hari into partnership and the new profit sharing ratio between Rajesh, Mukesh and Hari is 4:3:2. On Hari's admission goodwill of the firm is valued at ₹36,000. Hari is unable to bring his share of goodwill premium in cash. Rajesh, Mukesh and Hari decided not to show goodwill in their balance sheet. Record necessary journal entries for the treatment of goodwill on Hari's admission.

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Hari’s share of goodwill (₹8,000) is adjusted through the partners’ capital accounts — Hari is debited for his share, and Rajesh and Mukesh are credited in their sacrificing ratio (2:1). No goodwill account appears in the books.

Concept and Accounting Treatment

When a new partner is admitted, any goodwill brought in by the new partner is a compensation to the existing partners for the share of future profits they are giving up. The key principle is: the new partner must compensate the old partners for the share of goodwill they sacrifice.

In this case, Hari cannot bring cash for his share of goodwill. The partners also decide not to show goodwill as an asset in the balance sheet. When goodwill is not to be recorded as an asset, the adjustment is done entirely through the partners’ capital accounts. The journal entry is:

  • Debit the new partner’s capital account (Hari) — for his share of goodwill.
  • Credit the old partners’ capital accounts (Rajesh and Mukesh) — in their sacrificing ratio.

The sacrificing ratio is the ratio in which the old partners have given up their share of profit. It is calculated as:

Sacrificing Ratio = Old Share – New Share

Rajesh and Mukesh were equal partners, so their old ratio was 1:1 (each 1/2). The new ratio is 4:3:2 (Rajesh 4/9, Mukesh 3/9, Hari 2/9).

  • Rajesh’s sacrifice = 1/2 – 4/9 = (9 – 8)/18 = 1/18
  • Mukesh’s sacrifice = 1/2 – 3/9 = (9 – 6)/18 = 3/18

So the sacrificing ratio of Rajesh : Mukesh = 1/18 : 3/18 = 1:3.

Hari’s share of goodwill = 2/9 of ₹36,000 = ₹8,000.

This ₹8,000 will be credited to Rajesh and Mukesh in the ratio 1:3.

Watch out

A common mistake is to credit the old partners in the new profit-sharing ratio (4:3) instead of the sacrificing ratio (1:3). Always compute the sacrificing ratio separately — it is rarely the same as the new ratio.

Journal Entry

DateParticularsL.F.Debit (Rs.)Credit (Rs.)
Hari’s Capital A/c Dr.8,000
To Rajesh’s Capital A/c2,000
To Mukesh’s Capital A/c6,000
(Being adjustment for goodwill on Hari’s admission — Hari’s share of goodwill credited to sacrificing partners in their sacrificing ratio 1:3)

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