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Numerical Questions · Q19

Q.A and B are partners in a firm sharing profits and losses in the ratio of 3:2. They decide to admit C into partnership with 1/4 share in profits. C will bring in ₹30,000 for capital and the requisite amount of goodwill premium in cash. The goodwill of the firm is valued at ₹20,000. The new profit sharing ratio is 2:1:1. A and B withdraw their share of goodwill. Give necessary journal entries?

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C brings ₹30,000 capital and ₹5,000 goodwill premium (1/4 of ₹20,000). Goodwill is credited to A and B in their sacrificing ratio (1:1). A and B then withdraw their share of goodwill in cash.

Concept: Admission of a Partner – Goodwill Treatment

When a new partner is admitted, they bring in their share of the firm's goodwill. The goodwill premium is the amount the new partner pays to the existing partners for the right to share in future profits. This premium is distributed among the old partners in their sacrificing ratio – the ratio in which they have given up their share of profits to the new partner.

The key rule: Goodwill brought in by the new partner is credited to the old partners' capital accounts in their sacrificing ratio. If the old partners withdraw this amount, it is debited to their capital accounts and credited to cash/bank.

Step 1: Calculate the Sacrificing Ratio

The old ratio (A:B) = 3:2

The new ratio (A:B:C) = 2:1:1

Sacrifice = Old Share – New Share

A's sacrifice = 3/5 – 2/4 = (12 – 10)/20 = 2/20

B's sacrifice = 2/5 – 1/4 = (8 – 5)/20 = 3/20

Sacrificing ratio (A:B) = 2/20 : 3/20 = 2:3

Watch out

A common mistake is to use the old profit-sharing ratio (3:2) instead of the sacrificing ratio (2:3) when distributing goodwill. Always compute the sacrificing ratio first.

Step 2: Calculate Goodwill Premium

Firm's total goodwill = ₹20,000

C's share = 1/4

C's share of goodwill = ₹20,000 × 1/4 = ₹5,000

This ₹5,000 is the premium C must bring in cash.

Step 3: Distribution of Goodwill Premium

Goodwill premium of ₹5,000 is distributed between A and B in their sacrificing ratio of 2:3.

A's share = ₹5,000 × 2/5 = ₹2,000

B's share = ₹5,000 × 3/5 = ₹3,000

Step 4: Journal Entries

DateParticularsL.F.Debit (₹)Credit (₹)
Bank A/c Dr.35,000
To C's Capital A/c30,000
To Goodwill A/c5,000
(Being capital and goodwill brought in by C)
Goodwill A/c Dr.5,000
To A's Capital A/c2,000
To B's Capital A/c3,000
(Being goodwill premium credited to old partners in sacrificing ratio 2:3)
A's Capital A/c Dr.2,000
B's Capital A/c Dr.3,000
To Bank A/c5,000
(Being the amount of goodwill withdrawn by A and B)

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