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Long Answer Questions · Q4

Q.If it is agreed that the capital of all the partners should be proportionate to the new profit sharing ratio, how will you work out the new capital of each partner? Give examples and state how necessary adjustments will be made.

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When partners agree to make their capitals proportionate to a new profit-sharing ratio, the total capital of the firm is first determined (often based on the existing capital of one partner or a mutually agreed figure), and then each partner's capital is calculated as their share of that total. The difference between the existing capital and the required capital is adjusted by bringing in or withdrawing cash, or through a current account transfer.

The Concept: Why Proportionate Capital?

In a partnership, capital represents each partner's stake in the firm. When the profit-sharing ratio changes (due to admission, retirement, or a mutual agreement), the partners often decide that their capital accounts should reflect their new risk-and-reward share. This ensures fairness — no partner has a disproportionately large or small investment relative to their claim on profits.

The accounting treatment follows the Fixed Capital Method (most common for such adjustments) or the Fluctuating Capital Method. Under the fixed method, adjustments are made through a Current Account (or a separate Capital Adjustment Account), keeping the original capital account balances unchanged. Under the fluctuating method, the capital account itself is directly adjusted.

The Procedure: Step-by-Step

  1. Determine the Total Capital of the New Firm. This is usually based on the capital of the partner who has the highest existing capital, or it is mutually agreed upon. For example, if Partner A has ₹1,00,000 and the new ratio is 2:1, the total capital might be set as ₹1,50,000 (so that A's 2/3 share equals ₹1,00,000).

  2. Calculate Each Partner's Required Capital. Multiply the total capital by each partner's new profit-sharing ratio.

  3. Find the Surplus or Deficiency. Compare each partner's existing capital (after all other adjustments like revaluation, goodwill, etc.) with their required capital.

    • If existing capital > required capital → Surplus (partner withdraws the excess).
    • If existing capital < required capital → Deficiency (partner brings in the shortfall).
  4. Record the Adjustment. The partner either brings in cash (debit Bank, credit Capital/Current Account) or withdraws cash (debit Capital/Current Account, credit Bank).

Example 1: Fixed Capital Method (Most Common)

Given: A and B are partners sharing profits in 3:2. Their capitals (fixed) are ₹1,50,000 and ₹1,00,000 respectively. They decide to share future profits equally (1:1). The total capital of the new firm is agreed at ₹2,50,000.

Step 1: Calculate Required Capitals

  • Total capital = ₹2,50,000
  • A's new share = 1/2 → Required capital = ₹2,50,000 × 1/2 = ₹1,25,000
  • B's new share = 1/2 → Required capital = ₹2,50,000 × 1/2 = ₹1,25,000

Step 2: Compare with Existing Capitals

  • A: Existing ₹1,50,000 – Required ₹1,25,000 = Surplus ₹25,000 (A will withdraw)
  • B: Existing ₹1,00,000 – Required ₹1,25,000 = Deficiency ₹25,000 (B will bring in)

Step 3: Journal Entry

DateParticularsL.F.Debit (₹)Credit (₹)
A's Current A/c Dr.25,000
To A's Capital A/c25,000
(Being surplus capital transferred to Current A/c — A will withdraw)
Bank A/c Dr.25,000
To B's Current A/c25,000
(Being deficiency brought in by B)
Note

Under the Fixed Capital Method, the Capital Account remains unchanged. The adjustment is routed through the Current Account. If the partner withdraws the surplus, the Current Account is debited (reducing it). If the partner brings in cash, the Current Account is credited.

Example 2: Fluctuating Capital Method

Given: Same as above, but capitals are fluctuating.

Step 1 & 2: Same calculations — A has surplus ₹25,000, B has deficiency ₹25,000.

Step 3: Journal Entry

DateParticularsL.F.Debit (₹)Credit (₹)
A's Capital A/c Dr.25,000
To Bank A/c25,000
(Being surplus capital withdrawn by A)
Bank A/c Dr.25,000
To B's Capital A/c25,000
(Being deficiency brought in by B)
Watch out

A common mistake is to debit/credit the Capital Account directly under the Fixed Capital Method. Remember: under Fixed Capital, the Capital Account is a permanent record of the partner's agreed capital. All adjustments for surplus/deficiency go through the Current Account.

Example 3: When Total Capital is Based on One Partner's Capital

Given: X, Y, Z share profits in 5:3:2. Their capitals are ₹80,000, ₹60,000, and ₹40,000 respectively. They admit W with 1/5th share. The new ratio is 4:2:2:2. It is agreed that capitals shall be proportionate to the new ratio, and X's capital will be the base.

Step 1: Determine Total Capital Based on X's Capital

  • X's new share = 4/10 = 2/5 …

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