Example of Change in Partnership in Mid-Year

A mid-year change in a partnership typically involves the admission of a new partner, the retirement of an existing partner, or adjustments in the profit-sharing ratio. Such changes require careful accounting to ensure fair distribution of profits and proper adjustments to capital accounts. The following example illustrates how to account for a mid-year partnership change.

Scenario:

XYZ Partners consists of three partners: Alice, Bob, and Carol, sharing profits in a 3:2:1 ratio. On July 1st, Carol retires, and David is admitted as a new partner. The new profit-sharing ratio between Alice, Bob, and David is 4:3:3. Goodwill is valued at $12,000, and the firm’s total annual profit is $60,000.

Step 1: Calculate Profits Before and After the Change

  • Total Annual Profit: $60,000
  • Profit for the First Half of the Year (before Carol’s retirement): $60,000 ÷ 2 = $30,000
  • Profit for the Second Half of the Year (after David’s admission): $30,000

Step 2: Distribute Profits Before the Change

Old Profit-Sharing Ratio (3:2:1):

  • Alice’s Share: 3/6 × $30,000 = $15,000
  • Bob’s Share: 2/6 × $30,000 = $10,000
  • Carol’s Share: 1/6 × $30,000 = $5,000

Step 3: Goodwill Adjustment on Carol’s Retirement

Goodwill is valued at $12,000. Carol’s share of goodwill is 1/6 of $12,000, which equals $2,000. The remaining partners compensate Carol for her share of goodwill.

Goodwill Adjustment:

  • Alice’s Contribution: 3/5 of $2,000 = $1,200
  • Bob’s Contribution: 2/5 of $2,000 = $800

Journal Entry:

  • Debit: Alice’s Capital Account $1,200
  • Debit: Bob’s Capital Account $800
  • Credit: Carol’s Capital Account $2,000

Step 4: Distribute Profits After the Change

New Profit-Sharing Ratio (4:3:3):

  • Alice’s Share: 4/10 × $30,000 = $12,000
  • Bob’s Share: 3/10 × $30,000 = $9,000
  • David’s Share: 3/10 × $30,000 = $9,000

Step 5: Final Capital Account Adjustments

The following table summarizes the adjustments to the partners’ capital accounts after accounting for profit distribution and goodwill.

Partner Profit Before Change ($) Profit After Change ($) Goodwill Adjustment ($) Total Capital Adjustment ($)
Alice 15,000 12,000 (1,200) 25,800
Bob 10,000 9,000 (800) 18,200
Carol 5,000 2,000 7,000
David 9,000 9,000

Step 6: Settlement of Carol’s Capital Account

Carol’s total entitlement upon retirement is $7,000 (profit share + goodwill). This amount is settled through the partnership’s bank account.

Journal Entry:

  • Debit: Carol’s Capital Account $7,000
  • Credit: Bank Account $7,000

Managing Mid-Year Partnership Changes

This example demonstrates how to account for a change in partnership in mid-year, including profit distribution before and after the change, goodwill adjustments, and settlement of a retiring partner’s capital. Proper accounting ensures fairness and transparency, fostering trust among partners and ensuring smooth business operations.

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