Class 12 · Accountancy · Chapter 2 · NCERT Class 12 Accountancy Part 1

Reconstitution of a Partnership Firm: Admission of a Partner Class 12 Notes

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Reconstitution: Admission of a Partner

A change in the existing partnership agreement where the old deed ends and a new one begins, typically requiring unanimous consent of all partners.

  1. Profit Sharing Ratios

    Calculations required to determine how future profits and losses will be distributed among all partners after admission.

    • New Profit Sharing Ratio — Calculated by deducting the new partner's share from 1 and multiplying the remaining share by old partners' individual old shares.
    • Sacrificing Ratio — The ratio in which old partners forgo their shares (Old Share - New Share) to compensate them via the goodwill premium.
  2. Goodwill Valuation Methods

    Determining the monetary value of the firm's reputation and its ability to earn profits above the normal rate.

    • Average Profits Method — Goodwill equals Average Profit multiplied by the Number of Years' Purchase; uses weighted average if trends exist.
    • Super Profits Method — Focuses on excess earnings: Super Profit = Actual Average Profit - Normal Profit (Capital Employed x Normal Rate).
    • Capitalisation Method — Determines capital needed to earn profits; Goodwill = Capitalised Value of Profits - Net Assets.
  3. Accounting for Goodwill

    The process of recording the premium brought by the new partner and handling existing book values.

    • Premium Distribution — New partner's premium is credited to sacrificing partners' capital accounts in their sacrificing ratio.
    • Writing Off Existing Goodwill — Per AS 26, any goodwill already in the balance sheet must be written off to old partners' capital accounts in their old ratio.
  4. Asset and Liability Adjustments

    Ensuring the new partner does not benefit or suffer from historical changes in value before their admission.

    • Revaluation Account — A nominal account recording gains (asset increase/liability decrease) and losses; balance goes to old partners in old ratio.
    • Accumulated Reserves — General reserves and undistributed profits/losses are transferred to old partners' capital accounts in the old ratio.
  5. Capital Adjustments

    Aligning partner capital balances with the new profit-sharing ratio to ensure proportionality.

    • New Partner as Base — Total firm capital = New Partner's Capital x Reciprocal of their share; then distributed by new ratio.
    • Cash Adjustments — Partners bring in or withdraw cash (or use Current Accounts) to reach their required proportionate capital levels.

Chapter notes

A comprehensive guide to the accounting implications of admitting a new partner into a firm, covering profit sharing ratios, goodwill valuation, revaluation of assets, and capital adjustments.

Concept and Modes of Reconstitution

Partnership is an agreement between persons to share profits of a business. Any change in this existing agreement, while the firm continues, is termed as reconstitution.

Reconstitution results in the end of the existing agreement and the formation of a new one, changing the relationship among partners. The firm continues its business operations despite the change in its internal composition.

Common modes of reconstitution include the admission of a new partner, changes in the profit-sharing ratio among existing partners, retirement of a partner, or the death/insolvency of a partner. In all these cases, the old partnership deed is replaced by a new agreement.

According to the Partnership Act 1932, a new partner can generally be admitted only with the unanimous consent of all existing partners, unless the partnership deed provides otherwise. Admission usually occurs when the firm requires additional capital or managerial expertise.

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Under what legal condition can a new partner be admitted if the partnership deed is silent?

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NCERT reference: chapter PDF pages 1, 2.

New Profit Sharing Ratio

When a new partner is admitted, they acquire a share of profits from the old partners, necessitating the calculation of a new profit-sharing ratio for all members.

The new profit-sharing ratio depends on how the incoming partner acquires their share. If the agreement does not specify the source, it is assumed the new partner acquires their share from old partners in their old profit-sharing ratio.

To calculate the new ratio when the total share is 1: first, deduct the new partner's share from 1 to find the 'remaining share'. Then, multiply this remaining share by each old partner's individual old share to find their new respective shares.

Calculating New Ratio (Simple Case)

Remaining Share = 1 - 1/5 = 4/5; Anil's New Share = 3/5 * 4/5 = 12/25

Anil and Vishal share 3:2. Sumit is admitted for 1/5 share. Remaining share for old partners is 4/5. Anil's new share is 12/25, Vishal's is 8/25 (2/5 * 4/5), and Sumit's is 5/25. New Ratio = 12:8:5.

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If A and B (3:1) admit C for 1/4 share, what is the new profit sharing ratio?

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NCERT reference: chapter PDF pages 3, 4, 5, 8.

Sacrificing Ratio

The sacrificing ratio is the proportion in which old partners forgo their profit shares in favor of the new partner.

The sacrifice made by an old partner is calculated as: Old Share of Profit minus New Share of Profit. This ratio is critical because the premium for goodwill brought by the new partner is distributed among old partners in this specific ratio.

If the new profit-sharing ratio is not provided, and only the new partner's share is mentioned, the sacrificing ratio is typically the same as the old profit-sharing ratio. However, if a specific new ratio is agreed upon, the sacrifice must be mathematically derived for each partner.

PartnerOld ShareNew ShareSacrifice (Old - New)
Rohit5/84/73/56
Mohit3/82/75/56

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Why is the sacrificing ratio calculated during the admission of a partner?

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NCERT reference: chapter PDF pages 5, 6.

Nature and Valuation of Goodwill

Goodwill is an intangible asset representing the value of a firm's reputation that enables it to earn profits higher than the normal rate.

Goodwill arises from factors such as favorable location, efficient management, nature of business (stable demand), and special advantages like patents or trademarks. It is essentially the present value of anticipated excess earnings (super profits).

There are three primary methods for valuation: Average Profits Method (simple or weighted), Super Profits Method, and Capitalisation Method. The choice of method is usually decided mutually between partners.

Factors Affecting Goodwill Value

  1. 1

    Location

    Central location with high customer traffic increases value.

  2. 2

    Management

    Efficient management leads to higher productivity and cost efficiency.

  3. 3

    Market Status

    Monopoly or limited competition allows for higher profit margins.

Key business attributes that contribute to the monetary value of a firm's reputation.

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Does a firm incurring losses have goodwill?

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NCERT reference: chapter PDF pages 8, 9, 10.

Calculation Methods: Average and Super Profits

These methods use past performance to estimate the value of the 'years of purchase' a buyer is willing to pay for.

Under the Average Profits Method, goodwill = Average Profit × Number of Years' Purchase. Weighted average is used if profits show a clear increasing or decreasing trend, giving more weight to recent years.

The Super Profits Method focuses on profits earned in excess of the normal return on capital. Normal Profit = (Capital Employed × Normal Rate of Return) / 100. Super Profit = Actual Average Profit - Normal Profit. Goodwill = Super Profit × Number of Years' Purchase.

Super Profits Calculation

Normal Profit = 5,00,000 * 10% = 50,000; Super Profit = 60,000 - 50,000 = 10,000

Capital is 5,00,000 with 10% normal return. Average profit is 60,000. Goodwill at 3 years purchase = 10,000 * 3 = 30,000.

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Define 'Super Profits'.

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NCERT reference: chapter PDF pages 10, 11, 12, 13, 14.

Capitalisation Method

This method determines the value of goodwill by calculating the capital required to earn a certain level of profit.

Capitalisation of Average Profits: First, find the 'Capitalised Value of Average Profits' by (Average Profit × 100) / Normal Rate of Return. Then, Goodwill = Capitalised Value - Net Assets (Actual Capital).

Capitalisation of Super Profits: This directly capitalises the super profit. Goodwill = (Super Profit × 100) / Normal Rate of Return. Both capitalisation approaches yield the same goodwill value.

Capitalisation of Average Profits

Cap. Value = (1,00,000 * 100) / 10 = 10,00,000; Goodwill = 10,00,000 - 8,20,000 = 1,80,000

A firm earns 1,00,000 average profit with 10% normal rate. Net assets are 8,20,000. The goodwill is the difference between the capitalised value of its earnings and its actual capital.

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If Super Profit is 18,000 and the Normal Rate of Return is 10%, what is the goodwill using the capitalisation method?

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NCERT reference: chapter PDF pages 15, 16, 17.

Accounting Treatment of Goodwill

Goodwill treatment depends on whether the new partner brings the premium in cash and whether goodwill already exists in the books.

When the new partner brings goodwill in cash, the 'Premium for Goodwill A/c' is credited and then distributed to sacrificing partners' capital accounts in their sacrificing ratio. If they withdraw it, their capital accounts are debited and Bank A/c is credited.

If goodwill already exists in the balance sheet, it must be written off by debiting old partners' capital accounts in their old profit-sharing ratio before the new partner is admitted. According to AS 26, goodwill appearing in the balance sheet is written off at the time of firm's reconstitution.

Purchased goodwill may be accounted for in the books but should be written off as early as possible, not exceeding 10 years. If the new partner cannot bring goodwill in cash, the new partner's Current Account is debited for their share, and sacrificing partners' Capital Accounts are credited. This ensures the new partner's capital remains intact while compensating the old partners.

  1. 1

    Debit Bank A/c and Credit Premium for Goodwill A/c for cash received.

  2. 2

    Debit Premium for Goodwill A/c and Credit Sacrificing Partners' Capital A/cs in sacrificing ratio.

  3. 3

    If existing goodwill is present, Debit Old Partners' Capital A/cs and Credit Goodwill A/c in old ratio.

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In what ratio is the premium for goodwill brought by a new partner shared by existing partners?

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NCERT reference: chapter PDF pages 17, 18, 19, 20, 21, 22, 23, 25, 26.

Revaluation of Assets and Liabilities

On admission, assets and liabilities are revalued to ensure the new partner does not benefit from past gains or suffer from past losses.

A Revaluation Account (or Profit and Loss Adjustment Account) is prepared. It is credited with increases in asset values and decreases in liability values (gains). It is debited with decreases in asset values and increases in liability values (losses).

The net profit or loss from revaluation is transferred to the old partners' capital accounts in their old profit-sharing ratio. After revaluation, assets and liabilities appear in the new balance sheet at their revised values.

TransactionAccount DebitedAccount Credited
Increase in Asset ValueAsset A/cRevaluation A/c
Decrease in Asset ValueRevaluation A/cAsset A/c
Increase in LiabilityRevaluation A/cLiability A/c
Unrecorded Asset foundAsset A/cRevaluation A/c

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Where is the profit or loss on revaluation transferred?

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NCERT reference: chapter PDF pages 30, 31, 32, 33.

Accumulated Profits, Losses, and Reserves

Reserves and undistributed profits appearing in the balance sheet belong to the old partners and must be adjusted.

Accumulated profits (General Reserve, Reserve Fund, P&L Cr. balance) are distributed to old partners by crediting their capital accounts in the old profit-sharing ratio. The new partner has no right to these past earnings.

Similarly, accumulated losses (P&L Dr. balance, Deferred Revenue Expenditure) are debited to the old partners' capital accounts in the old ratio. This ensures the new partner starts with a clean slate regarding the firm's historical reserves.

Adjusting General Reserve

Rajinder's share = 20,000 * 4/5 = 16,000; Surinder's share = 20,000 * 1/5 = 4,000

A firm has a 20,000 General Reserve. Rajinder and Surinder (4:1) admit Narender. The reserve is transferred to old partners' capital accounts before admission.

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In which ratio are accumulated profits distributed at the time of admission?

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NCERT reference: chapter PDF pages 29, 30.

Adjustment of Partners' Capitals

Partners may agree to make their capital accounts proportionate to their new profit-sharing ratio.

If the new partner's capital is the base: Total capital of the firm = New Partner's Capital × Reciprocal of their share. This total is then divided among all partners in the new ratio.

The resulting figures are compared with existing adjusted capitals. Partners with a shortage bring in cash, while those with a surplus withdraw cash or have the amount transferred to their Current Accounts.

Alternatively, the total capital of the firm may be fixed by agreement. In this case, each partner's required capital is calculated based on their share of the fixed total, and adjustments are made accordingly.

The final capital balances of all partners will be exactly proportional to their new profit-sharing ratio.

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If C is admitted for 1/4 share with 20,000 capital, what is the total capital of the newly constituted firm based on C's share?

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NCERT reference: chapter PDF pages 27, 36, 37, 38, 39.

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