Q.In the absence of a partnership deed, in which ratio do the old partners sacrifice their share of profit in case of admission of a new partner?
Concept understanding — Sacrificing Ratio Definition
Let’s start with something you already know from everyday life.
Suppose you and your friend share a pizza equally — half each. One day, your friend says, “I’m not that hungry, you can have a bigger slice today.” So you take 60% and your friend takes 40%. Your friend has sacrificed 10% of the pizza in your favour. That 10% is the sacrificing ratio — the share your friend gave up so you could have more.
Now bring this into a partnership firm. Partners share profits in a fixed ratio (say 3:2). When a new partner is admitted, the old partners have to give up a part of their share to make room for the newcomer. The proportion in which they give up their shares is called the sacrificing ratio.
Precise meaning
Sacrificing ratio = Old ratio – New ratio (for each old partner).
If the result is positive, that partner has sacrificed. If negative, that partner has gained (which is called the gaining ratio, used at retirement).
For example, if A and B share profits 3:2, and they admit C for a 1/5th share, the new ratio might become 2:2:1. Then:
- A’s sacrifice = 3/5 – 2/5 = 1/5
- B’s sacrifice = 2/5 – 2/5 = 0
So A alone sacrifices 1/5th of the total profit. That 1/5th is the sacrificing ratio between A and B — here it’s simply 1:0.
Why does it matter?
Because the new partner brings in goodwill (a premium) to compensate the old partners for the share they gave up. That goodwill is distributed among the sacrificing partners in their sacrificing ratio. If you don’t calculate the sacrificing ratio correctly, you’ll distribute the goodwill unfairly — and that’s a serious accounting error.
Accounting treatment
When the new partner brings in his share of goodwill in cash:
-
Journal entry:
- Debit: Cash/Bank A/c (with the amount brought in)
- Credit: Premium for Goodwill A/c (with the same amount)
-
Then the premium is distributed to the sacrificing partners:
- Debit: Premium for Goodwill A/c
- Credit: Old Partners’ Capital A/cs (individually, in sacrificing ratio)
If the new partner does not bring in cash, the adjustment is done through the capital accounts directly (the new partner’s capital is debited, and the old partners’ capitals are credited).
Format: Capital Accounts (showing goodwill adjustment)
Here’s how the old partners’ capital accounts look after the goodwill is credited (assuming A and B sacrifice in ratio 1:0, and C brings ₹50,000 as premium):
| Particulars | A (₹) | B (₹) | C (₹) |
|---|---|---|---|
| To Balance b/d | — | — | — |
| By Premium for Goodwill A/c | 50,000 | — | — |
| By Balance c/d | … | … | … |
(Only A gets the full ₹50,000 because he alone sacrificed.)
A quick check
Never confuse sacrificing ratio with new ratio. The new ratio is what the partners will share in future. The sacrificing ratio is only about what the old partners gave up. They are not the same.
If you ever see a problem where the new partner’s share is given but the old ratio is unchanged, the sacrificing ratio equals the old ratio — because the new partner’s share is taken equally from the old partners. But that’s a special case, not the rule.
Final takeaway: Sacrificing ratio = Old ratio – New ratio. It determines who gets how much of the goodwill brought in by the new partner. Without it, the entire goodwill adjustment is meaningless.
Part (a): In the absence of a deed, old partners sacrifice in their old profit-sharing ratio.
Part (b): Sacrificing ratio is applied on (i) admission of a new partner and (ii) a change in the profit-sharing ratio among existing partners.
Absence of a Partnership Deed
Sacrificing Ratio = Old Ratio − New Ratio. When a new partner is admitted and the deed (or any agreement) is silent about how the old partners give up their share, it is assumed they sacrifice in their old profit-sharing ratio. This is the fairest default, since each old partner's sacrifice then matches the original stake they held in the firm's profits.
In the absence of a partnership deed, the old partners sacrifice their share of profit in their old profit-sharing ratio.
Part (a): In the absence of a deed, old partners sacrifice in their old profit-sharing ratio.
Part (b): Sacrificing ratio is applied on (i) admission of a new partner and (ii) a change in the profit-sharing ratio among existing partners.
Circumstances Where Sacrificing Ratio Applies
The sacrificing ratio is needed whenever some partners give up a part of their profit share in favour of others. The two main circumstances are:
- Admission of a new partner — the incoming partner's premium for goodwill is credited to the sacrificing (old) partners in their sacrificing ratio, compensating them for the future profit share they surrender.
- Change in profit-sharing ratio among existing partners — when continuing partners re-arrange their shares, the gaining partner(s) compensate the sacrificing partner(s) for goodwill, computed using the sacrificing ratio.
Sacrificing ratio is applied (i) at the admission of a new partner, and (ii) on a change in the profit-sharing ratio among existing partners.
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