What is the New Profit Sharing Ratio?

In the world of partnership accounting, a business doesn’t stay static forever. When a highly successful firm decides to expand, they will often admit a new partner to bring in fresh capital or specialized skills. But there is a catch: the total profits of the firm still equal 100%. If a new person is getting a slice of the pie, the original partners must sacrifice a portion of their slices.

Quick Answer: The New Profit Sharing Ratio is the newly agreed-upon proportion in which all partners (including newly admitted partners) will share the future profits and losses of the firm. It is calculated by deducting the old partners’ sacrificed share from their original share.

Calculating the new ratio accurately is essential not just for distributing year-end cash, but for adjusting capital accounts, distributing accumulated reserves, and calculating the premium for Goodwill brought in by the new partner.

The Formula and Calculation Methods

The mathematical foundation for finding a continuing partner’s new share is:

New Share = Old Share − Sacrificing Share

However, how you determine that “Sacrificing Share” depends entirely on the partnership agreement. There are two incredibly common scenarios you will face:

Scenario 1: Old Partners Sacrifice in their Old Ratio (Default)

If the partnership agreement simply states that “C is admitted for a 1/5th share” and says nothing else, accounting rules dictate that A and B will sacrifice their shares in their original ratio.

  • Step A: Subtract the new partner’s share from 1 (the whole firm) to find the “Remaining Share”.
  • Step B: Multiply this Remaining Share by the old partners’ original fractions.

Scenario 2: Old Partners Sacrifice Equally

Sometimes the agreement states that “C is admitted for a 1/5th share, which he acquires equally from A and B.”

  • Step A: Divide the new partner’s share by 2 (e.g., 1/5 ÷ 2 = 1/10). This is the exact fraction each old partner sacrifices.
  • Step B: Subtract that fraction directly from the old partners’ original shares.

Step-by-Step Calculation Example

Let’s look at the math powering the default mode of our calculator. Assume Partner A and Partner B share profits in a 3:2 ratio. They admit Partner C for a 1/5 share of the profits. How do we find the new ratio?

Step 1: Determine the Remaining Profit

Total Firm Profit = 1
C’s Share = 1/5
Remaining Share = 1 – 1/5 = 4/5

Step 2: Distribute Remaining Profit in the Old Ratio

A and B shared 3:2, meaning A’s fraction was 3/5 and B’s was 2/5.

A’s New Share = 3/5 (Old) × 4/5 (Remaining) = 12/25
B’s New Share = 2/5 (Old) × 4/5 (Remaining) = 8/25

Step 3: Equalize the Denominators

We know C’s share is 1/5. To compare it to A and B (who have denominators of 25), we multiply C’s share by 5/5.

C’s New Share = 1/5 × 5/5 = 5/25

Result: The numerators give us the exact New Profit Sharing Ratio: 12 : 8 : 5.

Frequently Asked Questions (FAQs)

Why is calculating the new ratio necessary if we already know the new partner’s share?

While you know the new partner gets 20%, you need the exact ratio (like 12:8:5) to accurately split the remaining 80% between the old partners. Without the ratio, you cannot properly allocate year-end dividends or adjust the balance sheet.

What is the difference between the New Ratio and the Sacrificing Ratio?

The New Ratio is the final percentage of the firm each partner owns moving forward. The Sacrificing Ratio is strictly the proportion in which the old partners gave up their shares to make room for the new partner. The sacrificing ratio is specifically used to distribute the cash premium (Goodwill) the new partner brings into the business.

Can an old partner gain a share during an admission?

Yes, though it is rare. If the partnership ratios are heavily restructured during the admission process, it’s mathematically possible for an old partner’s new share to be higher than their old share. In this case, they would actually owe Goodwill to the sacrificing partners, just like the new partner does. You can analyze these shifts using our Gaining Ratio Calculator.