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Principles of Accounting · Partnerships

Handling a change in profit ratio

The ratio changed in the middle of the year, and you apply the new one to everything.

When partners change their profit-sharing ratio during the year, each ratio applies only to the profit earned while it was in force. Split the year’s profit into two periods first, then share each period in its own ratio.

This lesson is part of the partnerships chapter. It extends applying a stated partnership agreement.

How do I confirm what my syllabus includes?

Partnership questions can involve admission, retirement or goodwill, and your syllabus may cover some of these and not others. Check the current curriculum document (DSKP) through the BPK website, and confirm with your teacher which conventions your school follows.

If a question states its own treatment, use that. This lesson teaches only the change in profit ratio, which uses the same steps in every convention.

Worked example: A and B

A and B earn a profit of RM96 000 for the year ended 31 December, evenly through the year. They share 1:1 until 30 April and 3:2 from 1 May.

  1. Count the months. January to April is 4 months, and May to December is 8 months.
  2. Split the profit. First period: 96 000 × 4/12 = RM32 000. Second period: 96 000 × 8/12 = RM64 000.
  3. Share each period.
Period Profit (RM) Ratio A (RM) B (RM)
1 Jan to 30 Apr 32 000 1:1 16 000 16 000
1 May to 31 Dec 64 000 3:2 38 400 25 600
Total 96 000 54 400 41 600

The second period: 64 000 ÷ 5 = 12 800, so A gets 3 × 12 800 = 38 400 and B gets 2 × 12 800 = 25 600. A’s total is 16 000 + 38 400 = RM54 400, and B’s is 16 000 + 25 600 = RM41 600. Together they make RM96 000.

The mistake that costs marks

The common slip is to apply the new ratio to the whole year because the new ratio is the one “in force” at year end. A would get 57 600 and B 38 400.

Step Wrong Right
Ratio used 3:2 for the full year 1:1 then 3:2
A’s total RM57 600 RM54 400
B’s total RM38 400 RM41 600

The error moves RM3 200 from B to A. Because the totals still add up to the profit, only checking the periods catches it.

Check yourself

Profit for the year is RM60 000, earned evenly. Partners C and D share 1:1 for the first 3 months and 2:1 for the last 9 months. Find each partner’s total.

Answer

First period: 60 000 × 3/12 = RM15 000, shared 1:1, so 7 500 each.

Second period: 60 000 × 9/12 = RM45 000, shared 2:1, so C gets 30 000 and D gets 15 000.

C: 7 500 + 30 000 = RM37 500. D: 7 500 + 15 000 = RM22 500.

Check: 37 500 + 22 500 = RM60 000.

What to study next

Put the skills together in the partnership changes worked set, which follows one pair of partners through a full set of accounts.

If you want a teacher to confirm the conventions for your year, see online one-to-one Accounting tuition.

Common questions

Do I split profit by time when a ratio changes?

When the question says the profit was earned evenly through the year, yes. Split the profit by the number of months in each period, then share each part in the ratio that applied. If the question gives profit for each period, use those figures.

Do SPM questions include admission or retirement of a partner?

Scope depends on the syllabus for your year, so confirm it on the BPK website or with your teacher. This lesson covers a change in profit ratio only. Do not learn extra conventions from a source that does not match your syllabus.

What if the question gives profit for the period before and after the change?

Use the two figures directly. Share the first in the old ratio and the second in the new ratio, and add the results for each partner. There is no need to apportion by months.

How do I check my working?

Add all partners' shares for both periods. The total must equal the profit for the year, exactly.

If a change in the middle of the year sends your working off track, a one-to-one Accounting teacher can check which conventions your textbook and school use and practise them with you.

  • Online one-to-one lessons for your child with an experienced teacher.
  • Your first class is a one-hour trial, from RM50. The fee is agreed before you book.
  • Happy with the teacher? Continue with lessons of about 1.5 hours. If not, ask for another teacher.