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K, N and P are partners sharing profits and losses in the ratio of 4:3:2. N retires and the goodwill is valued at Rs 72,000. K and P decided to share future profits and losses in the ratio of 5:3. Find which of the following is not correct?

Solution

✅ Correct Option: 2

Old ratio of K, N and P = 4:3:2

N retires.

New ratio of K and P = 5:3

Calculating Gaining Ratio:

K's gain = New share - Old share = 58−49=45−3272=1372\frac{5}{8} - \frac{4}{9} = \frac{45-32}{72} = \frac{13}{72}

P's gain = New share - Old share = 38−29=27−1672=1172\frac{3}{8} - \frac{2}{9} = \frac{27-16}{72} = \frac{11}{72}

Gaining ratio of K:P = 13:11


N's share of goodwill:

N's share = 39\frac{3}{9} × 72,000 = Rs 24,000

This amount will be paid to N by the continuing partners K and P in their gaining ratio.

Distribution of goodwill:

K will pay = 1324\frac{13}{24} × 24,000 = Rs 13,000

P will pay = 1124\frac{11}{24} × 24,000 = Rs 11,000


Journal Entry:

ParticularsDebit (Rs)Credit (Rs)
K's Capital A/c Dr.13,000
P's Capital A/c Dr.11,000
To N's Capital A/c24,000

From the journal entry:

  • K's Capital A/c is debited with Rs 13,000 ✓
  • P's Capital A/c is debited with Rs 11,000 ✓
  • N's Capital A/c is credited with Rs 24,000 ✓

Option 2 states that N's Capital A/c is debited with Rs 24,000, which is incorrect. As the question is asking for the incorrect answer, the answer will be Option 2. N's account should be credited (not debited) as the retiring partner receives their share of goodwill from the continuing partners.

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