The partnership of A, B, and C made a net profit for the past five years as shown below:

Year Profit (N’000)
2014 30,000
2015 18,000
2016 9,000
2017 15,000
2018 21,000

The firm wishes to admit D, for this reason it has decided that the fair value of goodwill is 4 years purchase of the average super profits over the last 5 years. The normal profit is N6,000,000 per annum.

What is the value of goodwill?
A. N42,400
B. N46,400
C. N49,200
D. N50,400
E. N62,200

D. N50,400

Explanation:
To calculate goodwill, first determine the average profit for the past five years, then subtract the normal profit to get the super profit. Multiply the super profit by 4 to arrive at the value of goodwill:

  • Average profit: (30,000 + 18,000 + 9,000 + 15,000 + 21,000) / 5 = N18,600
  • Super profit: N18,600 – N6,000 = N12,600
  • Goodwill: N12,600 × 4 = N50,400
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