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Q.A and B are partners in a firm sharing profits and losses in the ratio of 2 : 1. On 1st April, 2017 they decided to admit C into partnership for 1/5 th share in the profits. For this purpose, goodwill was valued at 80% of the average annual profits of the previous four years. The profits of the last four years were : Year Ending | Amount ₹ 31.3.2014 | 1,67,000 31.3.2015 | 1,56,000 31.3.2016 | 1,92,000 31.3.2017 | (10,000) Calculate the value of goodwill of the firm and the amount of goodwill premium brought by C on his admission.

CBSECBSE Class XII Board 2019Subjective· 3mImportance★★★★★
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Goodwill of the firm = ₹1,01,000; goodwill premium brought by C for his 1/5 share = ₹20,200.

Concept

Under the average profit method, goodwill = agreed years' purchase x average profit. Here the firm's goodwill is fixed at 80% of the average annual profit of the last four years, and a loss year is included in the average. On admission, the incoming partner's goodwill premium = his profit share x the firm's goodwill.

Solution

Step 1 - Average annual profit

Total profit=1,67,000+1,56,000+1,92,000+(10,000)=5,05,000\text{Total profit} = 1{,}67{,}000 + 1{,}56{,}000 + 1{,}92{,}000 + (10{,}000) = 5{,}05{,}000

Average profit=5,05,0004=1,26,250\text{Average profit} = \frac{5{,}05{,}000}{4} = 1{,}26{,}250

Step 2 - Value of goodwill of the firm

Goodwill=80%×1,26,250=80100×1,26,250=1,01,000\text{Goodwill} = 80\% \times 1{,}26{,}250 = \frac{80}{100}\times 1{,}26{,}250 = 1{,}01{,}000

Step 3 - Goodwill premium brought by C (1/5 share)

C’s premium=15×1,01,000=20,200\text{C's premium} = \frac{1}{5}\times 1{,}01{,}000 = 20{,}200 …

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