Question

Bharat and Bhushan are partners sharing profits in the ratio of 3 : 2. They decided to admit Manu as a partner from 1st April, 2019 on the following terms:
(i) Manu will be given 2/5th share of the profit.
(ii) Goodwill of the firm will be valued at two years' purchase of three years' normal average profit of the firm.
Profits of the previous three years ended 31st March, were:
2019 - Profit ₹ 30,000 (after debiting loss of stock by fire ₹ 40,000).
2018 - Loss ₹ 80,000 (includes voluntary retirement compensation paid ₹ 1,10,000).
2017 - Profit ₹ 1,10,000 (including a gain (profit) of ₹ 30,000 on the sale of fixed assets).
​Calculate the value of goodwill.

Answer 1

Normal Profits for the year ended 31st March,2019=$\left(\mathrm{Total}\mathrm{Profits}+\mathrm{Loss}\mathrm{by}\mathrm{fire}\right)=₹(30,000+40,000)=₹70,000$
Normal Profits for the year ended 31st March,2018= $\left(\mathrm{Total}\mathrm{loss}-\mathrm{Voluntary}\mathrm{retirement}\mathrm{Compensation}\mathrm{paid}\right)=₹(80,000-1,10,000)$= ₹30,000
Normal Profits for the year ended 31st March,2017= $₹\left(\mathrm{Total}\mathrm{Profit}-\mathrm{Gain}\mathrm{on}\mathrm{sale}\mathrm{of}\mathrm{Fixed}\mathrm{Assets}\right)=₹(1,10,000-30,000)$= ₹80,000
$\mathrm{Average}\mathrm{Profits}=\left(\frac{\mathrm{Normal}\mathrm{Profits}\mathrm{from}31\mathrm{st}\mathrm{March},2017\mathrm{to}31\mathrm{st}\mathrm{March},2019}{3}\right)=\left(\frac{70,000+30,000+80,000}{3}\right)=₹60,000$
$\mathrm{Goodwill}=\mathrm{Average}\mathrm{Profits}\mathrm{for}\mathrm{last}3\mathrm{years}\times \mathrm{No}.\mathrm{of}\mathrm{years}\mathrm{of}\mathrm{purchase}=₹(60,000\times 2)=₹1,20,000$