Question

From the following information, calculate value of goodwill of the firm:
(i) At three years purchase of Average Profit.
(ii) At three years purchase of Super Profit.
(iii) On the basis of capitalisation of Super Profit.
(iv) On the basis of capitalisation of Average Profit.
Information:
(a) Average Capital Employed is Rs.$6,00,000$.
(b) Net profit/(Loss) of the firm for the last three years ended are:
${31}^{st}$March,2018 - Rs.$2,00,000$, ${31}^{st}$March,2017 - Rs.$1,80,000$ and ${31}^{st}$March,2016 - Rs.$1,60,000$
(c) Normal rate of Return in similar business is $10$ .
(d) Remuneration of Rs$1,00,000$ to partners is to be taken as charge against profit.
(e) Assets of the firm (excluding goodwill, fictitious assets and non-trade investments) is Rs.$7,00,000$ whereas Partner's capital is Rs. $6,00,000$ and outside Liabilities Rs.$1,00,000$.

Answer 1

(i) 3 Years' purchase of Average Profit method:

Step 1: Calculation of Average Profit:

Average Profit=[(200000-100000)+(180000-100000)+(160000-100000)]/3

= 80000

Step 2: Calculation of Goodwill:

Goodwill= 80000 * 3

= 240000

(ii) 3 Years' purchase of Super Profit method:

Step 1: Calculation of Capital Employed:

Capital Employed= total assets- external liabilities

= 700000-100000

= 600000

Step 2: Calculation of Normal Profit:

Normal Profit= 600000* [10/100]

= 60000

Step 3: Calculation of Average Profit:

Average Profit=[(200000-100000)+(180000-100000)+(160000-100000)]/3

= 80000

Step 4: Calculation of Super Profit:

Super Profit= 80000-60000

= 20000

Step 5: Calculation of goodwill:

Goodwill= 20000 * 3

= 60000

(iii) Capitalisation of Super Profit Method:

Step 1: Calculation of Capital Employed:

Capital Employed= total assets- external liabilities

= 700000-100000

= 600000

Step 2: Calculation of Normal Profit:

Normal Profit= 600000* [10/100]

= 60000

Step 3: Calculation of Average Profit:

Average Profit=[(200000-100000)+(180000-100000)+(160000-100000)]/3

= 80000

Step 4: Calculation of Super Profit:

Super Profit= 80000-60000

= 20000

Step 5: Calculation of goodwill:

Goodwill= Super Profit * [100/Normal Rate of return]

= 20000*[100/10]

= 200000

(iv) Capitalisation of Average Profit method:

Step 1: Calculation of Average Profit:

Average Profit=[(200000-100000)+(180000-100000)+(160000-100000)]/3

= 80000

Step 2: Calculation of capitalised value of profit:

Capitalised value of profit= 80000*[100/10]

= 800000

Step 3: Calculation of Capital Employed:

Capital Employed= total assets- external liabilities

= 700000-100000

= 600000

Step 4: Calculation of goodwill:

Goodwill= 800000-600000

= 200000