On 31st March, 2010, the Balance Sheet of W and R who shared profits in 3 : 2 ratio was as follows,

On this date B was admitted as a partner on the following conditions:
(i) B wil get 4/5th share of profits.
(ii) B had to bring RS.30,000 as his capital to which amount other partner's capital shall have to be adjusted.
(iii) He would pay cash for his share of goodwill which would be based on `2_(1//2)` years' purchase of averge profit of past 4 years.
(iv) The assets would be revalued as under.
Sundry Debtors at book value less 5% Provision for Bad Debts. Stock at RS.Plant and Machinery at RS.40,000.
(v) The profits of the firm for the years 2007, 2008 and 2009 were RS.20,000, RS.14,000 and RS.17,000 respectively.
Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of the new firm.

Explanation

Working Notes:
1. Valuation of Goodwill and B's share of Goodwill:
Average Profit `=(RS.20,000+RS.14.000+RS.17,000+RS.15,000)/(4)=RS.16,500`
Value of Goodwill = Average Profit xxNo.of years' Purchase
`=RS.16,500xx(5)/(2)=RS.41,250`
B's share in Goodwill `RS.41.250xx(4)//(15)=RS.11,000`
2.Calculation of New Profit-Sharing Ratio:
Let total Profit=1
B's share = 4/15th share
Remaining Profit =1-4/15=11/15
W's share `=11//15xx2//5=22//75`
R's `=11/15xx2//5=22//75` Thus New Profit-sharing Ratio of W, R and B =33/75 : 22/75 : 4/75 : or 33 : 22 : 20.
3. Adjustment of Capital:
For 4/15th share, B brought capital =RS.30,000 Therefore , total capital of the firm `RS.30,000xx15//4=RS.1,12,500` Thus, W,s Capital `RS.1,12,500xx33//75=RS.49,500,`
R's Capital `=RS.1,12,500xx22//75=RS.33,0000,` and
B's Capital `=RS.1,12,500xx20//75=RS.30,000.`