X, Y, Z were partners sharing profits and losses in the ratio of 4:3: 2. Z retired on 1st July, 2021 on which date the capitals of X, Y, Z after all necessary adjustments stood at ₹75,000, ₹65,000 and ₹45,000 respectively. X & Y continued to carry on the business for 6 months without settling the account of Z. During the period of 6 months ended 31st December, 2021, a profit of ₹50,000 is earned by the firm.

If share in the profit is given to retired partner Z for using his balance then what will be the share of Z?

₹12162

Capital of X & Y is 75000 + 65000 = 140000
Balance of Z = 45000
Profit earned for the 6 months is ₹50000
Share will be = (50000 x 45000) / (140000+45000)
                     = 50000 x 45000/185000
                      =₹12162