To calculate R's capital based on the proportion of his share in the profits and adjust the goodwill, follow these step-by-step instructions:
Understand the Profit Sharing Ratio :
P and Q are originally sharing profits and losses in the ratio of 3:1.
Total original ratio = 3+1 = 4 parts.
Now R is admitted with a 1/5th share, which means the new profit-sharing will be distributed among P, Q, and R.
Calculate R's Capital Contribution :
Since R is to bring capital proportionate to his share in profits, first determine his share out of the combined capital of P and Q.
Total Capital of P and Q = ₹3,00,000 + ₹1,50,000 = ₹4,50,000.
R's share in profits = 1/5th.
Total capital after R's admission should be apportioned according to the new profit-sharing ratio.
R's capital contribution = (1/5) * ₹4,50,000 = ₹90,000.
Goodwill Treatment :
R brings ₹60,000 as his share of the premium for goodwill.
As R is admitted for 1/5th share, the goodwill needs to be adjusted among P and Q according to their sacrifice.
Journal Entries :
Entry for Goodwill Brought in by R :
Cash A/c ........... Dr ₹60,000 -To Premium for Goodwill A/c ...... ₹60,000
Allocation of Goodwill to Other Partners (P and Q) :
As P and Q sacrifice in the ratio of 3:1:
P's sacrifice = (3/4) * ₹60,000 = ₹45,000
Q's sacrifice = (1/4) * ₹60,000 = ₹15,000
Premium for Goodwill A/c ..... Dr ₹60,000 -To P's Capital A/c ............ ₹45,000 -To Q's Capital A/c ............ ₹15,000
Entry for R's Capital Contribution :
Cash A/c ........... Dr ₹90,000 -To R's Capital A/c ............ ₹90,000
Thus, R's capital is ₹90,000, and these are the necessary journal entries to be passed for R's admission as a partner in the firm.