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Question
X and Y are partners with capitals of ₹ 50,000 each. They admit Z as a partner for 1/4th share in the profits of the firm. Z brings in ₹ 80,000 as his share of capital. The Profit and Loss Account showed a credit balance of ₹ 40,000 as on date of admission of Z.
Give necessary journal entries to record the goodwill.
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Solution
Total Capital of the firm on the basis of Z's admission = ₹ 80,000 × `4/1` = ₹ 3,20,000
Actual capital of all the partners = X's capital + Y’s Capital + Z’s Capital + Undistributed Profit
= ₹ 50,000 + ₹ 50,000 + ₹ 80,000 + ₹ 40,000
= ₹ 2,20,000
Goodwill = Total Capital of the firm - Actual Capital of the firm
= ₹ 3,20,000 - ₹ 2,20,000
= ₹ 1,00,000
Z’s share of goodwill = ₹ 1,00,000 × `1/4` = ₹ 25,000
W.N. Calculation of Sacrificing Ratio:
Old Ratio = 1: 1 or `1/2: 1/2`
Z's share = `1/4`
Let total profit = 1
Remaining Profit = `1/1 - 1/4 = (4 - 1)/4 = 3/4`
New Ratio = Old Ratio × Remaining Profit
X = `1/2 xx 3/4 = 3/8`
Y = `1/2 xx 3/4 = 3/8`
Z = `1/4 or 2/8`
New Ratio = `3/8: 3/8: 2/8` or 3: 3: 2
Sacrifice Ratio = Old Ratio - New Ratio
X = `1/2 - 3/8 = (4 - 3)/8 = 1/8`
Y = `1/2 - 3/8 = (4 - 3)/8 = 1/8`
Sacrifice Ratio = `1/8: 1/8 or 1: 1.`
| Journal Entries | ||||
| Date | Particular | L.F. | Amt (₹) | Amt (₹) |
| 1. | Cash/Bank a/c Dr. | 80,000 | ||
| To Z's Capital a/c | 80,000 | |||
| (Being capital brought in by Z) | ||||
| 2. | Z's Capital a/c Dr. | 25,000 | ||
| To X's Capital a/c |
12,500 |
|||
| To Y's Capital a/c | 12,500 | |||
| (Being Z's share of goodwill distributed among the partners in the ratio of 1: 1) | ||||
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