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Question
X and Y were partners sharing profits and losses in the ratio of 2 : 1 respectively. The following was their balance sheet as at 31st March, 2024:
| Liabilities | Amount (₹) | Assets | Amount (₹) |
| Creditors | 80,000 | Machinery | 5,00,000 |
| Outstanding Expenses | 20,000 | Stock | 4,00,000 |
| X’s Capital | 7,20,000 | Debtors | 3,50,000 |
| Y’s Capital | 4,80,000 | Prepaid Expenses | 10,000 |
| Bank Balance | 40,000 | ||
| 13,00,000 | 13,00,000 |
On 1st April, 2024, Z was admitted to the firm on the following terms:
- Z would provide ₹ 5,00,000 as his capital and pay ₹ 30,000 as goodwill for his one-third share in future profits.
- X, Y and Z would share profits equally.
- Assets are to be revalued as:
Stock at 20% less; Debtors ₹ 3,20,000; Machinery ₹ 4,50,000; Prepaid Expenses - Nil. - Outstanding Expenses were estimated at ₹ 40,000.
- A credit purchase of goods for ₹ 30,000 had been omitted from the books, although the goods have been included in stock.
- Creditors include a contingent liability of ₹ 50,000, which has been decided by the court at ₹ 40,000.
- Capital accounts of old partners would be adjusted in the profit-sharing ratio on the basis of Z’s capital by bringing in or taking out cash.
Pass necessary journal entries and prepare partners’ capital accounts and the balance sheet of the new firm.
Hints:
- Credit purchase will be shown on the Debit of Revaluation Ale and will also be added in Creditors.
- ₹ 10,000 in respect of contingent liability will be shown on the Cr. of the Revaluation A/c and will also be deducted from Creditors.
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Solution
| Date | Particulars | L.F. | Debit (₹) | Credit (₹) |
| Bank A/c ...Dr. | 5,30,000 | |||
| To Z’s Capital A/c | 5,00,000 | |||
| To Goodwill (Premium) A/c | 30,000 | |||
| (Capital and premium for goodwill brought in by Z) | ||||
| Premium for Goodwill A/c ...Dr. | 30,000 | |||
| To X’s Capital A/c | 20,000 | |||
| To Y’s Capital A/c | 10,000 | |||
| (Goodwill distributed to old partners in sacrificing ratio of 2 : 1) | ||||
| Premium for Goodwill A/c ...Dr. | 30,000 | |||
| To X’s Capital A/c | 30,000 | |||
| (Goodwill distributed to X, the sacrificing partner) | ||||
| Revaluation A/c ...Dr. | 2,40,000 | |||
| To Stock A/c | 80,000 | |||
| To Debtors A/c | 30,000 | |||
| To Machinery A/c | 70,000 | |||
| To Prepaid Expenses A/c | 10,000 | |||
| To Outstanding Expenses A/c ...Dr. | 20,000 | |||
| To Creditors A/c | 30,000 | |||
| (Assets revalued and liabilities reassessed) | ||||
| Creditors A/c ...Dr. | 10,000 | |||
| To Revaluation A/c | 10,000 | |||
| (Reduction in contingent liability) | ||||
| X’s Capital A/c ...Dr. | 1,40,000 | |||
| Y’s Capital A/c ...Dr. | 70,000 | |||
| To Revaluation A/c | 2,10,000 | |||
| (Loss on revaluation transferred to partners’ capital accounts in old ratio) | ||||
| X’s Capital A/c ...Dr. | 1,10,000 | |||
| To Bank A/c | 1,10,000 | |||
| (Excess capital withdrawn by X) | ||||
| Bank A/c ...Dr. | 90,000 | |||
| To Y’s Capital A/c | 90,000 | |||
| (Deficit capital brought in by Y) |
| Dr. |
Partners’ Capital Accounts
|
Cr. | |||||
| Particulars | X (₹) | Y (₹) | Z (₹) | Particulars | X (₹) | Y (₹) | Z (₹) |
| To Revaluation A/c | 1,40,000 | 70,000 | By Balance b/d | 7,20,000 | 4,80,000 | ||
| To Bank A/c | 1,10,000 | By Bank A/c (Z’s Capital) | 5,00,000 | ||||
| To Balance c/d | 5,00,000 | 5,00,000 | 5,00,000 | By Bank A/c (Y’s contribution) | 90,000 | ||
| By Goodwill (Premium) A/c | 30,000 | ||||||
| 7,50,000 | 5,70,000 | 5,00,000 | 7,50,000 | 5,70,000 | 5,00,000 | ||
|
Balance Sheet as at 1st April, 2024
|
|||||
| Liabilities | Amount (₹) | Amount (₹) | Assets | Amount (₹) | Amount (₹) |
| Creditors | 80,000 | 1,00,000 | Machinery | 4,50,000 | |
| Add: Omitted Purchase | 30,000 | ||||
| Less: Contingent Liability | 10,000 | ||||
| Outstanding Expenses | 40,000 | Stock | 3,20,000 | ||
| Capitals: | 15,00,000 | Debtors | 3,20,000 | ||
| X | 5,00,000 | Prepaid Expenses | Nil | ||
| Y | 5,00,000 | Bank Balance | 5,50,000 | ||
| Z | 5,00,000 | ||||
| 16,40,000 | 16,40,000 | ||||
Working Note:
Calculation of Sacrificing Ratio:
Old Ratio of X and Y = 2 : 1
New Ratio of X, Y and Z = 1 : 1 : 1
Sacrificing Ratio = Old Ratio − New Ratio
X = `2/3 -1/3`
= `1/3`
Y = `1/3 - 1/3`
= 0
Calculations for Adjustments:
X’s balance before adjustment = Opening Balance + Goodwill − Loss on Revaluation
= 7,20,000 + 30,000 − 1,40,000
= ₹ 6,10,000
New required capital = ₹ 5,00,000.
X needs to withdraw = 6,10,000 − 5,00,000
= ₹ 1,10,000
Y’s balance before adjustment = Opening Balance + Goodwill − Loss on Revaluation
= 4,80,000 + 0 − 70,000
= ₹ 4,10,000
New required capital = ₹ 5,00,000.
X needs to withdraw = 5,00,000 − 4,10,000
= ₹ 90,000
Bank Balance = Original Bank Balance + Z’s capital + goodwill + Y’s contribution − X’s withdrawal
= 40,000 + 5,00,000 + 30,000 + 90,000 − 1,10,000
= 5,50,000
Calculation of Loss on Revaluation:
Losses:
1. Stock at 20% less:
= `4,00,000 xx 20/100`
= 80,000
2. Debtors Revalued at ₹ 3,20,000:
= 3,50,000 − 3,20,000
= ₹ 30,000
Prepaid Expenses (Nil) = ₹ 10,000
Outstanding Expenses Estimated at ₹ 40,000:
= 40,000 − 20,000
= ₹ 20,000
Credit Purchase omitted = ₹ 30,000
Machinery Revalued at ₹ 4,50,000:
= 5,00,000 − 4,50,000
= ₹ 50,000
Total Losses = ₹ 80,000 + ₹ 30,000 + ₹ 10,000 + ₹ 20,000 + ₹ 30,000 + ₹ 50,000
= ₹ 2,20,000
Gains:
Contingent Liability Reduced by ₹ 10,000 = 50,000 − 40,000
= 10,000
Net Loss on Revaluation = 2,20,000 − ₹10,000
= ₹ 2,10,000
Distribution of Loss:
X’s share = `2,10,000 xx 2/3`
= 1,40,000
Y’s share = `2,10,000 xx 1/3`
= 70,000
