1. **Problem Statement:**
We need to record transactions related to machinery for Emantimandze Ltd for the year ended 31 August 2020, including purchases, sales, and depreciation using the diminishing balance method at 10% per year.
2. **Formulas and Rules:**
- Depreciation (diminishing balance) = Book value at start of period \times Depreciation rate
- Machinery cost includes purchase price + carriage + installation
- When selling machinery, remove cost and accumulated depreciation, record sale proceeds, and calculate gain/loss.
3. **Step-by-step Ledger Entries:**
**i. Machinery Account:**
- Opening balance (1 Sept 2019): SZL 250,000
- Add purchase (1 Dec 2019): SZL 80,000 + SZL 10,000 (carriage) + SZL 5,000 (installation) = SZL 95,000
- Remove cost of sold machine (purchased 1 Mar 2017 for SZL 60,000) on 1 June 2020
Machinery account summary:
- Debit: 250,000 (opening) + 95,000 (purchase)
- Credit: 60,000 (sale)
- Closing balance = 250,000 + 95,000 - 60,000 = SZL 285,000
**ii. Accumulated Depreciation Account:**
- Opening balance: SZL 65,000
- Depreciation for old machinery (before sale): Calculate depreciation from 1 Sept 2019 to 1 June 2020 (9 months)
- Depreciation for new machinery: from 1 Dec 2019 to 31 Aug 2020 (9 months)
- Remove accumulated depreciation of sold machine
Calculate depreciation:
- Old machinery book value before sale: SZL 60,000
- Depreciation rate: 10% per year diminishing balance
- Depreciation for 9 months = SZL 60,000 \times 10% \times \frac{9}{12} = SZL 4,500
- Accumulated depreciation on sold machine at sale = original accumulated depreciation + depreciation for 9 months
- Remove accumulated depreciation of sold machine (assumed to be SZL 60,000 \times 10% \times 3 years approx SZL 18,000 + 4,500 = SZL 22,500)
- Depreciation on remaining machinery (250,000 - 60,000 + 95,000 = 285,000) for full year:
- For simplicity, calculate depreciation on opening balance and new purchase separately:
- Opening machinery (excluding sold): 250,000 - 60,000 = 190,000
- Depreciation on 190,000 for full year = 190,000 \times 10% = 19,000
- Depreciation on new machine (95,000) for 9 months = 95,000 \times 10% \times \frac{9}{12} = 7,125
- Total depreciation = 4,500 (old machine before sale) + 19,000 + 7,125 = 30,625
- Closing accumulated depreciation = 65,000 + 30,625 - 22,500 = SZL 73,125
**iii. Depreciation Account:**
- Total depreciation expense for the year = SZL 30,625
**iv. Machinery Disposal Account:**
- Sale proceeds: SZL 43,000
- Book value of sold machine = SZL 60,000 - accumulated depreciation (assumed SZL 22,500) = SZL 37,500
- Gain on sale = Sale proceeds - Book value = 43,000 - 37,500 = SZL 5,500
4. **Statement of Financial Position as at 31 August 2020:**
- Machinery at cost: SZL 285,000
- Less: Accumulated depreciation: SZL 73,125
- Net book value: SZL 211,875
**Final answers:**
- Machinery account closing balance: SZL 285,000
- Accumulated depreciation closing balance: SZL 73,125
- Depreciation expense: SZL 30,625
- Gain on disposal: SZL 5,500
- Net machinery value in Statement of Financial Position: SZL 211,875
Machinery Accounting A02592
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