To calculate the accumulated depreciation using the reducing balance method at 20% per annum, let's break the problem down step by step.

Step 1: Depreciation for the first year (1 October 2021 to 28 February 2022)

Since the truck was purchased on 1 October 2021, the first year of depreciation will be for a partial period (5 months: October to February).

• Annual depreciation = $150,000 \times 20\% = 30,000$
• Depreciation for 5 months (October to February) = $\frac{5}{12} \times 30,000 = 12,500$

So, the depreciation for the first year is R12,500.

Step 2: Book value after the first year

Book value at 28 February 2022:

• $150,000 - 12,500 = 137,500$

Step 3: Depreciation for the second year (1 March 2022 to 28 February 2023)

Now, we calculate depreciation for the full second year using the reducing balance method on the book value after the first year.

• Annual depreciation = $137,500 \times 20\% = 27,500$

Step 4: Total accumulated depreciation at 28 February 2023

Accumulated depreciation is the sum of depreciation for both periods:

• First-year depreciation: R12,500
• Second-year depreciation: R27,500

Thus, total accumulated depreciation = $12,500 + 27,500 = 40,000$

Final Answer:

The accumulated depreciation of the delivery truck at 28 February 2023 is R40,000, which corresponds to option d.

Would you like more details or have any questions?

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Here are 5 related questions for further practice:

1. How would the accumulated depreciation differ if the rate was 15% instead of 20%?
2. How do you calculate depreciation if the method used is straight-line instead of reducing balance?
3. What is the book value of the truck at the end of February 2023?
4. How would depreciation be recorded for tax purposes using different methods?
5. How do you calculate the residual value when using the reducing balance method?

Tip: When using the reducing balance method, always apply the depreciation rate to the book value after previous depreciation deductions, not the original cost!