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Question 1
1. Mphoreng Industries is considering replacing its existing machine, which was purchased
three years ago at a cost of R1 million. The machine is depreciated at 30% per annum and can
be sold today at R900 000. The new machine will cost R700 000 with R20 000 installation cost
and R5 000 transportation costs. The use of the new machine will decrease the working capital
with R8 000. Assume a 40% capital gains tax per annum.
1.1. Calculate the book value of the existing machine. Show all calculations.
Step 1: Calculate annual depreciation
The annual depreciation is:
Annual Depreciation = Cost of Machine × Depreciation Rate
Annual Depreciation = 1,000,000 × 30% = R300,000
Step 2: Calculate total depreciation over 3 years
The total depreciation over 3 years is:
Total Depreciation = Annual Depreciation × Number of Years
Total Depreciation = 300,000 × 3 = R900,000
Step 3: Calculate the book value
The book value is the original cost minus the total depreciation:
Book Value = Cost of Machine- Total Depreciation
Book Value = 1,000,000- 900,000 = R100,000
Final Answer:
The book value of the existing machine is R100,000.