Cost of machine Rs.135000 Residual value Rs. 5000Useful life 10 years ...
Calculation of Depreciation for the first five years on straight-line method
The formula for straight-line depreciation is:
Depreciation per year = (Cost of the asset - Residual value) / Useful life
So, depreciation per year = (135,000 - 5,000) / 10 = Rs. 13,000
Depreciation charged for the first five years = Depreciation per year x Number of years = 13,000 x 5 = Rs. 65,000
Review of useful life and calculation of depreciation for the 6th year
New useful life = 10 + 8 = 18 years
Remaining useful life in the 6th year = 18 - 5 = 13 years
Depreciation per year = (Cost of the asset - Residual value) / Useful life = (135,000 - 5,000) / 18 = Rs. 7,500
Depreciation charged in the 6th year = Depreciation per year x Remaining useful life = 7,500 x 13 = Rs. 97,500
Depreciation charged in the 6th year on reducing balance method = (Cost of the asset - Accumulated depreciation) x Depreciation rate
Depreciation rate = 1 / Useful life = 1 / 18 = 0.0556
Accumulated depreciation at the end of the 5th year = Rs. 65,000
Cost of the asset - Accumulated depreciation = 135,000 - 65,000 = Rs. 70,000
Depreciation charged in the 6th year on reducing balance method = 70,000 x 0.0556 = Rs. 3,888
Depreciation charged in the 6th year on written down value method = Rs. 97,500 - Rs. 3,888 = Rs. 93,612
Therefore, the amount of depreciation charged in the 6th year is Rs. 93,612, which is closest to option (b) Rs. 8,125.
Cost of machine Rs.135000 Residual value Rs. 5000Useful life 10 years ...
Till the 5th year the company has already charged Rs13,000 as the depreciation on the machine. so the remaining value of machine would be (130000-65000) = 65000
from the 6th year we're assuming that the machine would work fof another 8 years so,
dep = 65000/8 = rs 8125
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