Q.A machine costing ₹1,00,000 has an estimated life of 4 years and a scrap value of ₹20,000. Compare the depreciation charged and the closing book value at the end of Year 1 and Year 2 under
(a) Straight Line Method: Annual depreciation = (1,00,000 − 20,000) ÷ 4 = 80,000 ÷ 4 = ₹20,000, identical every year.
| Year | Depreciation (₹) | Book value at end (₹) |
|---|---|---|
| 1 | 20,000 | 80,000 |
| 2 | 20,000 | 60,000 |
(b) Written Down Value Method @ 25%:
| Year | Book value at start (₹) | Depreciation @ 25% (₹) | Book value at end (₹) |
|---|---|---|---|
| 1 | 1,00,000 | 25,000 | 75,000 |
| 2 | 75,000 | 18,750 | 56,250 |
Comparing the two: in Year 1, WDV charges a HIGHER depreciation (₹25,000) than SLM (₹20,000), because 25% of the full original cost still exceeds the flat SLM figure at this early stage. By Year 2, WDV charges a LOWER amount (₹18,750) than SLM's unchanging ₹20,000, since the WDV base has by then shrunk. Over the two years combined, WDV's cumulative depreciation (25,000 + 18,750 = 43,750) exceeds SLM's cumulative depreciation (20,000 + 20,000 = 40,000), so WDV leaves a LOWER closing book value (56,250) than SLM (60,000) at the end of Year 2 — this particular gap depends on the specific rate and life chosen, and will not be identical for every combination of figures.
SLM: ₹20,000 depreciation each year (book value ₹80,000, then ₹60,000). WDV: ₹25,000 then ₹18,750 (book value ₹75,000, then ₹56,250) — WDV front-loads more depreciation into the early years, leaving a lower book value than SLM by the end of Year 2 in this example.
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