Motor van ₦120,000, 40% diminishing balance: what is the depreciation charge for year two?

JAMB Accounting 2024 Medium 326 views
Verified explanation Source: JAMB · 2024 Reviewed 2026
Motor van (cost) 120000
Life span 4 years
rate of Depreciation 40%

Method of depreciation used is Diminishing Balance

The depreciation charge for year two is

  1. ₦10,370
  2. ₦17,280
  3. ₦28,800 ✓
  4. ₦48,000
ExplanationVerified

Under the diminishing balance method (also called reducing balance or written down value method), depreciation is calculated on the book value at the start of each year, not the original cost.

Year 1 calculation: Depreciation = Cost × Rate = ₦120,000 × 40% = ₦48,000. Book value at end of Year 1 = ₦120,000 – ₦48,000 = ₦72,000.

Year 2 calculation: Depreciation = Book Value × Rate = ₦72,000 × 40% = ₦28,800.

This method charges higher depreciation in early years when the asset is new and more productive, and lower amounts in later years. Each year, the depreciation amount reduces because it is calculated on a smaller book value. This differs from straight-line method which charges the same amount each year.

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