Compound Depreciation

📉
Definition
Key Properties
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📉
VT
Value after T yrs
🏷️
V0
Initial Value
📊
R
Depreciation Rate %
T
Time (years)
Depreciated
V0 − VT
📉 compound depreciation formula
VT = V0 ( 1 R100 ) T
Depreciated Amount = V0 − VT
📌 Component Legend
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📦 Initial Value (V₀) — Rs.
1,00,000 Rs. · step ±10,000 · range 10k–5,00,000
📉 Depreciation Rate (R) — %
10% step ±1% · range 1%–50%
⏳ Time (T) — Years
5 yrs step ±1 year · range 1–20 yrs
📊 Result
Initial Value
Given = V0
Value After T yrs
VT = V0(1 − R100)T
Depreciated By
V0 − VT
Total Loss %
V0 − VTV0 × 100
Year-by-Year Bar Chart
Year-by-Year Breakdown Table
Value (Rs.) = V0(1 − R100)n  where n = year number
Dep. This Year = Valueprev − Valuecurrent = Valueprev × R100
Cumulative Loss = V0 − Valuecurrent
Year Value (Rs.)
V0(1−R100)n
Dep. This Year (Rs.)
Vprev × R100
Cumulative Loss (Rs.)
V0 − Valuen

Full question · given values · step-by-step solution · final answer.