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प्रश्न
The present value of some equipment in a firm is ₹ 1,09,350. If the rate of depreciation is 10% p.a., how many years ago was its value ₹ 1,50,000?
योग
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उत्तर
Given:
Present value = ₹ 109350
Rate of depreciation = 10% p.a.
Value of the equipment n years ago = ₹ 150000
Present value = Value of an article n years ago `(1 - r/100)^n`, where r is the rate of depreciation and n is the number of years.
∴ `150000(1 - 10/100)^n = 109350`
⇒ `(9/10)^n = 729/1000`
⇒ `(9/10)^n = (9/10)^3`
⇒ `n = 3`
Hence, the value of machine was ₹ 150000 three years ago.
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