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प्रश्न
The cost of a machine is ₹ 2,50,000. It depreciates at the rate of 4% per annum. Find the cost of the machine after three years.
बेरीज
उत्तर
Here, P = Cost of the machine = ₹ 2,50,000
R = Rate of depreciation = 4%
N = 3 Years
A = Depreciated price of the machine
A = `"P"[1 + "R"/100]^"n"`
= `250000[1 + ((-4))/100]^3`
= `250000[1 - 4/100]^3`
= `250000[(100 - 4)/100]^3`
= `250000[96/100]^3`
= `250000[(24 xx 4)/(25 xx 4)]^3`
= `250000[24/25]^3`
= `250000 xx 24/25 xx 24/25 xx 24/25`
= `16 xx 24 xx 24 xx 24`
= ₹ 2,21,184
∴ The cost of the machine after three years will be Rs 2,21,184.
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