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प्रश्न
The value of the machine depreciates at the rate of 15% p.a. It was purchased 2 years ago. Its present value is Rs. 7225. What was the purchase price of the machine?
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उत्तर
Given,
Rate of depreciation = r = 15%
Number of years = n = 2 years.
Present value of machine = P.V. = ₹ 7,225
The purchase price (V) of the machine can be found out using
P.V. = V`(1 - "r"/100)^"n"`
∴ 7225 = V`(1 - 15/100)^2`
∴ V`((100 - 15)/100)^2 = 7225`
∴ V`(85/100)^2 = 7225`
∴ V`(17/20)^2 = 7225`
∴ V = `(7225 xx 20 xx 20)/(17 xx 17)`
∴ V = 10,000
∴ The purchase price of the machine was ₹ 10,000/-.
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