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प्रश्न
Grace Fashion Boutique purchased a sewing machine at Rs.25,000/-. After 3 years machine was sold at a depreciated value Rs.18,225/- Find the rate of depreciation.
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उत्तर
Given, purchase price of sewing machine = V = ₹ 25,000/-
Selling price of machine = D.V. = ₹ 18,225/-
Number of years = n = 3 years
By using, D.V. = V`(1 - "r"/100)^"n"`
18,225 = 25,000`(1 - "r"/100)^3`
`(1 - "r"/100)^3 = (18,225)/(25,000) = 729/1000 = (9/10)^3`
`(100 - "r")/100 = 9/10`
∴ 100 – r = 90
∴ r = 10%
∴ The rate of depreciation is 10% per annum.
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