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The value of a machine depreciates at a rate of 10% every year. It was purchased 3 years ago. Its present value is Rs.2,18,700/-. What was the purchase price of the machine? - Mathematics and Statistics

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Question

The value of a machine depreciates at a rate of 10% every year. It was purchased 3 years ago. Its present value is Rs.2,18,700/-. What was the purchase price of the machine?

Sum
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Solution

Given, the rate of depreciation per annum = r = 10%

Number of years = n = 3

Present value of the machine = P.V.

= ₹ 2,18,700/-

∴ Purchase price of the machine

= P.V ÷ `(1 - "r"/100)^"n"`

= `2,18,700 ÷ (1 - 10/100)^3`

= `2,18,700 ÷ ((9^3)/(10^3))`

= `(2,18,700 xx 1000)/729`

= 3,00,000

∴ The purchase price of the machine is ₹ 3,00,000.

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Chapter 9: Commercial Mathematics - Exercise 9.4 [Page 132]

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