हिंदी

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?

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प्रश्न

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?

योग
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उत्तर

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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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Commercial Mathematics - Exercise 9.4 [पृष्ठ १३२]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 9 Commercial Mathematics
Exercise 9.4 | Q 3 | पृष्ठ १३२

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