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A Machine Was Purchased 2 Years Ago. Its Value Decreases by 10% Every Year. Its Present Value is Rs 19,083.60. for How Much Money Was the Machine Purchased?

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प्रश्न

A machine was purchased 2 years ago. Its value decreases by 10% every year. Its present value is Rs 19,083.60. For how much money was the machine purchased?

योग
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उत्तर

Vn =Rs 19,083.60; V0 = ? ; r = 10 % ; t = 2 years 

`"V"_"n" = "V"_0  (1 + "r"/100)^"n"`

Rs 19,083.60 =`"V"_0 (1 - 10/100)^2` 

V0 = Rs `19083.60 xx 10/9 xx 10/9`

V0 = Rs 23560

The machine was purchased for Rs 23,560 i.e. Rs (23,560 - 19083.60) = Rs 4,476.40 more than the present value. 

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