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The Value of the Refrigerator Which Was Purchased 2 Years Ago, Depreciates at 12% per Annum. If Its Present Value is Rs 9,680. for How Much Was It Purchased? - Mathematics

Sum

The value of the refrigerator which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs 9,680. For how much was it purchased?

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Solution

Vn =Rs 9,680; V0 =?; r = 12% ; t = 2 years 

`"V"_"n" = "V"_0 (1 - "r"/100)^"n"`

Rs 9680 = V0 `(1 - 12/100)^2`

V= Rs `9680 xx 100/88 xx 100/88`

V0 = Rs 9, 680 x 1.136364 x 1.136364 

V0 =  Rs 12,500 

The refrigerator was purchased for Rs 12,500 

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APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 1 Compound Interest
Exercise 1.7 | Q 11 | Page 26
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