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The Value of a Refrigerator Which Was Purchased 2 Years Ago, Depreciates at 12% per Annum. If Its Present Value is Rs 9680, for How Much Was It Purchased?

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Question

The value of a refrigerator which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs 9680, for how much was it purchased?

Sum
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Solution

Purchase price = P \[\left( 1 - \frac{R}{100} \right)^{- n} \]
\[ \Rightarrow 9, 680 \left( 1 - \frac{12}{100} \right)^{- 2} \]
\[ = 9, 680 \left( 0 . 88 \right)^{- 2} \]
 = 12, 500
Thus, the purchase price of the refrigerator was Rs 12, 500.

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