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Mohan Purchased a House for Rs 30000 and Its Value is Depreciating at the Rate of 25% per Year. Find the Value of the House After 3 Years.

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Question

Mohan purchased a house for Rs 30000 and its value is depreciating at the rate of 25% per year. Find the value of the house after 3 years.

Sum
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Solution

Value of the house after three years = P \[\left( 1 - \frac{R}{100} \right)^n \]
\[ \Rightarrow 30, 000 \left( 1 - \frac{25}{100} \right)^3 \]
\[ = 30, 000 \left( 0 . 75 \right)^3 \]
\[ = 12, 656 . 25\]
Thus, the value of the house after three years will be Rs 12, 656.25.
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