the cost of the scooter depreciates every year by 15% of its value at the beginning of the year .If the present cost of the scooter is Rs 8000, find its cost: 1. after one year 2. after two year

Dear Student,

$$\begin{gathered} Present \cos t of scooter = P = Rs. 8,000; rate of depreciation = r = 15\% \\ When time period = n = 1 year, \\ Cost after one year = P{\left(1 - \frac{r}{100}\right)}^n = 8000{\left(1 - \frac{15}{100}\right)}^1 = 8000 \times \frac{85}{100} = \boxed{\mathbf{R}\mathbf{s}\mathbf{.}\mathbf{ }\mathbf{6}\mathbf{,}\mathbf{800}} \\ When time period = n = 2 years, \\ Cost after 2 years = P\left(1 - \frac{r}{100}\right) = 8000{\left(1 - \frac{15}{100}\right)}^2 = 8000 \times \frac{85}{100} \times \frac{85}{100} = \boxed{\mathbf{R}\mathbf{s}\mathbf{.}\mathbf{ }\mathbf{5}\mathbf{,}\mathbf{780}} \end{gathered}$$

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