Question

the value of a two wheeler depreciated at the rate of 10% per year , if it's present value is rs 40000, then find it's value after 2 years? ​

Answer 1

Answer:

• Present Value of two wheeler = Rs. 40000
• Depreciation Rate = 10%
• Value after 2 year = ?

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\Longrightarrow\sf Value=Present \times (100- Depreciation\%)^2\\\\\\:\Longrightarrow\sf Value=40000 \times (100- 10\%)^2\\\\\\:\Longrightarrow\sf Value=40000 \times (90\%)^2\\\\\\:\Longrightarrow\sf Value=40000 \times 90\% \times 90\%\\\\\\:\Longrightarrow\sf Value=40000 \times \dfrac{90}{100} \times \dfrac{90}{100}\\\\\\:\Longrightarrow\sf Value=4 \times 90 \times 90\\\\\\:\Longrightarrow\sf Value=Rs.\:32400$

⠀

$\therefore\:\underline{\textsf{Value after two years will be \textbf{Rs. 32,400}}}.$