Question

A scooter was bought at $Rs.42000$ and its value depreciated at the rate of $8\%$ per annum. Find its value after one year.

• A. Rs. 34820
• B. Rs. 38640
• C. Rs. 31830
• D. Rs. 33650

Answer 1

The correct option is B $Rs.38640$

$P=$ value after $n$ years

Let, $P_0=$ Purchase price

Rate $=8\%$

Using $P=P_0{(1-\frac{r}{100})}^n$ to find the depreciated value.

$P=42000\times [1-\frac{8}{100}{]}^1$ (here $n=1$ )

$P=42000\times \left[\frac{100-8}{100}\right]$

$P=420\times 92$

$P=Rs.38640$
The value of scooter after one year will be $Rs.38640$