Question

a second hand motor cycle ispriced at rupees 55016. after 2years with 8% depreciation peryears. find its original price​

Answer 1

Answer:

The answer is 65000

Step-by-step explanation:

Price of motor cycle after depreciation =Rs.55016  

given time period t = 2 years

Rate of depreciation r = 8%

Here we need to find original price of motor cycle  

Let x be the original price of motor cycle  

now we need to find decreased price at rate of 8% for 2 years  

              = $x( 1- \frac{r}{100})^{t}$      

              = $x( 1- \frac{8}{100})^{2}$

              =  $x( \frac{100-8}{100})^{2}$

              =  $x( \frac{92}{100})^{2}$ = x(0.8464) which is equals to 55016

⇒   x(0.8464) = 55016

      x = 55016/0.8464 = 65000

⇒  Original price = 65000