Question

The price of a machine depreciates at the rate of r% per annum. Calculate the price of the machine that was n years before.​

Answer 1

Answer:

Step-by-step explanation:

We know that

Final price = initial price(1+  

100

rate

​

)  

time

 

Here the final price = Rs. 8784, time =3 yrs, rate =−10%p.a.

The rate is negative since the price is depriciating.

Let the initial price = Rs. x.

∴x×(1−  

100

10

​

)  

3

=8748

⇒x×  

10

9

​

×  

10

9

​

×  

10

9

​

=8748

⇒x=8748×  

9

10

​

×  

9

10

​

×  

9

10

​

= Rs. 12000

So, the price of the machine 3 years back = Rs. 12000.

Ans- Option C.