Question

the value of an old brass was depreciates at 10% per annum if the present value is 5000 find the time after which its value will be reduced to 3645.​

Answer 1

Answer :

3 year

Step-by-step explanation:

Let, the time taken be x year.

price after x year = P ( 1 - R/100)^x

⇒ 3645 = 5000 ( 1 - 10/100)^x

⇒ 3645 = 5000 ( 90/100)^x

⇒ 3645 = 5000 × 0.9^x

⇒ 3645/5000 = 0.9^x

⇒ 0.729 = 0.9^x

⇒ 0.9 × 0.9 × 0.9 = 0.9^x

⇒ 0.9³ = 0.9^x

⇒ 3 = x