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.
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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
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