Question

a machine depreciated in such a way that its value at the end of the year is 90% of its value at the beginning of the year. the cost of the machinery is Rs. 48.000 and it is annually sold as waste material of Rs 18,000 . find the number of years the machine is used​

Answer 1

Answer:

it is used for 6 years. mark me as brainliest and follow me and thank me

Answer 2

Answer:

9.2years

Step-by-step explanation:

Vo = 48000

Vn = 18000

r = 100 - 90 = 10

n = ?

Vn = Vo ( 1 - r/100 )^n

18000 = 48000 ( 1 - 10 / 100 ) ^ n

18000 / 48000 = ( 9 / 10 )^ n

9 / 24 = ( 9/10 ) ^ n

log 9 - log 24 = n ( log 9 - log 10 )

( since when no. is in divide then after puting log its become minus ) = ( when we put log power comes in front )

0.9542 - 1.3802 = n ( 0.9542 - 1 )

-0.426 = n (- 0.0458 )

n = 9.3 years

your ans can be 9.2 years also both are correct