Question

A machine depreciates each year at 8% of its value in the beginning of the year. If its value
be 57500 at the end of the year 2015, find :
(1) its value at the end of the year 2014, (ii) its value at the end of the year 2016.​

Answer 1

Step-by-step explanation:

value of machine at the end of year 2014= 57500+8%of 57500

=57500+8/100*57500

=57500+4600

= Rs. 62100

value of machine at the end of year 2016=57500-8%of 57500

=57500-8/100*57500

=57500-4600

= Rs. 52900

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Answer 2

Its value at the end of the year 2016 is Rs.52900

Its value at the end of the year 2014 is Rs.62500

Step-by-step explanation:

Let the value of machine at the end of 2014 be x

We are given that A machine depreciates each year at 8% of its value in the beginning of the year.

So, Value of machine in 2015 = $x-8\%x = x-0.08x=0.92x$

We are given that its value  be 57500 at the end of the year 2015.

So, $0.92x = 57500$

$x=62500$

So,  its value at the end of the year 2016.​ = 57500-8\%57500 =57500 -0.08(57500 )=52900

So,its value at the end of the year 2016 is Rs.52900

Its value at the end of the year 2014 is Rs.62500

#Learn more:

The cost of a machine is supposed to the depreciate each year by 12% of its value at the beginning of the Year if the machine is valued at 44000 Rupees at the beginning of 2008 find its value:

i. at the end of 2009.

ii. at the beginning of 2007.

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