Question

3. The machinery of a certain factory is valued at
**18,400 at the end of 1980. If it is supposed to
depreciate each year at 8% of the value at the
beginning of the year, calculate the value of the
machine at the end of 1979 and 1981. (ICSE)​

Answer 1

Answer:

The value of the machine at the end of 1979 is Rs.20000. and the value of the machine at the end of 1981 is Rs.16928

Step-by-step explanation:

Let x be the value of machinery in the end of 1979

We are given that it is supposed to depreciate each year at 8%

So, Value of machinery after 1 year i.e. in 1980 =  x-8/100*x

We are given that machinery of a certain factory is valued at Rs.18400 at end of 1980.

 x-8/100*x=18400

92/100*x=18400

x=18400* 92/100

x=20000

So, the value of the machine at the end of 1979 is Rs.20000.

18400-8/100*18400=16928

Value of machine in 1980 = 18400

Value of machine after 1 year i.e. at th end of 1981 =  

Hence the value of the machine at the end of 1979 is Rs.20000. and the value of the machine at the end of 1981 is Rs.16928

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