A piece of equipment cost a certain factory
1000000. If it depreciates in value, 2% every
year then its value at the end of 10 years, all
percentages apply
(1) 18,20,000
percentages applying to the original cost, is
nited
(2) 80,00,000
(3) 378,80,000
(4) 70,20,000
Answers
Answered by
1
Correct option is
B
Rs 1,05,000
Let the cost of an equipment is Rs. 100.
Now the percentages of depreciation at the end of 1st,2nd,3rd years are 15,13.5,12, which are in A.P., with a=15 and d=−1.5.
Hence, percentage of depreciation in the tenth year =a+(10−1)d=15+9(−1.5)=1.5
Also total value depreciated in 10 years=15+13.5+12+...+1.5=82.5
Hence, the value of equipment at the end of 10 years=100−82.5=17.5.
The total cost being Rs. 6,00,000/100×17.5=Rs.1,05,000.
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