the cost of machine depriciates by rs 4000 in the first year amd rs 3600 in the second year.calculate the original cost,rate of depriciation,cost at the end of the third year.
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Step-by-step explanation:
MATHS
The cost of a machine depreciated by Rs. 4,000 during the first year and by Rs. 3,600 during the second year. Calculate its cost at the end of the third year
December 26, 2019avatar
Pavani Relangi
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ANSWER
Difference between depreciation of 1st year and 2nd year=4000−3600=Rs.400
⇒Depreciation of one year on Rs.4000=Rs.400
⇒Rate of depreciation =
4000
400×100
=10%
Let the original cost of the machine be Rs100
∴Value after one year=Rs.100−10%of100=100−
100
10
×100=Rs.90
Depreciation during second year=10% of 90=
100
10
×90=Rs.9
When depreciation during second year is Rs. 9 then original cost=Rs.100
When Depreciation during the second year is Rs.3600 then original cost=
9
100
×3600=Rs.40000
Cost of the machine after one year=40000−4000=Rs.36000
Cost of the machine after second year=36000−3600=Rs.32400
∴Depreciation in third year=10%of 32400=
100
10
×32400=Rs.3240
Cost of the machine after third year=32400−3240=Rs.29160