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Question

Original cost = Rs. 1,26000
Salvage Value = Rs. 6,000
Useful life= 6year
What will be the book value of the asset as at the beginning of fourth year (Under sum of year's digits method)

A
Rs. 1,03,143
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B
Rs. 40,286
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C
Rs. 45,987
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D
Rs. 99,256
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Solution

The correct option is C Rs. 40,286
Value of asset at the beginning of 4th year:-
= Original cost - depreciation for 3 years
= 1,26,000 - (32,286 + 28,571 + 22,857)
= RS-40,286.

Working notes:-
Sum of the years = 6 + 5 + 4 + 3 + 2 + 1
= 21
Depreciable amount = 1,26,000

Depreciation for 1st year :-
Depreciation = depreciable amount x no. of years remaining
-----------------------------------------------------------------
sum of years
= 1,20,000 x 6
-------------------
21
= RS-32,286.
Depreciation for 2nd year :-
Depreciation = 1,20,000 x 5
---------------------
21
= RS-28,571.
Depreciation for 3rd year :-
Depreciation = 1,20,000 x 4
-------------------
21
= RS-22,857.


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