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Problem 11-7 Depletion; change in estimate (L011-3. 11-5) In 2018, the Marion Company purchased and containing a mineral mine

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In 2018 ' The Marion Company purchased land '
containing mineral mines amount to $        1,300,000
Additional cost incurred to develop mines $            493,000
Geologist expect mineral ore Ton            340,000
After ore extracted land resale value would be $            110,000
Additional structure cost ' $            117,300
Udeful life Years                     10
New equipment purchased and installed at site $              66,200
estimate that it could be sold @ auction $                5,000
In 2018 total ore extracted and sold Ton              44,000
in 2019 , total Ton of mineral revised from
340000 to 427500
in 2019 , total ore extarcted Ton              74,000
Sale in Ton              54,000

Depletion Vs Depreciation - First calculated depletion in 2018 and 2019 . please see below depletion amount in 2018 and 2019 as below :

Depletion - MINE

Solution Year 2018 Amnt($)
containing mineral mines amount to $        1,300,000
( Purchase Price)'
Add - Cost incurred further to develop            493,000
Total Cost        1,793,000
Less - Salvage value            110,000
Depreciable Cost        1,683,000 a
Numbe rof ton extracted as certified by- Ton            340,000 b
Geologist
depletion rate                        5 (a/b)=C
In 2018 total ore extracted and sold Ton              44,000 D
Depletion cost $            217,800 (C*D)
Year 2019 Amnt($)
Total cost as derived just above        1,793,000
Less depletion amount as calculated above 217800
Balance amount        1,575,200
Less - Salvage value            110,000
Depreciable Cost Balance        1,465,200 m
Extracted Ore after sold 44000 Ton
Balance Ton ( 427500-44000)== 383500 To'n 383500 n
Revised depletion rate                  3.82 (m/n)=p
in 2019 , total ore extarcted Ton              74,000 Q
Depletion amount $            282,724 (p*Q)

Depreciation STRUCTURE

Depreciation - 2018' Amount $
Additional structure cost               117,300 a
Numbe rof ton extracted as certified by- Ton               340,000 b
Depreciation rate - 2018' 0.345 (a/b)=C
In 2018 total ore extracted and sold Ton                 44,000 D
Depreciation cost relates 2018                 15,180 (c*d)'
Additional structure cost               117,300
Less - depreciation cost ( as above)'                 15,180
Balance depreciation cost               102,120 m
Balance Ton ( 427500-44000)== 383500 To'n 383500 n
Depreciation rate - 2019                      0.27 (m/n)=p
in 2019 , total ore extarcted Ton                 74,000 q
Depreciation cost'- 2019                 19,705 (p*q)
Depreciation - Equipment- 2018
Amount $
New equipment purchased and installed at site $                 66,200
Less - Salvage value                    5,000
Depreciable cost                 61,200 a
Numbe rof ton extracted as certified by- Ton               340,000 b
Depreciation rate 0.18 (a/b)=C
In 2018 total ore extracted and sold Ton                 44,000 D
Depreciation cost 2018                   7,920 (c*d)
Amount $
New equipment purchased and installed at site $                 66,200
less - depreciation 2018 as calculated above                    7,920
Balance amount                 58,280
Less - salvage value as above'                    5,000
Remaining value                 53,280 a
Balance Ton ( 427500-44000)== 383500 To'n 383500 b
revised depreciation rate - Equipment                      0.14 (a/b( =C
in 2019 , total ore extarcted Ton                 74,000 D
Depreciation cost 2019                 10,281 (C*D)

Book Value calculation - three sector based on above Number  

Mine' $ Structure $ Equipment $
Depletion/ Depreciation-A 2018        217,800        15,180           7,920
Depletion/ Depreciation-B 2019        282,724        19,705        10,281
total /Accumulated depreciation / depletion
(A+B)
       500,524        34,885        18,201
Original cost of Asset 1793000 117300 66200
Less
Accumulated depreciation/ Depletion- as above        500,524        34,885        18,201
Book Value     1,292,476        82,415        47,999
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