## Answers

i] | Depreciation per year = (150000-12000)/5 = | $ 27,600 | ||||

Year | Beginning Book Value | Depreciation for the Year | Accumulated Depreciation | Ending Book Value | ||

1 | $ 1,50,000 | $ 27,600 | $ 27,600 | $ 1,22,400 | ||

2 | $ 1,22,400 | $ 27,600 | $ 55,200 | $ 94,800 | ||

3 | $ 94,800 | $ 27,600 | $ 82,800 | $ 67,200 | ||

4 | $ 67,200 | $ 27,600 | $ 1,10,400 | $ 39,600 | ||

5 | $ 39,600 | $ 27,600 | $ 1,38,000 | $ 12,000 | ||

Total | $ 1,38,000 | |||||

ii] | Rate = 1 - (Scrap / Cost of Machine)1/Years | |||||

= 1-(12000/150000)^(1/5) = | 39.66% | |||||

Year | Beginning Book Value | Depreciation for the Year | Accumulated Depreciation | Ending Book Value | ||

1 | $ 1,50,000 | $ 59,490 | $ 59,490 | $ 90,510 | ||

2 | $ 90,510 | $ 35,896 | $ 95,386 | $ 54,614 | ||

3 | $ 54,614 | $ 21,660 | $ 1,17,046 | $ 32,954 | ||

4 | $ 32,954 | $ 13,070 | $ 1,30,116 | $ 19,884 | ||

5 | $ 19,884 | $ 7,884 | $ 1,38,000 | $ 12,000 | ||

Total | $ 1,38,000 | |||||

iii] | Rate of depreciation = (100%/5)*2 = 40%. | |||||

Year | Beginning Book Value | Depreciation for the Year | Accumulated Depreciation | Ending Book Value | ||

1 | $ 1,50,000 | $ 60,000 | $ 60,000 | $ 90,000 | ||

2 | $ 90,000 | $ 36,000 | $ 96,000 | $ 54,000 | ||

3 | $ 54,000 | $ 21,600 | $ 1,17,600 | $ 32,400 | ||

4 | $ 32,400 | $ 12,960 | $ 1,30,560 | $ 19,440 | ||

5 | $ 19,440 | $ 7,440 | $ 1,38,000 | $ 12,000 | ||

Total | $ 1,38,000 | |||||

iv] | Rate of depreciation per hour = (150000-12000)/12000 = | $ 11.50 | ||||

Rounded off to $11.50 per unit. | ||||||

The depreciation schedule will look as below: | ||||||

Year | Beginning Book Value | Hours used | Depreciation for the Year [Units produced * $11.50] | Accumulated Depreciation | Ending Book Value | |

1 | $ 1,50,000 | $ 3,600 | $ 41,400 | $ 41,400 | $ 1,08,600 | |

2 | $ 1,08,600 | $ 2,800 | $ 32,200 | $ 73,600 | $ 76,400 | |

3 | $ 76,400 | $ 2,200 | $ 25,300 | $ 98,900 | $ 51,100 | |

4 | $ 51,100 | $ 2,000 | $ 23,000 | $ 1,21,900 | $ 28,100 | |

5 | ||||||

Total | 10600 | $ 1,21,900.00 | ||||

v] | Year | Beginning Book Value | Depreciation Factor | Depreciation for the Year | Accumulated Depreciation | Ending Book Value |

1 | $ 1,50,000 | 33.33% | $ 46,000 | $ 46,000 | $ 1,04,000 | |

2 | $ 1,04,000 | 26.67% | $ 36,800 | $ 82,800 | $ 67,200 | |

3 | $ 67,200 | 20.00% | $ 27,600 | $ 1,10,400 | $ 39,600 | |

4 | $ 39,600 | 13.33% | $ 18,400 | $ 1,28,800 | $ 21,200 | |

5 | $ 21,200 | 6.67% | $ 9,200 | $ 1,38,000 | $ 12,000 | |

Total | $ 1,38,000 | |||||

Factor for 1st year = 5/15 = 33.33% | ||||||

For 2nd year = 4/15 = 26.67% | ||||||

15 = the sum of the digits of the years = 1+2+3+4+5 = 15 | ||||||

Depreciation = 138000*Factor. |

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