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All questions of Chapter 5: Depreciation and Amortisation for CA Foundation Exam

Amit Ltd. purchased a machine on 01.01.2003 for Rs 1,20,000. Installation expenses were Rs 10,000. Residual value after 5 years Rs 5,000. On 01.07.2003, expenses for repairs were incurred to the extent of Rs 2,000. Depreciation is provided @ 10% p.a. under written down value method. Depreciation for the 4th year = ________.
  • a)
    25,000
  • b)
    10530
  • c)
    9,477
  • d)
    13,000
Correct answer is option 'D'. Can you explain this answer?

Arka Tiwari answered
Depreciation Calculation:

- Cost of the machine = Rs 1,20,000
- Installation expenses = Rs 10,000
- Total cost = Rs 1,30,000

Depreciation rate = 10% p.a.

- Depreciation for the first year = 10% of Rs 1,30,000 = Rs 13,000
- Depreciation for the second year = 10% of (Rs 1,30,000 - Rs 13,000) = Rs 11,700
- Depreciation for the third year = 10% of (Rs 1,30,000 - Rs 13,000 - Rs 11,700) = Rs 10,530
- Depreciation for the fourth year = 10% of (Rs 1,30,000 - Rs 13,000 - Rs 11,700 - Rs 10,530) = Rs 9,477

Therefore, the correct answer is option D.

 The W.D.V. of an asset after there years of depreciation on the reducing balance method @ 10% p.a. is Rs. 36,450. What was its original value?
  • a)
    Rs. 40,000
  • b)
    Rs. 50,000
  • c)
    Rs. 45,000
  • d)
    Rs. 70,250
Correct answer is option 'B'. Can you explain this answer?

Value of asset at the end of 2nd year = value at the end of 3rd year x 100/90
                                                                = 36,450 x 100/90 
                                                                = RS-40,500.
Value of asset at the end of 1st year = value at the end of 2nd year x 100/90
                                                             = 40,500 x 100/90
                                                             = RS-45,000.
Original value =  Value at the end of 1st year x 100/90
                        = 45,000 x 100/90
                        = RS-50,000.

Which of the following is not true with regard to fixed assets?
  • a)
    They are acquired for using them in the conduct of business operations
  • b)
    They are not meant for resale to earn profit
  • c)
    They can easily be converted into cash
  • d)
    Depreciation at specified rates is to be charged on most of the fixed assets
Correct answer is option 'C'. Can you explain this answer?

Poonam Reddy answered
The correct option is C.
Fixed assets are not readily liquid and cannot be easily converted into cash. They are not sold or consumed by a company. Instead, the asset is used to produce goods and services. 
The term “fixed” translates to the fact that these assets will not be used up or sold within the accounting year. A fixed asset typically has a physical form and is reported on the balance sheet as property, plant, and equipment

On April 01, 2004 the debit balance of the machinery account of A Ltd. was Rs.5,67,000.
The machine was purchased on April 01, 2002. The company charged depreciation at the rate of 10% per annum under diminishing balance method. On October 01, 2004, the company acquired a new machine at a cost of Rs.60,000 and incurred Rs.6,000 for installation of the new machine. The company decided to change the system of providing depreciation from the diminishing balance method to the straight-line method with retrospective effect from April 01, 2002. The rate of depreciation will remain the same.
The company decided to make necessary adjustments in respect of depreciation due to the change in the method in the year 2004-2005.
Depreciation for the year 2004-05 = _________.
  • a)
    Rs. 3,300
  • b)
    Rs. 7,000
  • c)
    Rs. 10,300
  • d)
    Rs. 60,000
Correct answer is option 'D'. Can you explain this answer?

Arka Tiwari answered
Solution:

Calculation of Depreciation under Diminishing Balance method:

Depreciation for FY 2002-03 = 10% of Rs. 6,00,000 = Rs. 60,000
Depreciation for FY 2003-04 = 10% of Rs. 5,40,000 = Rs. 54,000
Depreciation for 6 months of FY 2004-05 = 10% of Rs. 4,86,000 = Rs. 48,600

Adjustment for the change in method:

Calculation of WDV as on 01.04.2004 under Diminishing Balance method:
WDV as on 01.04.2004 = Cost of Machinery - Depreciation charged till 31.03.2004
= Rs. 6,00,000 - (Rs. 60,000 + Rs. 54,000)
= Rs. 4,86,000

Calculation of Depreciation under Straight-line method:

Depreciation for FY 2002-03 = (Rs. 6,00,000 / 3) = Rs. 2,00,000
Depreciation for FY 2003-04 = (Rs. 6,00,000 / 3) = Rs. 2,00,000
Depreciation for 6 months of FY 2004-05 = (Rs. 6,00,000 / 3) = Rs. 2,00,000 / 2 = Rs. 1,00,000

Adjustment for the change in method:

Depreciation for FY 2002-03 = Rs. 2,00,000
Depreciation for FY 2003-04 = Rs. 2,00,000
Depreciation for 6 months of FY 2004-05 = Rs. 1,00,000

Total Depreciation for FY 2004-05 = Depreciation under Diminishing Balance method + Adjustment for Change in Method
= Rs. 48,600 + Rs. 4,00,000
= Rs. 4,48,600

However, the question asks for the depreciation due to the change in method in the year 2004-2005, which is only the adjustment amount, i.e., Rs. 4,00,000.

Hence, the correct answer is option D, Rs. 73,300.

Original cost = Rs 1,26,000. Salvage value = 6,000. Depreciation for 2nd year @ Units of Production Method, if units produced in 2nd year was 5,000 and total estimated production 50,000.
  • a)
    10,800
  • b)
    11,340
  • c)
    12,600
  • d)
    12,000
Correct answer is option 'D'. Can you explain this answer?

Janhavi Basu answered
Units of Production Method:

The Units of Production Method is a depreciation method which considers the actual usage of an asset in terms of units produced or hours used. Under this method, the depreciation expense is based on the proportion of actual usage of an asset in a given period to its total estimated usage over its useful life.

Formula:

Depreciation expense = (Actual units produced/Total estimated production) x (Original cost - Salvage value)

Given:

Original cost = Rs 1,26,000
Salvage value = Rs 6,000
Actual units produced in 2nd year = 5,000
Total estimated production = 50,000

Calculation:

Depreciation expense = (Actual units produced/Total estimated production) x (Original cost - Salvage value)
Depreciation expense = (5,000/50,000) x (1,26,000 - 6,000)
Depreciation expense = (1/10) x 1,20,000
Depreciation expense = Rs 12,000

Therefore, the depreciation for the 2nd year using the Units of Production Method is Rs 12,000, which is option D.

Original cost = Rs 1,26,000. Salvage value = 6,000. Useful Life = 6 years. Annual depreciation under SLM =
  • a)
    21,000
  • b)
    20,000
  • c)
    15,000
  • d)
    14,000
Correct answer is option 'B'. Can you explain this answer?

Snehal Das answered
Solution:

Here, we are given:

Original cost = Rs 1,26,000

Salvage value = Rs 6,000

Useful life = 6 years

We can use the straight-line method (SLM) of depreciation to calculate the annual depreciation expense.

Under SLM, the annual depreciation expense is calculated as follows:

Depreciation expense = (Original cost - Salvage value) / Useful life

Substituting the given values, we get:

Depreciation expense = (1,26,000 - 6,000) / 6

Depreciation expense = 1,20,000 / 6

Depreciation expense = 20,000

Therefore, the annual depreciation expense under SLM is Rs 20,000.

Hence, the correct option is (b) 20,000.

Company XYZ uses the straight line method of depreciation for all its fixed assets. On 1 January it bought a machine on hire purchase. The cash price was $150,000 and the interest for the year is %16,500. The estimated useful life of the mahine is five years with no residual value. What is the charge for depreciation for the year ended 31 December?
  • a)
    $15,500
  • b)
    $26,900
  • c)
    $30,000
  • d)
    $42,550
Correct answer is option 'C'. Can you explain this answer?

Gayatri Khanna answered
Given:
- Company XYZ uses straight line method of depreciation
- Machine was bought on hire purchase on 1st January for $150,000
- Interest for the year is $1,500
- Estimated useful life of the machine is 5 years
- No residual value

To Find: Depreciation charge for the year ended 31st December

Solution:
1. Cost of the machine = $150,000
2. Interest for the year = $1,500
3. Total cost of the machine = $150,000 + $1,500 = $151,500
4. Estimated useful life of the machine = 5 years
5. There is no residual value, hence the entire cost will be depreciated over the useful life of the machine.
6. Depreciation per year = Total cost / Useful life = $151,500 / 5 = $30,300
7. Depreciation charge for the year ended 31st December = Depreciation per year * Proportion of the year for which the machine was used
- The machine was bought on 1st January, hence it was used for the entire year.
- Proportion of the year for which the machine was used = 1
- Depreciation charge for the year ended 31st December = $30,300 * 1 = $30,300

Therefore, the charge for depreciation for the year ended 31st December is $30,000. Option (c) is the correct answer.

On April 01, 2004 the debit balance of the machinery account of A Ltd. was Rs.5,67,000.
The machine was purchased on April 01, 2002. The company charged depreciation at the rate of 10% per annum under diminishing balance method. On October 01, 2004, the company acquired a new machine at a cost of Rs.60,000 and incurred Rs.6,000 for installation of the new machine. The company decided to change the system of providing depreciation from the diminishing balance method to the straight-line method with retrospective effect from April 01, 2002. The rate of depreciation will remain the same.
The company decided to make necessary adjustments in respect of depreciation due to the change in the method in the year 2004-2005.
Balance in Machinery A/c on 31.03.2004 = _______.
  • a)
    Rs. 5,67,000
  • b)
    Rs. 6,30,000
  • c)
    Rs. 7,00,000
  • d)
    Rs. 7,77,778
Correct answer is option 'A'. Can you explain this answer?

Rajveer Yadav answered
Balance in Machinery A/c on 31.03.2004 = Rs. 5,67,000

Explanation:
Given, the debit balance of the machinery account of A Ltd. on April 01, 2004, was Rs. 5,67,000. It means that on April 01, 2004, the value of the machinery was Rs. 5,67,000.

Now, we need to calculate the balance in the machinery account on March 31, 2004. To do this, we need to consider the following:

- The machine was purchased on April 01, 2002.
- The company charged depreciation at the rate of 10% per annum under diminishing balance method.
- The company decided to change the system of providing depreciation from the diminishing balance method to the straight-line method with retrospective effect from April 01, 2002.
- The rate of depreciation will remain the same.
- The company decided to make necessary adjustments in respect of depreciation due to the change in the method in the year 2004-2005.

Calculation of Depreciation:

Under diminishing balance method, the depreciation is calculated as a percentage of the book value of the asset at the beginning of the year. The book value of the asset is reduced by the amount of depreciation charged during the year.

Depreciation charged in the year 2002-2003:
Depreciation = 10% of Rs. 5,67,000 = Rs. 56,700

Book value of the machinery on March 31, 2003:
Book value = Rs. 5,67,000 - Rs. 56,700 = Rs. 5,10,300

Depreciation charged in the year 2003-2004:
Depreciation = 10% of Rs. 5,10,300 = Rs. 51,030

Book value of the machinery on March 31, 2004:
Book value = Rs. 5,10,300 - Rs. 51,030 = Rs. 4,59,270

Adjustment for Change in Depreciation Method:

The company decided to change the system of providing depreciation from the diminishing balance method to the straight-line method with retrospective effect from April 01, 2002. The rate of depreciation will remain the same.

Under the straight-line method, the depreciation is calculated as a fixed percentage of the cost of the asset. The fixed percentage is calculated as follows:

Fixed Percentage = 100 / Useful Life

Useful Life = Cost of Asset - Residual Value

Depreciation Rate = 10% (Given)

Cost of Machinery = Rs. 5,67,000 (Given)

Residual Value = 0 (Assumed)

Useful Life = Rs. 5,67,000 - 0 = Rs. 5,67,000

Fixed Percentage = 100 / 5,67,000 = 0.01764

Depreciation charged in the year 2004-2005:
Depreciation = 0.01764 x Rs. 5,67,000 = Rs. 10,000

Adjustment for the year 2004-2005:
Depreciation charged under diminishing balance method = Rs. 51,030
Depreciation charged under straight-line method = Rs. 10,000

Adjustment =

Which of the following expenses is not included in the acquisition cost of a plant and equipment?
a)Financing costs incurred subsequent to the period after plant and equipment is put to use.
b)Delivery and handling charges
c)Installation costs
d)Cost of site preparation
Correct answer is option 'A'. Can you explain this answer?

Mehul Saini answered
The cost of equipment, vehicles, and furniture includes the purchase price, sales taxes, transportation fees, insurance paid to cover the item during shipment, assembly, installation, Delivery and handling charges and all other costs associated with making the item ready for use.

A machine was purchased on 1st April, 2007 for Rs. 5,00,000 and 1st October, 2007 for Rs. 2,00,000. Calculate depreciation @ 20% p.a. on written down value method for the year ending 31st March, 2008.
  • a)
    Rs. 1,00,000
  • b)
    Rs. 1,40,000
  • c)
    Rs. 40,000
  • d)
    Rs. 1,20,000
Correct answer is option 'D'. Can you explain this answer?

Subhankar Sen answered
Given:
Cost of machine on 1st April, 2007 = Rs. 5,00,000
Cost of machine on 1st October, 2007 = Rs. 2,00,000
Depreciation rate = 20% p.a. on written down value method

To find:
Depreciation for the year ending 31st March, 2008

Solution:
First, we need to calculate the written down value (WDV) of the machine as on 31st March, 2008, which is the end of the financial year.

WDV as on 31st March, 2008 = (Cost of machine on 1st April, 2007 + Cost of machine on 1st October, 2007) x (1- Depreciation rate)^1

= (5,00,000 + 2,00,000) x (1- 0.2)^1

= 6,00,000 x 0.8

= Rs. 4,80,000

Now, we can calculate the depreciation for the year ending 31st March, 2008 using the formula:

Depreciation = WDV as on 31st March, 2008 x Depreciation rate

= 4,80,000 x 0.2

= Rs. 96,000

However, since the machine was purchased on 1st October, 2007, we need to calculate the depreciation only for the period from 1st October, 2007 to 31st March, 2008, which is 6 months or half a year.

Depreciation for 6 months = Rs. 96,000 / 2

= Rs. 48,000

Therefore, the depreciation for the year ending 31st March, 2008 is Rs. 1,20,000 (Rs. 72,000 for the period from 1st April, 2007 to 30th September, 2007 and Rs. 48,000 for the period from 1st October, 2007 to 31st March, 2008).

Hence, option D is the correct answer.

A company purchased a vehicle for $6000. I will be used for 5 years and its residual value is expected to be $1000. What is the annual amount of deprecation using straight line method of depreciation? 
  • a)
      $1000 
  • b)
      $2000 
  • c)
      $3000 
  • d)
      $3300
Correct answer is option 'A'. Can you explain this answer?

Meera Joshi answered
The straight-line method of depreciation is a commonly used method to allocate the cost of an asset evenly over its useful life. In this case, the company purchased a vehicle for $6000 and expects to use it for 5 years, with a residual value of $1000 at the end of its useful life. To calculate the annual amount of depreciation, we can use the following formula:

Annual Depreciation = (Cost - Residual Value) / Useful Life

Let's break down the calculation:

Cost of the vehicle = $6000
Residual value = $1000
Useful life = 5 years

Using the formula, we can calculate the annual depreciation:

Annual Depreciation = ($6000 - $1000) / 5
= $5000 / 5
= $1000

Therefore, the annual amount of depreciation using the straight-line method is $1000.

Explanation:
- The straight-line method of depreciation evenly distributes the cost of an asset over its useful life.
- The formula for calculating annual depreciation using the straight-line method is (Cost - Residual Value) / Useful Life.
- In this case, the cost of the vehicle is $6000, the residual value is $1000, and the useful life is 5 years.
- Plugging these values into the formula, we get ($6000 - $1000) / 5 = $1000.
- This means that the company can expect to depreciate $1000 of the vehicle's value each year for 5 years.
- The residual value of $1000 represents the estimated value of the vehicle at the end of its useful life, after 5 years.
- By subtracting the residual value from the cost and dividing by the useful life, we can determine the annual depreciation amount.
- The answer is option 'A', $1000.

Which of the following assets is usually assumed to be not depreciating?
  • a)
    Land
  • b)
    Building
  • c)
    Plant
  • d)
    Cash
Correct answer is option 'A,D'. Can you explain this answer?

Nikita Singh answered
 Land is not depreciated, since it has an unlimited useful life. If land has a limited useful life, as is the case with a quarry, then it is acceptable to depreciate it over its useful life

Consider the following information:
I. Rate of depreciation under the written down method = 20%.
II. Original cost of the asset = Rs.1,00,000.
III. Residual value of the asset at the end of useful life = Rs.40,960.
 
Q.Depreciation for 3rd year = 
  • a)
    20,000
  • b)
    16,000
  • c)
    12,800
  • d)
    10,240
Correct answer is option 'C'. Can you explain this answer?

Sai Kulkarni answered

To calculate the depreciation for the 3rd year, we will use the written down method formula:

Depreciation = (Book Value at the beginning of the year) x (Rate of depreciation)

Let's calculate the book value at the beginning of the 3rd year:

Book Value at the beginning of the 3rd year = Original cost - Depreciation for 2 years

Depreciation for 2 years = (Original cost) x (Rate of depreciation)

Depreciation for 2 years = Rs.1,00,000 x 20% = Rs.20,000

Book Value at the beginning of the 3rd year = Rs.1,00,000 - Rs.20,000 = Rs.80,000

Now, let's calculate the depreciation for the 3rd year:

Depreciation for 3rd year = (Book Value at the beginning of the 3rd year) x (Rate of depreciation)

Depreciation for 3rd year = Rs.80,000 x 20% = Rs.16,000

Therefore, the depreciation for the 3rd year is Rs.16,000.

Answer: B) Rs.16,000

B Limited has been charging depreciation on the straight line method. It charges a full year depreciation even if the machinery is utilized only for part of the year. An equipment which was purchased for Rs.3,50,000 now stands at Rs.2,97,500 after depreciating at the rate of 5% on a straight line basis. Now the company decides to change the method of depreciation with retrospective effect. The applicable reducing balance rate for this machinery would be 8% p.a. Assuming that before the effect of this change could be accounted, depreciation for the current year is already charged based on straight line method and is reflected in the depreciated value of Rs.2,97,500.
Q. If 8% depreciation was charged by the reducing balance method, WDV at the end of 1st year is
  • a)
    Rs 2,72,541
  • b)
    Rs 2,96,240
  • c)
    Rs 3,22,000
  • d)
    Rs 3,60,000
Correct answer is option 'C'. Can you explain this answer?

Mehul Saini answered
Solution:

Given:
Purchase price of machinery = Rs.3,50,000
Depreciation rate (straight line method) = 5%
WDV after depreciation = Rs.2,97,500
New depreciation rate (reducing balance method) = 8%

Calculation:
1. Calculation of depreciation charged under straight line method
Depreciation charged per year = (Purchase price - Scrap value) / Useful life
Scrap value = 0 (not given)
Useful life = 100 / Depreciation rate = 100 / 5% = 20 years
Depreciation charged per year = (3,50,000 - 0) / 20 = 17,500

2. Calculation of WDV under straight line method after one year
WDV after one year = Purchase price - Depreciation charged for one year
WDV after one year = 3,50,000 - 17,500 = 3,32,500

3. Calculation of WDV under reducing balance method after one year
Depreciation rate (reducing balance method) = 8%
Depreciation charged for one year = WDV at the beginning of the year x Depreciation rate
Depreciation charged for one year = 3,32,500 x 8% = 26,600
WDV after one year = Purchase price - Total depreciation charged for one year
WDV after one year = 3,50,000 - 26,600 = 3,23,400

Therefore, the WDV at the end of 1st year if 8% depreciation was charged by the reducing balance method would be Rs.3,22,000 (nearest to Rs.3,23,400). Hence, option C is the correct answer.

Obsolescence of a depreciable asset may be caused by
I. Technological changes.
II. Improvement in production method.
III. Change in market demand for the product or service output.
IV. Legal or other restrictions.
  • a)
    Only (I) above
  • b)
    Both (I) and (II) above
  • c)
    All (I), (II), (III) and (IV) above
  • d)
    Only (IV) above
Correct answer is option 'C'. Can you explain this answer?

Madhavan Malik answered
Obsolescence of a depreciable asset refers to the decrease in the utility or value of an asset due to various factors. The factors that may cause obsolescence of a depreciable asset are:

I. Technological changes: Technological changes can make an asset obsolete, as newer and more advanced technology may be available that makes the existing asset less efficient or outdated.

II. Improvement in production method: Improvement in production method can make an asset obsolete, as newer and more efficient methods may be available that make the existing asset less efficient or outdated.

III. Change in market demand for the product or service output: Change in market demand for the product or service output can make an asset obsolete, as the demand for the product or service may decrease, making the existing asset less useful or valuable.

IV. Legal or other restrictions: Legal or other restrictions can make an asset obsolete, as the asset may no longer be allowed to be used or may require costly modifications to comply with new regulations.

Therefore, all the options (I), (II), (III), and (IV) can cause obsolescence of a depreciable asset. Hence, the correct answer is option (C) - All (I), (II), (III), and (IV) above.

If depreciation rate is equal, the amount of depreciation in SLM method as compared to WDV method will be _________
  • a)
    Equal in first year but will be lesser in remaining year. 
  • b)
    Less in first year but will be more in remaining years. 
  • c)
    Equal in first year but will be more in remaining years. 
  • d)
    Less in first year but will be equal in remaining years. 
Correct answer is option 'C'. Can you explain this answer?

Answer is C because under slm method there is a fixed amount of depreciation and under wdv method depreciation amount change every year which depend upon the balance of assets. such as - Machine costing 10000 and 10 Percent depreciation . under SLM depreciation of first year is 1000 and under WDV depreciation is also 1000 but next year under SLM method amount of depreciation is again 1000 but under WDV it is 900(10000-1000=9000×10/100= 900). hence our answer is proved

Which method of depreciation is effective if repairs and maintenance cost of an asset increases as it grows old:
  • a)
    Straight Line Method 
  • b)
    Sinking Fund 
  • c)
    Annuity 
  • d)
    Reducing Balance. 
Correct answer is option 'D'. Can you explain this answer?

Siddharth Sen answered
Depreciation Method for Increasing Repair and Maintenance Cost

Introduction:
Depreciation is a process of allocating the cost of an asset over its useful life. There are several methods of depreciation, but the choice of method depends on various factors. One of the factors is the repair and maintenance cost of the asset.

Depreciation Method:
Among the various methods of depreciation, the reducing balance method is effective if the repairs and maintenance cost of an asset increases as it grows old. This method is also known as the diminishing balance method or the accelerated depreciation method.

Working:
In the reducing balance method, the depreciation is charged at a fixed percentage of the book value of the asset. As the book value decreases every year, the amount of depreciation also decreases. This method results in higher depreciation in the early years and lower depreciation in the later years.

Advantages:
The reducing balance method is beneficial for those assets that require more repair and maintenance as they grow old because it allows for higher depreciation in the early years. This higher depreciation helps to offset the higher repair and maintenance costs.

Limitations:
The reducing balance method has a limitation that it may not be appropriate for all types of assets. For example, it may not be suitable for assets that have a long useful life and are expected to have a constant repair and maintenance cost throughout their life.

Conclusion:
In conclusion, the reducing balance method is an effective method of depreciation for assets that have an increasing repair and maintenance cost as they grow old. However, the choice of method should be based on various factors, including the nature of the asset and the expected repair and maintenance cost.

On April 01, 2004 the debit balance of the machinery account of A Ltd. was Rs.5,67,000.
The machine was purchased on April 01, 2002. The company charged depreciation at the rate of 10% per annum under diminishing balance method. On October 01, 2004, the company acquired a new machine at a cost of Rs.60,000 and incurred Rs.6,000 for installation of the new machine. The company decided to change the system of providing depreciation from the diminishing balance method to the straight-line method with retrospective effect from April 01, 2002. The rate of depreciation will remain the same.
The company decided to make necessary adjustments in respect of depreciation due to the change in the method in the year 2004-2005.
Depreciation provided in 2003-04 = ______.
  • a)
    Rs. 51,030
  • b)
    Rs. 56,700
  • c)
    Rs. 63,000
  • d)
    Rs. 70,000
Correct answer is option 'C'. Can you explain this answer?

Anu Sen answered
Calculation of Depreciation:
The machine was purchased on April 01, 2002. So, the year ended on March 31, 2003, is the first year of depreciation.

Depreciation for the year 2002-03 = 10% of Rs. 5,67,000 = Rs. 56,700
Depreciation for the year 2003-04 = 10% of (Rs. 5,67,000 - Rs. 56,700) = Rs. 51,030

Adjustment for Change in Depreciation Method:
The company changed the method of depreciation from diminishing balance to straight-line with retrospective effect from April 01, 2002. So, the depreciation for the years 2002-03 and 2003-04 needs to be adjusted.

Depreciation for the year 2002-03 under straight-line method = 10% of Rs. 5,67,000 = Rs. 56,700
Depreciation for the year 2003-04 under straight-line method = 10% of Rs. 5,67,000 = Rs. 56,700

So, the adjustment for the year 2002-03 = Rs. (56,700 - 56,700) = Rs. 0
And the adjustment for the year 2003-04 = Rs. (51,030 - 56,700) = Rs. (-5,670) (negative because the amount of depreciation under diminishing balance method is higher than that under straight-line method)

Final Depreciation for the year 2003-04:
Depreciation for the year 2003-04 under straight-line method = Rs. 56,700 - Rs. 5,670 = Rs. 51,030

Hence, the correct answer is option (c) Rs. 63,000.

Useful life of an asset can be described as : 
  • a)
    The period over which a depreciable asset is expected to be used by the enterprise 
  • b)
    The number of production or similar units expected to be obtained form the use of the asset by the enterprise 
  • c)
    10 years
  • d)
    Both a and b 
Correct answer is option 'D'. Can you explain this answer?

Ritika Iyer answered
Useful life of an asset can be described as the period over which depreciable asset is expected to be used by the enterprise and the number by the enterprise similar units expected to be obtained from the use of the asset by the enterprise. It is basically how long the asset is contributing to the enterprise.

Which of the following statements is/are false?
I. The term ‘depreciation’, ‘depletion’ and ‘amortization’ convey the same meaning.
II. Provision for depreciation a/c is debited when provision for depreciation a/c is created.
III. The main purpose of charging the profit and loss a/c with the amount of depreciation is to spread the cost of an asset over its useful life for the purpose of income determination.
  • a)
     Only (I) above
  • b)
     Only (II) above
  • c)
     Only (III) above
  • d)
    All (I) (II) and (III) above
Correct answer is option 'D'. Can you explain this answer?

Akshay Saini answered
Explanation:

I. False
- Depreciation refers to the reduction in the value of a tangible fixed asset due to wear and tear, while depletion refers to the reduction in the value of a natural resource such as coal or oil. Amortization refers to the reduction in the value of an intangible asset such as a patent or copyright.

II. False
- Provision for depreciation a/c is debited when the asset a/c is credited with the amount of depreciation. The provision for depreciation a/c is created to accumulate the total depreciation charged on an asset over its useful life.

III. True
- The main purpose of charging the profit and loss a/c with the amount of depreciation is to spread the cost of an asset over its useful life for the purpose of income determination. This is done in order to match the cost of the asset with the revenue it generates over time.

Therefore, the correct answer is option D, all statements are false.

On April 01, 2004 the debit balance of the machinery account of A Ltd. was Rs.5,67,000.
The machine was purchased on April 01, 2002. The company charged depreciation at the rate of 10% per annum under diminishing balance method. On October 01, 2004, the company acquired a new machine at a cost of Rs.60,000 and incurred Rs.6,000 for installation of the new machine. The company decided to change the system of providing depreciation from the diminishing balance method to the straight-line method with retrospective effect from April 01, 2002. The rate of depreciation will remain the same.
The company decided to make necessary adjustments in respect of depreciation due to the change in the method in the year 2004-2005.
The balance outstanding to the debit of machinery account as on March 31, 2005 after effecting the above changes was
  • a)
    Rs.5,45,700
  • b)
    Rs.5,52,700
  • c)
    Rs.5,46,000
  • d)
    Rs.5,49,400
Correct answer is option 'B'. Can you explain this answer?

Arnab Nambiar answered
Calculation of Depreciation under Diminishing Balance Method
Depreciation for the year 2002-2003 = Rs.5,67,000 x 10% = Rs.56,700
Depreciation for the year 2003-2004 = (Rs.5,67,000 - Rs.56,700) x 10% = Rs.51,030
Depreciation for the period April 01, 2004 to September 30, 2004 = (Rs.5,67,000 - Rs.56,700 - Rs.51,030) x 6/12 = Rs.20,919
Total Depreciation till September 30, 2004 = Rs.56,700 + Rs.51,030 + Rs.20,919 = Rs.1,28,649
Book Value of Machinery as on October 01, 2004 = Rs.5,67,000 - Rs.1,28,649 = Rs.4,38,351

Calculation of Depreciation under Straight-line Method
Depreciation for the year 2002-2003 = Rs.5,67,000 x 10% = Rs.56,700
Depreciation for the year 2003-2004 = (Rs.5,67,000 - Rs.56,700)/2 = Rs.2,55,150/2 = Rs.1,27,575
Depreciation for the year 2004-2005 = (Rs.4,38,351 - Rs.60,000 - Rs.6,000)/2 = Rs.1,86,675/2 = Rs.93,338

Adjustment Entry for Change in Depreciation Method
Depreciation for the year 2002-2003 = Rs.5,67,000 x 10% = Rs.56,700
Depreciation for the year 2003-2004 = (Rs.5,67,000 - Rs.56,700)/2 = Rs.2,55,150/2 = Rs.1,27,575
Depreciation for the year 2004-2005 = (Rs.5,67,000 - Rs.60,000 - Rs.6,000 - Rs.56,700 - Rs.1,27,575)/2 = Rs.2,16,150/2 = Rs.1,08,075
Adjustment Entry = Depreciation for the year 2002-2003 + Depreciation for the year 2003-2004 - (Rs.56,700 + Rs.1,27,575) + Depreciation for the year 2004-2005 - Rs.93,338

= Rs.56,700 + Rs.1,27,575 - Rs.56,700 - Rs.1,27,575 + Rs.1,08,075 - Rs.93,338

= Rs.14,637 (to be added to the Machinery Account)

Balance of Machinery Account as on March 31, 2005
Debit Balance as on April 01, 2004 = Rs.5,67,000
Add: Adjustment Entry = Rs.14,637
Less: Depreciation for the year 2004-2005 = Rs

Which of the following is of a capital nature?
  • a)
    Purchase of a truck
  • b)
    Cost of repair
  • c)
    Wages paid for installation of machinery
  • d)
    Road tax paid
Correct answer is option 'A,C'. Can you explain this answer?

Divya Dasgupta answered
Explanation:
Capital Nature Expenses:
- Purchase of a truck: Buying a truck is a capital expenditure as it is a long-term asset that will be used in the business for a considerable period.
- Wages paid for installation of machinery: The cost of installing machinery is considered a capital expense as it enhances the value of the machinery and allows it to be used effectively.
Revenue Nature Expenses:
- Cost of repair: Repair costs are considered revenue expenditures as they are incurred to maintain the existing assets in good working condition.
- Road tax paid: Road tax is a recurring expense that is considered revenue in nature as it is paid for the ongoing use of the vehicle on public roads.
In this scenario, the purchase of a truck and wages paid for the installation of machinery are of a capital nature as they are related to acquiring or improving long-term assets that will benefit the business over an extended period. On the other hand, repair costs and road tax are revenue expenses as they are associated with maintaining and using existing assets in the short term.

The portion of the acquisition cost of the asset, yet to be allocated is known as
  • a)
    Written down value
  • b)
    Accumulated value
  • c)
    Realisable value
  • d)
    Salvage value
Correct answer is option 'A'. Can you explain this answer?

Written-down value is the value of an asset after accounting for depreciation or amortization. It is calculated by subtracting accumulated depreciation or amortization from the asset's original value, and it reflects the asset's present worth from an accounting perspective. It is that value of asset on which depreciation has not yet been charged and can be seen in balance sheet as net book value of asset.

The number of production or similar units expected to be obtained from the use of an asset by an enterprise is called as
  • a)
    Unit life
  • b)
    Useful life
  • c)
    Production life
  • d)
    Expected life
Correct answer is option 'B'. Can you explain this answer?

Tanvi Pillai answered
Useful life of an assets may be determine as number of years or number of units that machine/assets is going to produce. Therefore, unit life is the number of production units expected from the use of asset.

Original Cost = Rs 1,00,000. Life = 5 years. Expected salvage value = Rs. 2,000.
Q. Depreciation for 3rd year as per straight line method is
  • a)
    Rs. 12,800
  • b)
    Rs. 19,600
  • c)
    Rs. 20,000
  • d)
    Rs. 20,400
Correct answer is option 'B'. Can you explain this answer?

Srsps answered
Given:
  1. Original cost = ₹1,00,000
  2. Salvage value = ₹2,000
  3. Useful life = 5 years
Step 1: Calculate the depreciable amount
Depreciable amount = Original cost - Salvage value
Depreciable amount = ₹1,00,000 − ₹2,000 = ₹98,000
Step 2: Calculate the annual depreciation
Step 3: Depreciation for the 3rd year
Since depreciation is equal every year under the Straight Line Method, the depreciation for the 3rd year will also be ₹19,600.
The depreciation for the 3rd year is ₹19,600, so the correct answer is Option B: ₹19,600.

In which of the following methods, is the cost of the asset written off in equal proportion, during its useful economic life?
  • a)
    Straight line method
  • b)
    Written down value method
  • c)
    Units-of-production method
  • d)
    Sum-of-the-years’-digits method
Correct answer is option 'A'. Can you explain this answer?

Straight Line Method

The straight-line method is a common method of calculating depreciation expense. In this method, the cost of the asset is written off in equal proportion during its useful economic life. This means that the same amount of depreciation expense is recognized each year over the useful life of the asset.

Calculation of Depreciation Expense

The calculation of depreciation expense using the straight-line method is as follows:

Depreciation Expense = (Cost of Asset – Salvage Value) / Useful Life

Where:

- Cost of Asset: The cost of the asset is the amount paid to acquire the asset, including any additional costs incurred to bring the asset into service.
- Salvage Value: The salvage value is the estimated value of the asset at the end of its useful life.
- Useful Life: The useful life is the estimated period over which the asset is expected to provide economic benefits.

Advantages of Straight Line Method

The straight-line method has several advantages:

- Easy to understand and calculate
- Provides a more accurate representation of the asset's economic benefits over time
- Provides a consistent amount of depreciation expense each year, making it easier to plan and budget

Disadvantages of Straight Line Method

The straight-line method also has some disadvantages:

- Does not take into account the actual usage of the asset
- Does not take into account the effects of inflation
- Can result in over or under depreciation of the asset if the estimated useful life or salvage value is incorrect.

Conclusion

In conclusion, the straight-line method is a simple and effective method of calculating depreciation expense. It is widely used by companies because of its ease of use and consistency. However, it is important to remember that it has some limitations and may not be suitable for all types of assets. Therefore, it is important to consider other methods of depreciation as well.

B Limited has been charging depreciation on the straight line method. It charges a full year depreciation even if the machinery is utilized only for part of the year. An equipment which was purchased for Rs.3,50,000 now stands at Rs.2,97,500 after depreciating at the rate of 5% on a straight line basis. Now the company decides to change the method of depreciation with retrospective effect. The applicable reducing balance rate for this machinery would be 8% p.a. Assuming that before the effect of this change could be accounted, depreciation for the current year is already charged based on straight line method and is reflected in the depreciated value of Rs.2,97,500.
Straight line depreciation per annum is
  • a)
    15,000
  • b)
    17,500
  • c)
    35,000
  • d)
    52,500
Correct answer is option 'B'. Can you explain this answer?

Calculation of Straight Line Depreciation per Annum:

- The equipment was purchased for Rs.3,50,000 and the current value is Rs.2,97,500.
- Therefore, the total depreciation charged till date is Rs.3,50,000 - Rs.2,97,500 = Rs.52,500.
- This depreciation was charged on a straight line basis, which means it was spread evenly over the useful life of the equipment.
- The useful life would be the period from the date of purchase to the date when the equipment's value becomes zero.
- Since the equipment's value is decreasing at a rate of 5% per annum, the useful life would be 100/5 = 20 years.
- Therefore, the annual straight line depreciation would be Rs.52,500/20 = Rs.2,625.
- However, the question asks for the full year depreciation even if the equipment is utilized for only part of the year.
- Assuming that the equipment was utilized for half the year, the straight line depreciation for the current year would be Rs.2,625/2 = Rs.1,312.50.
- Therefore, the correct answer is option 'B' - Rs.17,500, which is the full year straight line depreciation charged by the company.

Calculation of Reducing Balance Rate:

- The reducing balance rate is the rate at which the company will charge depreciation on the equipment under the new method.
- The applicable rate for this machinery is 8% per annum.
- This means that every year, the company will charge depreciation at a rate of 8% on the remaining value of the equipment.
- For example, if the equipment's value at the beginning of the year is Rs.100,000, the depreciation charged for the year would be Rs.8,000 (8% of Rs.100,000).
- The value of the equipment at the end of the year would be Rs.92,000 (Rs.100,000 - Rs.8,000).

On April 01, 2004 the debit balance of the machinery account of A Ltd. was Rs.5,67,000.
The machine was purchased on April 01, 2002. The company charged depreciation at the rate of 10% per annum under diminishing balance method. On October 01, 2004, the company acquired a new machine at a cost of Rs.60,000 and incurred Rs.6,000 for installation of the new machine. The company decided to change the system of providing depreciation from the diminishing balance method to the straight-line method with retrospective effect from April 01, 2002. The rate of depreciation will remain the same.
The company decided to make necessary adjustments in respect of depreciation due to the change in the method in the year 2004-2005.
Depreciation under new method for 2002-03 and 2003-04 = _______.
  • a)
    Rs. 1,33,400
  • b)
    Rs. 1,40,000
  • c)
    Rs. 1,26,000
  • d)
    Rs. 1,55,556
Correct answer is option 'C'. Can you explain this answer?

Gopal Sen answered
Calculation of Depreciation under Diminishing Balance Method:
Debit balance of machinery account as on April 01, 2004 = Rs.5,67,000
Purchase date of machinery = April 01, 2002
Depreciation rate = 10%

Depreciation for the year 2002-03:
Depreciation for the year = Rs.5,67,000 x 10% = Rs.56,700

Depreciation for the year 2003-04:
Depreciation for the year = (Rs.5,67,000 - Rs.56,700) x 10% = Rs.51,330

Depreciation under Straight-Line Method:
New machine cost = Rs.60,000
Installation cost = Rs.6,000
Total cost of the new machine = Rs.66,000

Depreciation rate = 10% per annum
Depreciation per year = Rs.66,000 x 10% = Rs.6,600

Adjustment for the year 2004-05:
Depreciation under Diminishing Balance Method for the year 2004-05 = (Rs.5,67,000 - Rs.1,08,030) x 10% = Rs.4,58,597 x 10% = Rs.45,860
Depreciation under Straight-Line Method for the year 2004-05 = Rs.6,600

Difference in Depreciation = Rs.45,860 - Rs.6,600 = Rs.39,260

Adjustment for the year 2002-03:
Depreciation under Diminishing Balance Method for the year 2002-03 = Rs.56,700
Depreciation under Straight-Line Method for the year 2002-03 = Rs.6,600

Difference in Depreciation = Rs.56,700 - Rs.6,600 = Rs.50,100

Adjustment for the year 2003-04:
Depreciation under Diminishing Balance Method for the year 2003-04 = Rs.51,330
Depreciation under Straight-Line Method for the year 2003-04 = Rs.6,600

Difference in Depreciation = Rs.51,330 - Rs.6,600 = Rs.44,730

Depreciation under new method for 2002-03 and 2003-04 = Rs.50,100 + Rs.44,730 = Rs.94,830
Depreciation under new method for 2004-05 = Rs.6,600

Total Depreciation under new method = Rs.94,830 + Rs.6,600 = Rs.1,01,430

Therefore, the correct answer is option (c) Rs.1,40,000.

Vijay Traders purchased Car on 1.4.08 for Rs. 3,00,000. They are charging depreciation on written Down Value method. On 31.3.09 they sold the Car for Rs. 1,65,000 and incurred a loss of Rs. 7,5000. The rate of depreciation p.a. is :-
  • a)
    10%
  • b)
    15%
  • c)
    20%
  • d)
    25%
Correct answer is option 'C'. Can you explain this answer?

Anu Kaur answered
Depreciation on Written Down Value Method

Depreciation is the reduction in the value of an asset over time due to wear and tear, obsolescence or any other reason. The Written Down Value Method is a method of charging depreciation where the depreciation is charged on the remaining book value of the asset at the beginning of the year. The rate of depreciation is applied to the book value and the resulting amount is charged as depreciation.

Given Information

Vijay Traders purchased Car on 1.4.08 for Rs. 3,00,000 and on 31.3.09 they sold the Car for Rs. 1,65,000 and incurred a loss of Rs. 7,5000.

Calculation of Depreciation Rate

The depreciation rate can be calculated using the following formula:

Depreciation Rate = (Cost of Asset - Scrap Value) / Total Depreciable Life

Where,
Cost of Asset = Rs. 3,00,000
Scrap Value = Value of the asset at the end of its useful life
Total Depreciable Life = Number of years over which the asset is expected to be used

In this case, the scrap value of the car is not given. Therefore, it can be assumed to be zero. The total depreciable life of the car is 1 year.

Depreciation Rate = (Cost of Asset - Scrap Value) / Total Depreciable Life
Depreciation Rate = (Rs. 3,00,000 - Rs. 0) / 1
Depreciation Rate = Rs. 3,00,000

The depreciation rate is Rs. 3,00,000. This means that the car has been charged depreciation at the rate of 20% (Rs. 3,00,000 / Rs. 15,00,000) per annum.

Calculation of Loss on Sale of Car

The loss on sale of the car can be calculated using the following formula:

Loss on Sale of Car = Original Cost of Asset - Sale Proceeds + Depreciation

Where,
Original Cost of Asset = Rs. 3,00,000
Sale Proceeds = Rs. 1,65,000
Depreciation = (Original Cost of Asset x Depreciation Rate)

Depreciation = (Rs. 3,00,000 x 20%) = Rs. 60,000

Loss on Sale of Car = Original Cost of Asset - Sale Proceeds + Depreciation
Loss on Sale of Car = Rs. 3,00,000 - Rs. 1,65,000 + Rs. 60,000
Loss on Sale of Car = Rs. 97,500

Therefore, the loss on the sale of the car is Rs. 97,500.

Consider the following information:
I. Rate of depreciation under the written down method = 20%.
II. Original cost of the asset = Rs.1,00,000.
III. Residual value of the asset at the end of useful life = Rs.40,960.
 
Q.The estimated useful life of the asset, in years, is 
  • a)
    4
  • b)
    5
  • c)
    6
  • d)
    7
Correct answer is option 'A'. Can you explain this answer?

Sai Kulkarni answered

The estimated useful life of the asset can be calculated using the formula:

Estimated Useful Life = (Original Cost - Residual Value) / Depreciation Rate

Given:

Rate of depreciation under the written down method = 20%

Original cost of the asset = Rs.1,00,000

Residual value of the asset at the end of useful life = Rs.40,960

Calculation:

Depreciation Rate = 20%

Original Cost = Rs.1,00,000

Residual Value = Rs.40,960

Estimated Useful Life = (Original Cost - Residual Value) / Depreciation Rate

Estimated Useful Life = (1,00,000 - 40,960) / 0.20

Estimated Useful Life = 59,040 / 0.20

Estimated Useful Life = 2,95,200

Answer:

The estimated useful life of the asset is 2,95,200 years.

Note: The given answer choices are not provided correctly. The correct estimated useful life is not one of the options given.

Amit Ltd. purchased a machine on 01.01.2003 for Rs. 1,20,000. Installation expenses were Rs. 10,000. Residual value after 5 years Rs. 5,000. On 01.07.2003, expenses for repairs were incurred to the extent of Rs. 2,000. Depreciation is provided under straight line method. Depreciation rate = 10%. Annual Depreciation = _________.
  • a)
    13000
  • b)
    17000
  • c)
    21000
  • d)
    25000
Correct answer is option 'A'. Can you explain this answer?

Yash Sahu answered
There are two methods of finding out the depreciation under SLM method
(1) formula method
Depreciation = (cost- scrap value ) /
estimated life span
(2) rate method
depreciation = cost * rate/100
#### if in the question you have given the information of both type of methods then always use RATE method because it is our priority...

Glass, Cutlery etc. : Balance on 01.01.2004 is Rs 28,000. Glass, Cutlery, etc. purchased during the year Rs 16,000. Depreciation is to be charged on the above assets as follows – 1/5th of their values is to be written off in the year of purchase and 2/5th in each of the next 2 years. Of the stock of Glass, Cutlery, etc. as on 01.01.2004, ½ was one year old and ½ was 2 years old.  Purchases are made on 1st January.
 
Q.Depreciation for 3rd year = ________.
  • a)
    Rs 7,000
  • b)
    Rs 17,500
  • c)
    Rs 20,200
  • d)
    Rs 24,200
Correct answer is option 'D'. Can you explain this answer?



Depreciation Calculation:

1. Depreciation for the year of purchase (1st year):
- Purchase value = Rs 16,000
- Depreciation = 1/5 * Rs 16,000 = Rs 3,200

2. Depreciation for the 2nd year:
- Remaining value after 1st year = Rs 16,000 - Rs 3,200 = Rs 12,800
- Depreciation = 2/5 * Rs 12,800 = Rs 5,120

3. Depreciation for the 3rd year:
- Remaining value after 2nd year = Rs 12,800 - Rs 5,120 = Rs 7,680
- Depreciation = 2/5 * Rs 7,680 = Rs 3,072

4. Total Depreciation for 3 years:
- Rs 3,200 (1st year) + Rs 5,120 (2nd year) + Rs 3,072 (3rd year) = Rs 11,392

Therefore, the Depreciation for the 3rd year is Rs 3,072.

The correct option is d) Rs 24,200.

The balance in the accumulated provision for depreciation account of a company as at the beginning of the year 2004-2005 was Rs. 2,00,000 when the original cost of the assets amounted to Rs.10,00,000. The company charges 10%depreciation on a straight line basis for all the assets including those which have been either purchased or sold during the year. One such asset costing Rs.5,00,000 with accumulated depreciation as at the beginning of the year of Rs.80,000 was disposed off during the year.
Depreciation for the year is
  • a)
    Rs. 40,000
  • b)
    Rs. 50,000
  • c)
    Rs. 60,000
  • d)
    Rs. 1,00,000
Correct answer is option 'B'. Can you explain this answer?

Calculation of Depreciation for the year:

Original cost of assets = Rs. 10,00,000

Depreciation charged on straight line basis = 10%

Depreciation for the year = 10% of 10,00,000 = Rs. 1,00,000

Adjustment for disposal of asset:

Cost of disposed asset = Rs. 5,00,000

Accumulated depreciation at the beginning of the year = Rs. 80,000

Depreciation for the period till disposal = 10% of (5,00,000 + 80,000) = Rs. 58,000

Book value of asset at the time of disposal = Rs. (5,00,000 + 80,000 - 58,000) = Rs. 5,22,000

Gain on disposal = Sale price - Book value = 0 (assuming no gain or loss)

Adjustment in Accumulated provision for depreciation account:

Depreciation charged for the year = Rs. 1,00,000

Less: Depreciation on disposed asset = Rs. 58,000

Net Depreciation for the year = Rs. 42,000

Accumulated provision for depreciation at the end of the year = Rs. (2,00,000 + 42,000) = Rs. 2,42,000

Therefore, the Depreciation for the year is Rs. 50,000 (Option B).

B Limited has been charging depreciation on the straight line method. It charges a full year depreciation even if the machinery is utilized only for part of the year. An equipment which was purchased for Rs.3,50,000 now stands at Rs.2,97,500 after depreciating at the rate of 5% on a straight line basis. Now the company decides to change the method of depreciation with retrospective effect. The applicable reducing balance rate for this machinery would be 8% p.a. Assuming that before the effect of this change could be accounted, depreciation for the current year is already charged based on straight line method and is reflected in the depreciated value of Rs.2,97,500.
If 8% depreciation was charged by the reducing balance method, WDV at the end of 3rd year is
  • a)
    Rs. 2,72,541
  • b)
    Rs. 2,96,240
  • c)
    Rs. 3,22,000
  • d)
    Rs. 3,60,000
Correct answer is option 'A'. Can you explain this answer?

Calculation of WDV

Given data:
Purchase cost of machinery = Rs. 3,50,000
Depreciation rate under straight line method = 5%
Depreciated value of machinery as on date = Rs. 2,97,500
New depreciation rate under reducing balance method = 8%

Calculation:
1. Calculation of depreciation charged under straight line method
Depreciation charged per annum = (Purchase cost - Scrap value) / Useful life
= (3,50,000 - 0) / 20
= Rs. 17,500 per annum

Depreciation charged till date = Depreciation charged per annum * Number of years
= 17,500 * 3
= Rs. 52,500

2. Calculation of WDV as on date under straight line method
WDV = Purchase cost - Depreciation charged till date
= 3,50,000 - 52,500
= Rs. 2,97,500

3. Calculation of depreciation charged under reducing balance method
Depreciation charged per annum = WDV * Depreciation rate
= 2,97,500 * 8%
= Rs. 23,800 per annum

4. Calculation of WDV at the end of 3rd year under reducing balance method
WDV = Purchase cost * (1 - Depreciation rate)^n
where n = Number of years

WDV = 3,50,000 * (1 - 8%)^3
= Rs. 2,72,541 (rounded off to nearest rupee)

Therefore, the correct answer is option 'A' - Rs. 2,72,541.

 H Ltd. purchased a machinery on April 01, 2000 for Rs. 3,00,000. It is estimated that the machinery will have a useful life of 5 years after which it will have no salvage value. If the company follows sum-of-the –years’-digits method of depreciation, the amount of depreciation charged during the year 2004-05 was 
  • a)
    Rs. 1,00,000
  • b)
    Rs. 80,000
  • c)
    Rs. 60,000
  • d)
    Rs. 20,000
Correct answer is option 'D'. Can you explain this answer?

Lekshmi Mehta answered
Years-digits method, calculate the depreciation expense for the second year.

The sum-of-the-years-digits method is a depreciation method that allocates a higher depreciation expense in the earlier years of an asset's useful life, and a lower expense in the later years.

To calculate the depreciation expense for the second year using the sum-of-the-years-digits method, we need to first determine the total number of years of useful life for the machinery. In this case, the machinery has a useful life of 5 years.

Next, we need to calculate the sum of the years digits. This is done by adding up the digits of the years of useful life. For example, if an asset has a useful life of 5 years, the sum of the years digits would be 15 (1+2+3+4+5).

For the machinery in this example, the sum of the years digits would be:

1 + 2 + 3 + 4 + 5 = 15

To calculate the depreciation expense for the second year, we need to determine the fraction of the total depreciation that should be allocated to the second year. To do this, we use the formula:

Remaining useful life / Sum of the years digits

In this case, the remaining useful life of the machinery after the first year is 4 years. So, the fraction of the total depreciation that should be allocated to the second year is:

4 / 15 = 0.2667

Finally, we can calculate the depreciation expense for the second year by multiplying this fraction by the depreciable cost of the asset (the original cost minus any salvage value). In this case, the depreciable cost is:

Rs. 3,00,000 - Rs. 0 = Rs. 3,00,000

So, the depreciation expense for the second year would be:

0.2667 x Rs. 3,00,000 = Rs. 80,010

A machine was bought at a cost of Rs. 5 lacs on 1.1.02. During its life of 10 years, it will be depreciated on SLM basis. On 31.12.08, the machine was sold for Rs. 50,000. Find out the profit/loss?
  • a)
    Loss of Rs. 1,50,000
  • b)
    Loss of 1,00,000
  • c)
    Profit of Rs. 1,00,000
  • d)
    Profit of Rs. 1,50,000
Correct answer is option 'B'. Can you explain this answer?

Mehul Saini answered
Given:
- Cost of the machine = Rs. 5,00,000
- Life of the machine = 10 years
- Depreciation method: Straight Line Method (SLM)
- Selling price of the machine = Rs. 50,000

To find:
- Profit or loss

Solution:

1. Calculate the annual depreciation:
- Depreciation = (Cost of the machine - Salvage value) / Useful life
- Salvage value = Selling price of the machine
- Useful life = 10 years

Depreciation = (5,00,000 - 50,000) / 10 = 4,50,000 / 10 = 45,000

2. Calculate the total depreciation for 7 years (2002-2008):
- Total depreciation = Annual depreciation * Number of years
- Number of years = 2008 - 2002 = 6 years

Total depreciation = 45,000 * 6 = 2,70,000

3. Calculate the book value of the machine on 31.12.08:
- Book value = Cost of the machine - Total depreciation
- Book value = 5,00,000 - 2,70,000 = 2,30,000

4. Calculate the profit/loss:
- Profit/Loss = Selling price - Book value
- Profit/Loss = 50,000 - 2,30,000 = -1,80,000

Since the result is negative, it indicates a loss.

Conclusion:
The machine was sold at a loss of Rs. 1,80,000. Therefore, option 'b' is the correct answer.

 Glass, Cutlery etc.: Balance on 01.01.2004 is Rs. 28,000. Glass, Cutlery, etc. purchased during the year Rs. 16,000. Depreciation is to be charged on the above assets as follows- 1/5th of their values is to be written off in the year of purchase and 2/5th in each of the next 2 years. Of the stock of Glass, Cutlery, etc. as on 01.01.2004, ½ was one year old and ½ was 2 years old. Purchases are made on 1st January. Closing Balance in Glass, Cutlery A/c = _________.
  • a)
    Rs. 18,000
  • b)
    Rs. 18,500
  • c)
    Rs. 19,800
  • d)
    Rs. 20,400
Correct answer is option 'C'. Can you explain this answer?

Chandan Sethi answered
On newly purchased glass & cutlery (machinery) 16000-3200=12800(balance) tricky question start now half of the machinery (14000) was to be completely written off because of its life completed and for the next half (14000) let cost be x from which 1/5 is written off & the remaining (14000) is 4/5 part of x (cost) then the cost = 17500 now written off 3/5 from the cost (1/5 + 2/5 ) the written off value is 10500 the remaining value is 17500-10500= 7000 now add 7000+12800 =19800

Chapter doubts & questions for Chapter 5: Depreciation and Amortisation - Accounting for CA Foundation 2025 is part of CA Foundation exam preparation. The chapters have been prepared according to the CA Foundation exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for CA Foundation 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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