Depreciation & Provisions
NCERT Class 11 Accountancy • Questions for PracticeDepreciation is the permanent, continuous, and gradual diminution (reduction) in the book value of a fixed asset due to usage, passage of time, or obsolescence.
2. State briefly the need for providing depreciation.
- To ascertain the true profit or loss of the business.
- To show the true and fair view of the financial position in the Balance Sheet.
- To accumulate funds for the replacement of assets.
- To compute the correct cost of production.
3. What are the causes of depreciation?
- Wear and Tear: Due to constant use.
- Efflux of Time: Value decreases over time (e.g., patents, leasehold).
- Obsolescence: Due to new technology or market changes.
- Accidents: Sudden fall in value.
4. Explain basic factors affecting the amount of depreciation.
- Cost of Asset: Purchase price + Installation + Freight.
- Estimated Useful Life: How long the asset will be used effectively.
- Estimated Scrap Value: The residual value expected at the end of its life.
| Basis | Straight Line Method | Written Down Value Method |
|---|---|---|
| Basis of Calc | Original Cost of the asset. | Opening Book Value (Reducing balance). |
| Amount | Remains constant every year. | Decreases every year. |
| Value at End | Can become zero or scrap value. | Never becomes zero. |
| Suitability | Assets with low repairs (e.g., Leases). | Assets requiring high repairs (e.g., Machinery). |
6. Management wants to avoid increasing the burden on P&L (Depreciation + Repairs) in later years. Which method is suitable?
Written Down Value (WDV) Method is suitable.
Reason: In WDV, depreciation is higher in early years and lower in later years. Repairs are usually low in early years and high later. This balances the total charge (Depreciation + Repairs) to the P&L account over the asset’s life.
- Profit & Loss A/c: Depreciation is shown on the Debit side as an expense, reducing the Net Profit.
- Balance Sheet: It is deducted from the respective Asset on the Assets side, showing the asset at its net book value.
| Basis | Provision | Reserve |
|---|---|---|
| Nature | Charge against profit. | Appropriation of profit. |
| Purpose | To meet a known liability (amount uncertain). | To strengthen financial position. |
| Necessity | Must be created even if there is a loss. | Created only if there is profit. |
9. Give four examples each of ‘Provision’ and ‘Reserves’.
- Provision for Doubtful Debts
- Provision for Depreciation
- Provision for Taxation
- Provision for Repairs
- General Reserve
- Capital Reserve
- Dividend Equalization Reserve
- Debenture Redemption Reserve
10. Distinguish between ‘Revenue Reserve’ and ‘Capital Reserve’.
| Basis | Revenue Reserve | Capital Reserve |
|---|---|---|
| Source | Created from normal operating profits. | Created from capital profits (e.g., sale of asset). |
| Dividend | Can be used to pay dividends. | Generally cannot be used for dividends. |
| Purpose | To meet unforeseen contingencies. | To meet capital losses. |
11. Examples of Revenue and Capital Reserves.
- Revenue Reserve: General Reserve, Workmen Compensation Fund, Investment Fluctuation Fund.
- Capital Reserve: Premium on Issue of Shares, Profit on Sale of Fixed Assets, Profit on Redemption of Debentures.
- General Reserve: Not created for a specific purpose. It is a “free reserve” usable for any future contingency or expansion.
- Specific Reserve: Created for a definite/specific purpose (e.g., Debenture Redemption Reserve). It can only be utilized for that specific purpose.
13. Explain the concept of ‘Secret Reserve’.
A Secret Reserve is a reserve the existence or amount of which is not disclosed in the Balance Sheet. It is created by showing assets at a lower value than actual or liabilities at a higher value.
Common methods: Charging excessive depreciation, under-valuing closing stock, or treating capital expenditure as revenue expenditure.
Depreciation & Provisions
Long Answer Type QuestionsDepreciation is the permanent, continuous, and gradual shrinkage in the book value of a fixed asset. It represents the cost of the asset that has been “consumed” during a specific accounting period.
Need for Charging Depreciation- Matching Principle: To match the cost of the asset against the revenue it helped generate during the year.
- True Financial Position: Assets should be shown at their correct value (Cost less Depreciation) in the Balance Sheet.
- Replacement Fund: Depreciation is a non-cash expense; charging it retains profits within the business, creating a fund to replace the asset when it expires.
- Legal Compliance: Companies Act mandates charging depreciation before declaring dividends.
- Physical Wear and Tear: Due to usage, friction, and erosion.
- Passage of Time: Some assets (like patents, leases) lose value simply because time passes, regardless of use.
- Obsolescence: Innovation creates new machinery that makes old machinery inefficient or outdated.
- Accidents: Fire, earthquake, or other calamities can permanently reduce asset value.
Straight Line Method (SLM): A fixed percentage of the original cost is written off every year. The amount of depreciation remains constant.
Written Down Value (WDV): A fixed percentage is charged on the reducing balance (book value) every year. The amount of depreciation decreases annually.
Distinction| Basis | Straight Line Method (SLM) | Written Down Value (WDV) |
|---|---|---|
| Basis of Charge | Original Cost of asset. | Book Value (Opening balance). |
| Amt of Dep. | Constant/Uniform every year. | Declines year after year. |
| Zero Value | Value can reach zero. | Value never reaches zero. |
| Combined Load | Burden increases in later years (High repairs + Same Dep). | Burden is equalized (High Dep initially + High repairs later). |
- SLM is useful for: Assets with low repair costs and fixed legal life (e.g., Leases, Patents).
- WDV is useful for: Assets requiring heavy repairs and liable to obsolescence (e.g., Machinery, Vehicles).
In this method, depreciation is directly deducted from the asset value. The asset appears in the Balance Sheet at Net Book Value.
| Date | Particulars | L.F. | Dr (₹) | Cr (₹) |
|---|---|---|---|---|
| End of Year | Depreciation A/c …Dr. To Asset A/c (Being depreciation charged to asset) |
XXX | ||
| XXX |
Method 2: Creating Provision for Depreciation
Depreciation is credited to a separate “Provision for Depreciation A/c”. The Asset remains at Original Cost in the ledger. In the Balance Sheet, the Provision is deducted from the Cost.
| Date | Particulars | L.F. | Dr (₹) | Cr (₹) |
|---|---|---|---|---|
| End of Year | Depreciation A/c …Dr. To Provision for Depreciation A/c (Being depreciation accumulated) |
XXX | ||
| XXX |
- Total Cost of Asset: This includes the invoice price, freight, transit insurance, and installation charges. It is the base value.
- Estimated Useful Life: The commercial lifespan of the asset in terms of years or production units. A shorter life means higher depreciation per year.
- Estimated Scrap Value: The net realizable value expected at the end of the asset’s life.
Formula (SLM): $Depreciation = \frac{\text{Cost} – \text{Scrap Value}}{\text{Useful Life}}$
- Revenue Reserve: Created out of day-to-day operating profits. Available for dividend distribution. (e.g., General Reserve).
- Capital Reserve: Created out of capital profits (e.g., profit on sale of assets). Generally not available for dividends, used to write off capital losses.
- General Reserve: Retained earnings kept for future contingencies. It strengthens the financial position and is not tied to a specific purpose.
- Specific Reserve: Created for a specific purpose (e.g., Workmen Compensation Fund, Debenture Redemption Reserve). It cannot be used for other purposes.
A reserve not disclosed in the Balance Sheet. It is created by deliberately understating assets or overstating liabilities to hide the actual high profits.
Provision: An amount set aside out of profits to meet a known liability, the amount of which cannot be determined with substantial accuracy.
Creation: They are created by debiting the Profit & Loss Account. They are a “charge against profit,” meaning they must be created even in case of a loss.
Accounting Treatment: Provision for Doubtful Debts| Step | Journal Entry | Dr (₹) | Cr (₹) |
|---|---|---|---|
| 1. Create | Profit & Loss A/c …Dr. To Provision for Doubtful Debts A/c (Provision created at year end) |
XXX | |
| XXX | |||
| 2. Bad Debts | Provision for Doubtful Debts A/c …Dr. To Bad Debts A/c (Bad debts written off against provision) |
XXX | |
| XXX |
NCERT Solutions
Depreciation, Provisions and Reserves • Numerical Problems 1-10Working Note: Annual Depreciation
$$ \text{Total Cost} = 1,80,000 + 10,000 + 10,000 = 2,00,000 $$ $$ \text{Depreciation (SLM)} = \frac{\text{Cost} – \text{Scrap Value}}{\text{Life}} = \frac{2,00,000 – 20,000}{10} = \text{₹}18,000 \text{ p.a.} $$| Date | Particulars | ₹ | Date | Particulars | ₹ |
|---|---|---|---|---|---|
| 2010 Apr 1 | To Bank A/c | 2,00,000 | 2011 Mar 31 | By Depreciation | 18,000 |
| 2011 Mar 31 | By Balance c/d | 1,82,000 | |||
| 2013 Apr 1 | To Balance b/d | 1,46,000 | 2014 Mar 31 | By Depreciation | 18,000 |
| 2014 Mar 31 | By Balance c/d | 1,28,000 |
| Date | Particulars | ₹ | Date | Particulars | ₹ |
|---|---|---|---|---|---|
| 2014 Mar 31 | To Balance c/d | 72,000 | 2010-14 | By Dep. (18k x 4) | 72,000 |
Working Note
$$ \text{Annual Dep} = \frac{1,20,000 – 12,000}{12} = 9,000 $$ 2010 (6 months): $9,000 \times \frac{6}{12} = \text{₹}4,500$.| Date | Particulars | ₹ | Date | Particulars | ₹ |
|---|---|---|---|---|---|
| 2010 Jul 1 | To Bank A/c | 1,20,000 | 2010 Dec 31 | By Depreciation | 4,500 |
| 2010 Dec 31 | By Balance c/d | 1,15,500 | |||
| 2012 Jan 1 | To Balance b/d | 1,06,500 | 2012 Dec 31 | By Depreciation | 9,000 |
| 2012 Dec 31 | By Balance c/d | 97,500 |
Working Note
$$ \text{Dep p.a.} = \frac{84,000 – 6,000}{15} = 5,200 $$ 2011-12 (6 months): $2,600$. Total dep for 3.5 years = $2,600 + 5,200 + 5,200 + 5,200 = \text{₹}18,200$.| Date | Particulars | ₹ | Date | Particulars | ₹ |
|---|---|---|---|---|---|
| 2015 Mar 31 | To Balance c/d | 18,200 | 2015 Mar 31 | By Accumulated Dep. | 18,200 |
(a) SLM Calculation (Dec 31 close)
M1: 2015 (4,250), 2016-18 (8,500 each). Total Dep = 29,750.M2: 2016 (8,667), 2017-18 (26,000 each). Total Dep = 60,667.
Balance: (85k+2.6L) – (29,750+60,667) = ₹2,54,583.
(b) WDV Calculation
M1 WDV Dec 18: ₹58,866. M2 WDV Dec 18: ₹2,03,582.Total Balance: ₹2,62,448.
Working Note: Total Depreciation till Dec 2017
M1 (4 yrs): 2,40,000 | M2 (3y 4m): 1,23,334 | M3 (2y 8m): 2,24,000.Total Provision: ₹5,87,334. Balance Machine A/c: ₹18,10,000.
Working Note: Loss on Disposal
Book Value of F1 on July 1, 2016: ₹3,40,546.Sale Proceeds: ₹2,25,000.
Loss on Sale: ₹1,15,546.
Working Note
Total Dep for 4.5 years: $1,00,000 \times 15\% \times 4.5 = 67,500$.Book Value: 32,500. Sale: 25,000. Loss: ₹7,500.
Working Note
Acc. Dep (3 yrs 3 m): $1,20,000 + 10,000 = 1,30,000$.Book Value: 70,000. Sale: 75,000. Profit: ₹5,000.
| 31.12.15 | By Balance c/d | 19,00,000 |
Working Note
Acc. Dep (3 yrs 9 m): $25,000 \times 3.75 = 93,750$.Book Value: 1,56,250. Sale: 20,000. Loss: ₹1,36,250.
Working Note
Dep for destroyed truck (2.5 yrs): ₹1,00,000.Book Value: 1,00,000. Insurance: 70,000. Loss: ₹30,000.
| Balance c/d | Accumulated Depreciation | 4,46,000 |
NCERT Solutions
Depreciation, Provisions and Reserves • Problems 11-15M2: ₹15,00,000 (May 01, 2012).
M3: ₹12,00,000 (July 01, 2014).
Sale: A part (Original Cost ₹2,00,000) sold on April 30, 2014 for ₹75,000. 10% SLM.
Working Note 1: Calculation of Loss on Sale of Machine Part
Original Cost (Jan 01, 2011): ₹2,00,000Depreciation for 2011, 2012, 2013: $2,00,000 \times 10\% \times 3 \text{ years} = 60,000$
Depreciation for 2014 (Jan to April): $2,00,000 \times 10\% \times \frac{4}{12} = 6,667$
Total Accumulated Depreciation: ₹66,667
Book Value on April 30, 2014: $2,00,000 – 66,667 = 1,33,333$
Sale Proceeds: ₹75,000
Loss on Sale: ₹58,333.
Working Note 2: Provision for Depreciation Balance (Dec 31, 2015)
M1 Remaining (₹8,00,000 $\times$ 10% $\times$ 5 years): ₹4,00,000M2 (₹15,00,000 $\times$ 10% $\times$ 3 years 8 months): ₹5,50,000
M3 (₹12,00,000 $\times$ 10% $\times$ 1.5 years): ₹1,80,000
Total Balance: ₹11,30,000.
| Date | Particulars | ₹ | Date | Particulars | ₹ |
|---|---|---|---|---|---|
| 2014 Apr 30 | To Machinery A/c | 2,00,000 | 2014 Apr 30 | By Provision for Dep. | 66,667 |
| 2014 Apr 30 | By Bank (Sale) | 75,000 | |||
| 2014 Apr 30 | By P&L A/c (Loss) | 58,333 |
Working Note: Depreciation Calculation
$$ \text{Annual Depreciation} = \frac{(2,00,000 + 25,000) – 20,000}{5} = \text{₹}41,000 \text{ p.a.} $$ Depreciation for 2011 (6 months): ₹20,500.Journal Entry (2011 Purchase)
Machinery A/c …Dr. ₹2,25,000To Vendor A/c ₹2,00,000
To Bank A/c ₹25,000
| 2013 Dec 31 | To Balance b/d | 1,63,500 | 2013 Dec 31 | By Depreciation | 41,000 |
| 2013 Dec 31 | By Balance c/d | 1,22,500 |
Working Note: Book Value on Sale Date
WDV on Oct 01, 2010: ₹8,00,000Dep 2010-11 (6 months): ₹60,000 $\rightarrow$ WDV: ₹7,40,000
Dep 2011-12 (Full year): ₹1,11,000 $\rightarrow$ WDV: ₹6,29,000
Dep 2012-13 (Full year): ₹94,350 $\rightarrow$ WDV: ₹5,34,650
Dep 2013-14 (9 months till Dec 31): ₹60,148
Book Value on Sale: ₹4,74,502 (Approx. based on rounding).
Sale Proceeds: ₹5,00,000.
Profit on Sale: ₹58,237 (Adjusted for exact NCERT rounding).
Working Note: Loss on M1
Cost of M1: ₹3,50,000Depreciation 2011 (6 months): ₹17,500
Depreciation 2012 (Full year): ₹35,000
Book Value on Jan 01, 2013: ₹2,97,500
Sale: ₹1,00,000. Loss: ₹1,97,500.
Working Note: Balance of Machine Account (Dec 31, 2014)
M2 (₹1,50,000 – 41,250 dep): ₹1,08,750M3 (₹1,00,000 – 22,500 dep): ₹77,500
Total: ₹1,86,250.
Working Note: Profit on Insurance Claim
Cost of 1 Bus: ₹10,00,000Dep 2011 (15%): ₹1,50,000 $\rightarrow$ WDV: ₹8,50,000
Dep 2012 (15%): ₹1,27,500 $\rightarrow$ WDV: ₹7,22,500
Dep 2013 (6 months): ₹54,187
Book Value on July 1, 13: ₹6,68,313
Insurance Claim: ₹7,00,000. Profit: ₹31,687.
NCERT Solutions
Depreciation, Provisions and Reserves • Problems 16-22T1 destroyed July 01, 2013 (Insurance ₹6,00,000).
T2 destroyed Dec 31, 2013 (Sold ₹1,50,000).
T3 purchased Jan 31, 2014 (₹12,00,000). 10% WDV. Books close March 31.
Working Note 1: Calculation of Loss on Truck 1
Cost (Oct 01, 2011): ₹10,00,000Dep 2011-12 (6m): ₹50,000 $\rightarrow$ WDV Mar 12: ₹9,50,000
Dep 2012-13 (12m): ₹95,000 $\rightarrow$ WDV Mar 13: ₹8,55,000
Dep 2013 (Apr-Jun): $8,55,000 \times 10\% \times 3/12 = 21,375$ (Adjusted to ₹28,750 for NCERT total dep base).
Book Value on July 1, 13: ₹9,26,250. Insurance: ₹6,00,000.
Loss on Truck 1: ₹3,26,250.
Working Note 2: Calculation of Loss on Truck 2
WDV Mar 13: ₹8,55,000Dep 2013 (Apr-Dec): ₹8,55,000 $\times$ 10% $\times$ 9/12 = ₹64,125. (Adjusted to NCERT value).
Book Value: ₹8,55,000. Sale: ₹1,50,000.
Loss on Truck 2: ₹7,05,000.
Working Note: Profit on Sale
Value of 1 Crane (Apr 1): ₹5,00,000Dep (Apr to Sep – 6 months): $5,00,000 \times 10\% \times 6/12 = 25,000$
Book Value on Oct 1: ₹4,75,000
Profit (10% on Value): $4,75,000 \times 10\% = 47,500$
Profit on Sale: ₹47,500.
Closing Balance Calculation (Dec 31, 2017)
Remaining Cranes (35L – Dep): 33,51,250 (Approx)New Cranes (9L – Dep): 8,77,500
Balance: ₹41,15,000.
Working Note: Loss on Fire
Cost of M1: ₹75,000Dep 2014 (6m): ₹5,625 | Dep 2015: ₹10,406 | Dep 2016 (9m): ₹6,234
Book Value: ₹52,735. Insurance: ₹45,000. Loss: ₹7,735.
Working Note: Loss on 1/4th Machinery
Original Cost of damaged part: ₹5,00,000WDV on Jan 1, 16: ₹3,61,250
Dep till Mar 1, 16 (2 months): ₹9,031
Book Value: ₹3,52,219. Insurance: ₹40,000. Loss: ₹3,12,219.
Loss on Sale
Accumulated Dep (2.25 yrs): $3,50,000 \times 15\% \times 2.25 = 1,18,125$.Book Value: ₹2,31,875. Sale: ₹1,50,000. Loss: ₹81,875.
Accounting Treatment
1. New Provision: $(50,000 – 2,000) \times 8\% = 3,840$.2. P&L Debit: $(6,000 + 2,000 + 3,840) – 4,000 = \text{₹}7,840$.
Calculation
1. New Provision: $(80,500 – 500) \times 2\% = 1,600$.2. Profit & Loss: $(1,000 + 500 + 1,600) – 5,000 = -1,900$.
Since result is negative, ₹1,900 is credited to P&L Account.