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Class XI 📊 Accountancy Ch 7 of 9

Depreciation, Provisions and Reserves

CUET unit: Depreciation, Provisions and Reserves

📌 Snapshot

  • Spread an asset's cost over its life with SLM and WDV, then tell provisions from reserves with confidence.
  • Depreciation causes, the cost of an asset, SLM against WDV, and the two ways of recording depreciation.
  • Asset Disposal Account: profit or loss on sale, and the insurance claim when an asset is destroyed.
  • Provision as a charge against profit, reserve as an appropriation, and capital against revenue reserves.

📖 Detailed Notes

Written and reviewed by Devendra Dubey, Mathematics & Commerce faculty at UniDrill (M.Sc. Mathematics, Osmania University · 10 years teaching). Based on NCERT Accountancy Class XI (Financial Accounting Part I), Chapter 7.

Why one delivery van should not wipe out one year's profit

Kabir runs a courier service and buys a van for ₹6,00,000. The van will earn money for five years. If Kabir charges the whole ₹6,00,000 as an expense in year one, that year shows a huge loss and the next four years look unusually rich. Neither picture is true. The van was used up a little each year, and each year's profit should carry only its own share of that cost.

That share is depreciation. The second half of the chapter deals with a related question: when a firm keeps money back in its books, is it a cost (a provision) or a choice about profit (a reserve)? Getting this one distinction right is worth several marks every year.

What depreciation is, and what causes it

Depreciation is the permanent, continuing and gradual fall in the book value of a fixed asset because of use, passage of time or obsolescence. Four features matter for the exam. It lowers the book value. It is permanent and continuous. It is based on the cost of the asset, not its market value. And it is a non-cash expense: it reduces profit, but no money leaves the business when it is recorded.

Why account for it at all? Four reasons. It matches the cost of the asset with the revenue the asset helps earn. It gives a true and fair picture, because an old machine shown at its full cost would overstate the assets. It is a deductible expense for tax. And the law expects it.

Cause What happens Example
Wear and tear Physical use or the passage of time A delivery van's engine and tyres
Expiry of legal rights The right to use the asset ends A patent or a lease running out
Obsolescence New technology or changed demand makes it outdated A computer that is still working but too slow
Abnormal factors Accident, fire, flood, earthquake A machine damaged in a flood

Depreciation, depletion and amortisation. NTA likes to swap these words. The idea is the same (writing off a cost over time) but the asset differs.

Term Applies to Example
Depreciation Tangible fixed assets Machinery, furniture, vehicles
Depletion Natural resources that are extracted and used up Mines, quarries, oil wells
Amortisation Intangible assets Patents, copyrights, trademarks, goodwill

Three factors decide the amount

Every depreciation calculation uses three inputs.

Factor Meaning Includes
Cost of the asset The total spent to get the asset ready for use Invoice price, freight, transit insurance, installation, registration, commission, initial repairs on a second hand asset
Net residual (scrap) value What you expect to receive when you dispose of it at the end of its life, less the cost of disposal Estimated sale value minus dismantling cost
Useful life The economic life, not the physical life, in years, units of output or working hours A machine may last 15 years physically but be useful for 10

The amount that is actually spread over the life is the depreciable cost.

$$\text{Depreciable cost} = \text{Cost of asset} - \text{Net residual value}$$

Worked example: finding the cost and the SLM charge. A firm buys a machine with invoice price ₹3,20,000. It pays freight ₹12,000, transit insurance ₹3,000 and installation ₹15,000. In the first year it also pays ₹8,000 for maintenance. It expects to sell the machine for ₹40,000 after 10 years, paying ₹4,000 to dismantle it. Find the annual depreciation by the straight line method.

Step What we do Result
1 Add every cost of getting the machine ready for use 3,20,000 + 12,000 + 3,000 + 15,000 = ₹3,50,000
2 Leave out maintenance, which is a running cost of the year Not part of cost
3 Net residual value is sale value less disposal cost 40,000 − 4,000 = ₹36,000
4 Depreciable cost 3,50,000 − 36,000 = ₹3,14,000
5 Divide by useful life 3,14,000 ÷ 10 = ₹31,400 per year

Common wrong step. Starting from the invoice price alone (₹3,20,000) and missing freight, insurance and installation, or using ₹40,000 as the residual value. Anything spent to bring the asset to working condition goes into cost, and only the net scrap value is deducted.

Two methods: straight line and written down value

The straight line method (SLM) charges the same amount every year.

$$\text{Annual depreciation (SLM)} = \dfrac{\text{Cost} - \text{Net residual value}}{\text{Estimated useful life}}$$

The written down value method (WDV), also called the reducing balance method, applies a fixed percentage to the book value at the start of each year. Because the book value keeps falling, the charge falls every year too. If the rate is not given, it can be found from the cost $c$, the scrap value $s$ and the life $n$ years.

$$R = \left[1 - \sqrt[n]{\dfrac{s}{c}}\right] \times 100$$

Worked example: SLM and WDV side by side. A machine costs ₹1,00,000, has a life of 5 years and a residual value of ₹10,000. Show the charge and the book value each year under SLM and under WDV at 20%.

SLM charge: (1,00,000 − 10,000) ÷ 5 = ₹18,000 every year. WDV charge: 20% of the opening book value.

Year SLM charge (₹) SLM book value (₹) WDV charge (₹) WDV book value (₹)
1 18,000 82,000 20,000 80,000
2 18,000 64,000 16,000 64,000
3 18,000 46,000 12,800 51,200
4 18,000 28,000 10,240 40,960
5 18,000 10,000 8,192 32,768

SLM brings the book value down to exactly the residual value, ₹10,000. WDV leaves ₹32,768, and it would keep leaving something however long you continued.

Common wrong step. Charging 20% on the original ₹1,00,000 every year. That gives a constant ₹20,000 and is really SLM at 20% on cost. Under WDV the 20% must be applied to the reducing balance. Another slip is to deduct the residual value before applying the WDV rate, which the method does not do.

Pause and predict: under WDV at 10%, will the book value of an asset ever become exactly zero?

Check your answer: no. Each year you remove 10% of what remains, so 90% is always left. The balance shrinks towards zero but never reaches it, which is why a firm using WDV either sells the asset or writes off the last balance at disposal.

Quick check: finding the WDV rate. An asset costs ₹1,00,000. Its scrap value after 4 years is ₹6,250. Find the rate of depreciation under WDV.

Step What we do Result
1 Write $s/c$ 6,250 ÷ 1,00,000 = 0.0625
2 Take the 4th root $\sqrt[4]{0.0625} = 0.5$
3 Rate (1 − 0.5) × 100 = 50%
4 Test it Charges 50,000, 25,000, 12,500, 6,250 leave a book value of ₹6,250

Common wrong step. Forgetting the root and using $1 - s/c$, which gives 93.75%.

Which method suits which asset? SLM suits assets with little repair and little obsolescence, such as land, buildings and patents. WDV suits assets that need heavy repairs or become obsolete quickly, such as plant and vehicles.

Basis SLM WDV
Charged on Original cost Book value at the start of the year
Yearly charge Constant Falls every year
Book value at the end of life Reduces to scrap value Never reaches zero
Recognised by Income Tax law No Yes
Repairs plus depreciation over the years Rises with age as repairs increase Tends to stay more even, since repairs rise as depreciation falls

Beyond the textbook. For the exam: SLM is not recognised by Income Tax law, WDV is. In reality: the Income Tax Act computes depreciation on the written down value of blocks of assets at prescribed rates, which is the idea behind that statement. In company books the Companies Act allows either SLM or WDV. Why it matters: a firm's depreciation in its books and the depreciation allowed for tax can differ.

Recording depreciation: two ways

Method A: charge it to the asset account. Each year the asset account is credited, and the asset appears at its net book value.

Method B: create a Provision for Depreciation Account (also called Accumulated Depreciation). The asset stays at its original cost and the provision account collects the yearly charges. The balance sheet shows the asset at cost less the provision. Method B is more informative because the original cost is still visible.

Worked example: the same asset, both methods. A machine costs ₹1,00,000 and is depreciated at ₹10,000 a year. Show the entries for two years and the balance sheet after year 2.

Date Particulars L.F. Dr (₹) Cr (₹)
Year 1, Mar 31 Depreciation A/c ......... Dr. 10,000
To Machinery A/c 10,000
(Method A: depreciation credited to the asset)
Year 1, Mar 31 Profit and Loss A/c ......... Dr. 10,000
To Depreciation A/c 10,000
(Depreciation charged to profit)
Year 2, Mar 31 Depreciation A/c ......... Dr. 10,000
To Machinery A/c 10,000
(Method A: depreciation credited to the asset)
Year 2, Mar 31 Profit and Loss A/c ......... Dr. 10,000
To Depreciation A/c 10,000
(Depreciation charged to profit)
Total 40,000 40,000

Method B changes only the credit. In each year, Depreciation A/c Dr 10,000 and To Provision for Depreciation A/c 10,000, with the same transfer to Profit and Loss.

Balance sheet after year 2 Method A Method B
Machinery at cost 1,00,000
Less provision for depreciation 20,000
Machinery shown at 80,000 80,000

The balance sheet figure is the same. Only the information differs.

Common wrong step. In Method B, crediting the Machinery account anyway. The whole point of the provision is that the asset keeps its original cost.

Beyond the textbook. For the exam: depreciation is a non-cash expense. In reality: charging depreciation does not put any cash aside. The cash stays in the business and gets used, so replacing the machine later needs money from profits or a loan unless the firm deliberately invests funds for it. Why it matters: a question may ask "does recording depreciation reduce cash?" and the answer is no.

Disposal of an asset

When an asset is sold, a single Asset Disposal Account collects everything about it. The original cost goes to its debit. The accumulated depreciation and the sale proceeds go to its credit. The balancing figure is the profit or loss, moved to Profit and Loss.

$$\text{Profit or loss on sale} = \text{Sale proceeds} - (\text{Cost} - \text{Accumulated depreciation})$$

A positive answer is a profit and a negative one is a loss.

Worked example: a machine is sold. A machine costing ₹4,00,000 has accumulated depreciation of ₹1,80,000 and is sold for ₹2,50,000. Pass the entries and find the profit or loss.

Step What we do Result
1 Book value 4,00,000 − 1,80,000 = ₹2,20,000
2 Compare with sale price 2,50,000 − 2,20,000 = ₹30,000 profit
Date Particulars L.F. Dr (₹) Cr (₹)
Mar 31 Asset Disposal A/c ......... Dr. 4,00,000
To Machinery A/c 4,00,000
(Cost of machine transferred)
Mar 31 Provision for Depreciation A/c ......... Dr. 1,80,000
To Asset Disposal A/c 1,80,000
(Accumulated depreciation transferred)
Mar 31 Bank A/c ......... Dr. 2,50,000
To Asset Disposal A/c 2,50,000
(Sale proceeds received)
Mar 31 Asset Disposal A/c ......... Dr. 30,000
To Profit and Loss A/c 30,000
(Profit on sale transferred)
Total 8,60,000 8,60,000
Asset Disposal Account Amount (₹) Asset Disposal Account Amount (₹)
To Machinery A/c 4,00,000 By Provision for Depreciation A/c 1,80,000
To Profit and Loss A/c (profit) 30,000 By Bank A/c 2,50,000
Total 4,30,000 Total 4,30,000

Common wrong step. Comparing the sale price with the original cost: 2,50,000 − 4,00,000 looks like a loss of ₹1,50,000. The asset was already written down by ₹1,80,000 in earlier profits, so only the book value of ₹2,20,000 is compared.

Worked example: an asset destroyed by fire. Plant costing ₹2,00,000 with accumulated depreciation of ₹80,000 is destroyed by fire. The insurance company settles the claim at ₹1,00,000. Find the loss.

Step What we do Result
1 Book value at destruction 2,00,000 − 80,000 = ₹1,20,000
2 Insurance claim receivable ₹1,00,000
3 Shortfall is the loss 1,20,000 − 1,00,000 = ₹20,000
Date Particulars L.F. Dr (₹) Cr (₹)
Mar 31 Asset Disposal A/c ......... Dr. 2,00,000
To Plant A/c 2,00,000
(Cost of plant transferred)
Mar 31 Provision for Depreciation A/c ......... Dr. 80,000
To Asset Disposal A/c 80,000
(Accumulated depreciation transferred)
Mar 31 Insurance Company A/c ......... Dr. 1,00,000
To Asset Disposal A/c 1,00,000
(Insurance claim admitted)
Mar 31 Profit and Loss A/c ......... Dr. 20,000
To Asset Disposal A/c 20,000
(Loss on destruction transferred)
Total 4,00,000 4,00,000

Common wrong step. Treating the whole book value of ₹1,20,000 as the loss and forgetting the insurance claim.

Additions to an asset. If an addition becomes an integral part of an existing asset, it is depreciated over the remaining useful life of that asset. If it has a separate identity, it is depreciated over its own useful life.

Provisions and reserves: charge or appropriation?

Both are amounts kept back in the books, but the logic is opposite.

A provision is an amount set aside for a known liability or loss whose exact amount cannot yet be measured, such as depreciation, doubtful debts, discount on debtors or taxation. It is debited to the Profit and Loss Account, so it is a charge against profit and reduces profit before it is worked out.

A reserve is a part of profit kept back to strengthen the business or to meet future needs. It is made from profit that has already been calculated, so it is an appropriation of profit. It appears on the liabilities side after capital.

Basis Provision Reserve
Nature Charge against profit Appropriation of profit
Purpose A known liability or loss, amount uncertain Strengthen the business or meet future needs
Effect on profit Reduces profit Does not reduce profit; it uses profit
Needs profit? No. Made even in a loss Yes. Cannot be created without profit
Balance sheet Usually deducted from the asset it relates to Shown on the liabilities side
Paid as dividend? No A general reserve can be

Worked example: charge or appropriation? A firm earns ₹2,00,000 before provision. Debtors are ₹1,20,000 and it makes a 5% provision for doubtful debts. It then transfers ₹50,000 to general reserve. Show the effect on profit and pass the entries.

Step What we do Result
1 Provision is a charge 5% of 1,20,000 = ₹6,000
2 Net profit after the charge 2,00,000 − 6,000 = ₹1,94,000
3 Reserve is an appropriation of that profit 1,94,000 − 50,000 = ₹1,44,000 left to distribute
Date Particulars L.F. Dr (₹) Cr (₹)
Mar 31 Profit and Loss A/c ......... Dr. 6,000
To Provision for Doubtful Debts A/c 6,000
(5% provision on debtors of ₹1,20,000, a charge)
Mar 31 Profit and Loss Appropriation A/c ......... Dr. 50,000
To General Reserve A/c 50,000
(Profit transferred to reserve, an appropriation)
Total 56,000 56,000

Common wrong step. Calling the Provision for Doubtful Debts a reserve because "money is kept aside". It is a charge against profit and is made even in a loss year.

Pause and predict: a firm makes a loss this year. Can it still create a provision for doubtful debts? Can it create a general reserve?

Check your answer: it can create the provision, because a provision is a charge and does not depend on profit. It cannot create a general reserve, because a reserve is taken out of profit and there is none.

Kinds of reserves

Classification Type Meaning Examples
By purpose General reserve Created without a specific purpose, also called a free reserve General reserve
By purpose Specific reserve Created for a named purpose Dividend equalisation reserve, workmen compensation fund, investment fluctuation fund, debenture redemption reserve
By source Revenue reserve Created out of normal operating profits, so available for dividend General reserve and most specific reserves
By source Capital reserve Created out of capital profits, so not available for dividend Premium on issue of shares or debentures, profit on sale of fixed assets, profit on revaluation

A capital reserve can be used to write off capital losses or to issue bonus shares, but not to pay a dividend.

A secret reserve is not disclosed on the balance sheet. It is created by understating profit, for example by charging excessive depreciation, undervaluing stock, treating capital expenditure as revenue or making excessive provisions. It hides the true financial position, so joint stock companies may not create one.

Beyond the textbook. For the exam: a secret reserve is built by understating profit or assets, and companies are not allowed to keep one. In reality: accounts are expected to give a true and fair view, and audited company accounts must disclose their reserves. A hidden reserve misleads shareholders and lenders, because it makes a healthy year look weak. Why it matters: every method on the list pushes in the same direction, towards lower profit or lower assets than the facts support, so a question that offers "excessive depreciation" as a cause is right and "insufficient depreciation" is wrong.

Exam traps

The trap Why it's tempting The truth
"WDV brings the book value to zero." The charge keeps being made every year WDV applies a percentage to a shrinking balance, so it never reaches zero. SLM is the one that reaches scrap
"SLM is recognised by Income Tax law." SLM is the simplest method WDV is recognised
"Depletion applies to patents." Both are writing off a cost Depletion is for natural resources. Patents are amortised
"A reserve is a charge against profit." Both reduce the amount available to the owner A provision is a charge. A reserve is an appropriation
"Capital reserve can pay dividends." It is a reserve It comes from capital profit and cannot pay a dividend
"Cost excludes installation." Installation is spent after buying Installation, freight and insurance are all part of cost
"WDV rate is applied to the original cost each year." The rate is a fixed percentage It is applied to the opening book value of the year
"A secret reserve is made by charging too little depreciation." Less depreciation looks safer Too much depreciation understates profit, which creates the hidden reserve

Formats and formula sheet

Quantity Formula When to use
Cost of asset $\text{Price} + \text{freight} + \text{insurance} + \text{installation} + \text{registration}$ Base for depreciation
Depreciable cost $\text{Cost} - \text{Net residual value}$ Amount spread over the life
SLM charge $\dfrac{\text{Cost} - \text{Residual}}{\text{Life}}$ Equal yearly charge
WDV charge in year $k$ $\text{Rate} \times \text{Opening book value of year } k$ Declining yearly charge
WDV rate $\left[1 - \sqrt[n]{s/c}\right] \times 100$ When scrap value and life are given
Book value $\text{Cost} - \text{Accumulated depreciation}$ Disposal and balance sheet
Profit or loss on sale $\text{Sale proceeds} - \text{Book value}$ Asset Disposal Account
Loss on destruction $\text{Book value} - \text{Insurance claim}$ Asset destroyed by fire

Entries at a glance.

Event Entry
Depreciation, Method A Depreciation Dr, Asset Cr
Depreciation, Method B Depreciation Dr, Provision for Depreciation Cr
Depreciation to profit Profit and Loss Dr, Depreciation Cr
Provision for doubtful debts Profit and Loss Dr, Provision for Doubtful Debts Cr
Transfer to general reserve Profit and Loss Appropriation Dr, General Reserve Cr

60-second revision

Topic Lock this in
Depreciation Permanent fall in book value of a fixed asset. Cost based. Non-cash expense
Four causes Wear and tear, expiry of legal rights, obsolescence, abnormal factors
Depletion, amortisation Natural resources, intangible assets
Cost Price + freight + insurance + installation + registration
SLM (Cost − residual) ÷ life. Constant charge. Reaches scrap value
WDV Rate × opening book value. Falling charge. Never reaches zero. Recognised for tax
Recording Method A credits the asset. Method B credits the provision and keeps cost
Disposal Cost Dr, depreciation Cr, sale Cr, balance = profit or loss
Provision Charge against profit, needs no profit, cannot pay dividend
Reserve Appropriation of profit, needs profit, general reserve can pay dividend
Capital reserve From capital profits. Not available for dividend
Secret reserve Understated profit, excess depreciation. Prohibited for companies

Where this chapter connects

🎯 Practice MCQs

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Q1. Which of the following is NOT a cause of depreciation?

▸ Show answer & explanation

Answer: C

The causes are wear and tear, expiry of legal rights, obsolescence and abnormal factors such as accidents or floods. Depreciation is based on cost, so market price changes are not a cause.

Q2. A machine is bought for ₹50,000 and ₹5,000 is spent on its installation. Its useful life is 10 years and its net residual value is ₹5,000. Annual depreciation under SLM is:

▸ Show answer & explanation

Answer: B

Cost = 50,000 + 5,000 = 55,000. Depreciation = (55,000 − 5,000) ÷ 10 = ₹5,000. Option A ignores installation. Option D ignores the residual value.

Q3. An asset costs ₹1,00,000 and has a scrap value of ₹6,250 after 4 years. The rate of depreciation under the WDV method is:

▸ Show answer & explanation

Answer: C

R = (1 − the 4th root of 6,250 ÷ 1,00,000) × 100 = (1 − 0.5) × 100 = 50%. Option D comes from forgetting the root and using 1 − s/c.

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