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Hire purchase and instalment accounting

Commerce (General / Accounting and Finance / Banking and Insurance) (B.Com) · Financial accounting · free study notes for exams, placements and interviews

In short

Hire purchase (HP) is a financing arrangement in which the buyer (hirer) takes possession of an asset at once, pays a down payment and a series of instalments, and becomes the owner only on paying the last instalment; until then the transaction is a bailment coupled with an option to purchase. The instalment payment system looks similar but ownership passes immediately on delivery, so the seller cannot take the goods back — only sue for the unpaid price. Accounting has to split every instalment into principal (cash price) and interest (hire purchase charges), capitalise the asset at cash price and charge depreciation on it. The topic is a standing 12-16 mark question in B.Com financial accounting papers and in CA/CS/CMA Foundation and Inter, and it is applied daily in vehicle and equipment finance by NBFCs, in dealer accounting and in asset-leasing teams.

Explained

Meaning, parties and legal position in India

Hire purchase versus instalment payment system versus lease

Computation of interest — the three standard situations

  1. Cash price and rate both given: interest for a period = outstanding cash price at the beginning × rate. Balance of the instalment reduces the principal. (Interest is *never* calculated on the down payment.)
  2. Cash price given, rate not given: total interest = HP price − cash price; apportion it over the instalments in the ratio of amounts outstanding at the start of each period (for equal instalments this becomes n : (n−1) : … : 1, the sum-of-digits rule).
  3. Rate given, cash price not given: discount the instalments to present value — either by the annuity table (cash price = down payment + instalment × PVAF) or by working backwards from the last instalment, dividing by (1 + r) each step.
  4. Where instalments are paid at the beginning of each period (annuity due), use the annuity-due factor = PVAF × (1 + r).

Books of the hirer

Books of the hire vendor

Default, repossession and termination

Advantages and limitations

Key points

Formulas and examples

Hire purchase price (HPP) = Down payment + Σ Instalments
Total interest (HP charges) = HPP − Cash price (CP)
Interest for a period = Outstanding cash price at start × r (r = rate per period, as a decimal)
Principal repaid in an instalment = Instalment − Interest of that period
Rate not given: Interest in period n = Total interest × (Balance outstanding in period n ÷ Σ of all outstanding balances)
Cash price not given (annuity): CP = Down payment + Instalment × PVAF(r, n), where PVAF = [1 − (1 + r)−n] ÷ r
Backward working: Opening outstanding = (Closing outstanding + Instalment) ÷ (1 + r)
Depreciation (WDV) = Opening book value × d; (SLM) = (Cash price − Scrap) ÷ Life
Loss on repossession (hirer) = Book value of asset surrendered − Agreed repossession value
Loading (if x% on cost) = HP price × x ÷ (100 + x); Stock reserve = Loading × Closing HP stock at HP price ÷ HP price
Approximate effective rate ≈ 2 × n × Flat rate ÷ (n + 1), for n equal periodic instalments

Example 1 — Cash price and rate given (full schedule, hirer's books). Machine, cash price ₹4,00,000, bought 1 April 2024. Down payment ₹1,00,000; balance in 3 annual instalments of ₹1,00,000 principal plus interest at 10% p.a. on the outstanding balance. Depreciation 20% p.a. WDV.

YearOpening balance ₹Interest @10% ₹Instalment ₹Principal ₹Closing ₹
13,00,00030,0001,30,0001,00,0002,00,000
22,00,00020,0001,20,0001,00,0001,00,000
31,00,00010,0001,10,0001,00,000Nil

Example 2 — Rate given, cash price not given (working backwards). Down payment ₹1,00,000 and three annual instalments of ₹1,33,100 each; interest 10% p.a.

Example 3 — Rate not given (ratio of outstanding balances). Cash price ₹60,000; down payment ₹15,000; three equal annual instalments of ₹18,000.

Example 4 — Repossession. (a) *Complete:* taking Example 1, the hirer defaults immediately after the second instalment (start of year 3, before any year-3 interest or depreciation) and the vendor repossesses in full settlement. Asset book value = ₹2,56,000; vendor's balance = ₹1,00,000. Entry: *Hire Vendor A/c Dr 1,00,000; Loss on Repossession A/c Dr 1,56,000 — To Machinery A/c 2,56,000.* (b) *Partial:* two machines, cash price ₹1,00,000 each, hirer depreciates 10% SLM. After two years each stands at ₹80,000. The vendor repossesses one, valuing it at 20% p.a. WDV: 1,00,000 → 80,000 → ₹64,000. Entry: *Hire Vendor Dr 64,000; Loss on Repossession Dr 16,000 — To Machinery 80,000.* The retained machine stays at ₹80,000.

Example 5 — Hire Purchase Trading Account (vendor, loading 50% on cost). Goods sold on HP during 2025-26 at HP price ₹3,00,000 (cost ₹2,00,000); cash collected ₹2,20,000; instalments due but unpaid ₹20,000; goods with hirers (instalments not yet due) at HP price ₹60,000. No opening balances.

Dr ₹Cr ₹
To Goods sold on HP (HP price)3,00,000By Cash received2,20,000
To Stock Reserve c/d (loading on HP stock)20,000By HP Debtors c/d20,000
To Profit and Loss A/c (profit)80,000By HP Stock c/d (HP price)60,000
By Goods sold on HP — loading1,00,000
4,00,0004,00,000

Check: loading is 1/3 of HP price (50% on cost) → total loading ₹1,00,000; unrealised portion in closing stock = 60,000 × 1/3 = ₹20,000; realised profit = ₹80,000 ✓.

BasisHire purchaseInstalment payment system
OwnershipOn last instalmentOn delivery
NatureBailment + option to buyOutright credit sale
Risk of loss of goodsVendor (owner)Buyer
Default remedyRepossess the goodsSue for the unpaid price
Right to returnHirer may terminateNo right to return
Resale by buyerCannot pass good titleCan sell or mortgage
Instalment elementHire + part pricePrice + interest

Where it is used

Interview questions

Common mistakes

Related topics

Depreciation · Journal, ledger and trial balance · Final accounts · Branch and departmental accounts · Company accounts and Ind AS basics · Key Ind AS standards explained

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