hire purchase and installment system-with Examples, solution,

hire purchase and installment system

Table of content

  1. what is hire purchase system.
  2. characteristics of hire purchase system
  3. terms used in hire purchase agreement.
  4. installment. payment system
  5. Question and answers

1.what is hire purchase system?

hire purchase system: it is a special system of purchase and sale .when goods are purchased on hire-purchase system, hire purchase and installment system the purchaser pays the price in installment. these instalment may be monthly , quarterly or yearly .goods are delivered to the purchaser immediately but the purchaser becomes the owner of the goods only the payment of the last. installment. each instalment paid is treated is hire charge till the payment of the last installment when the ownership in the goods passes from the seller to the buyer .if there is any default in the payment of even the last instalment , the seller has the right to take back the possession of the goods and forfeit the amount already received treating it as a hire charge .the purchaser is called the “ hire purchaser : and the seller is called hire vendor”

2.characteristics of hire purchase system:

  1. possession of the goods is delivered by the seller to the buyer.
  2. the buyer agrees to pay hire purchase price (I:”e .. cash price + interest) in installment .
  3. installment paid is treated as a hire charge till the payment of the last installment.
  4. after the payments of the last installment , ownership is transferred to the buyer.
  5. in cash of default in the payment by the buyer, the seller has a right to repossess the goods, as ownership lies with the seller , till the payment of the last installment .transaction with above mentioned features are called hire purchase transaction because of hire cum purchase nature of these transaction.

3.terms used in hire purchase agreement:

  1.  hire purchaser: he is buyer in a hire purchase agreement.
  2. hire vendor: he is seller in a hire purchase agreement.
  3. cash price: it is the amount to be paid for outright purchaser in cash 
  4. down payment: it is the amount of initial payment payable by the hire purchaser at the time of entering into a hire purchaser agreement.
  5. hire purchaser price: it is the total amount payable by the hire purchaser to the hire vendor of the goods purchased under the hire purchaser system.

4.installment payment system:

 it is a system of credit sale in which price is paid in installment over a period of time. under this system , the buyer gets the possession and also the ownership of the goods right at the time of signing the agreement. if the buyer makes default in the payment of any installment, the seller cannot repossess the goods , but he can sue the buyer for the amount. due 

distinction between hire purchase system and installment payment system

Basis of distinctionHire purchase systemInstalment payment system
 (1)   Nature of contractIt is an agreement of hiringIt is contract of sale.
(2)   Transfer of ownershipOwnership in the goods passes to the buyer after the payment of the last instalment.Ownership in the goods passes immediately (i:” e at the time of signing the contract)
(3)   Right of the sellerIf the buyer fails to pay any instalment , the goods can be repossess by the seller .The seller cannot repossess the goods .he can sue the buyer for the amount. due
(4)   Right of disposalThe buyer cannot hire out, sell , transfer, or pledge the goodsThe buyer can hire out sell, transfer or pledge the goods.
(5)   Return of goodsThe buyer may return the goods without further payment , except for accrued instalments.Except for seller” s default goods cannot be returned.

5.Question and Answer

Question:1 x transport ltd .purchase from manish motors 3 tempos costing A/c 400,000 each one hire -purchase basic on 1-1-2005.25%of the cost was to be paid down and the balance in 3equal annual instalments  together with interest @9%at the end of each year .x transport ltd paid the instalment due on 31st December , 2005,but could not pay thereafter .manish motors agreed to leave one tempo with the purchaser on 1-1-2007 adjusting the value of the other 2 tempos against the amount due on that date. the tempos recovered were valued on the basis of 30% depreciation annually on.W. D.V   x transport ltd. charge depreciation on tempos @20% on diminishing balance method. manish motors incur a/m 40,000 on repair of tempos repossessed and resell them at a profit of 5% on total cost .write up necessary ledger accounts in the books of both parties giving effect to the above transaction,

Answer: in the books of x transport 

tempos account

dateparticularsAmountdate particularsAmount
1.1.05To manish motors A/c
(400,000*3)
1200,00031.12.05
31.12.05
By depreciation A/c
(12,00,000*20/100)
By balance C/d

240,000
9.60,000
Total 1200,000Total 1200,000
1.1.06To balance b/d960,00031.12.26By depreciation a/c
(960,000*20/100)
1920,00
31.12.06By manish motors A/c (value of 2 tempos take away)392,000
31.12.06By profit & loss A/c
(loss note3)
120,000
31.12.06By balance c/d
(value of one tempo left)(note1)
256,000
Total 960,000Total 960,000

 manish motors account 

date
particulars
Amount date particulars Amount
01.01.05To bank A/c
(down payment)
300,0001.1.05By asset (tempos) A\c1200,000
31.12.05To bank A/c
(300,000+81000)
381,00031.12.05By interest A/c
(900,000*9/100)
81,000
31.12.05By balance c/d600,0000
Total 12,81,000Total 12,81,000
31.12.06To tempos A/c
(value of 2 tempos taken away)
392,0001.1.06By balance b/d600,000
31.12.06To balance c/d2,62,000By interest A/c (600,000*9/100)54,000
Total 6,54,000Total 6,54,000

in the books of manish motors (vendor)

x transport ltd. account

dateparticularsAmount date particulars Amount
1.1.05
31.12.05
To hire sales A/c
To interest A/c
1200,000
81,000
1.1.05By bank A/c ( down payment)300,000
31.12.05
31.12.05
By bank A/c
By balance c/d
3,81,000
600,000
Total 12,81,000Total 12,81,000
01.01.06
31.12.06
To balance b/d
To interest A/c
600,000
54,000
31.12.06
31.12.06
By goods repossessed A/c
By balance c/d
3,92,000
2,62,000
Total 6,54,000Total 6,54,000

 goods repossessed account

particulars Amount particulars Amount
To x transport ltd,
To bank A/c ( repairs)
To profit & loss A/c
(profit on sale)
(392,000+40,000)*5/100
3,92000
40,000


21,600
By bank A/c ( sales)4,53,600
4,53,6004,53,600

Working note:

(1) value of tempo left with the buyer 
     number of tempos                                      one
    cash price:(400000*1)                           400,0000
    less: depreciation @20% p.a on
    diminishing balance method for one 
    year (first year 2005)                               80,0000
 value of tempo left with the buyer           3,20,000
    at the end of the first year 
    less: depreciation @20% p.a (for 2006)      6,400
    value of tempo left with the buyer at 
the end of 2nd year                                   2,56,000 
(2) value of tempo taken away by the seller
     number of tempos:                                        two
     cash price (cost)(400,000*2)                    800,000
     depreciation 30% as per w.d.v. method 
for  2year :;;, (2,40,000+168,000=408,000  4,08000 
value of tempos taken away at the end of the 
2nd year                                                            3,92,000
(3) book value of two tempos on 31.12.06 = 800,000-(160,000-depreciation for the first year)-
(1,28,000-depreciation as per w.d.v, 2nd year) = 5,12,000
value of tempos taken (as per note2)= 3,92,000
loss due to default (5,12,000-3,92.000) =   1,20,000

Question:2 angel cabs purchased 3 cars costing a/m 500,000 each from freedom motors on 1st april, 2012on hire purchase basis .the terms of delivery were as follow 

  1. 20% of the cash price to be paid on signing the argreement
  2. balance in three annual instalments plus interest 
  3. interest is charged on outstanding balance @20% as per diminishing balance method 

angel cabs could not pay the final instalment freedom motors repossessed 2 cars on 31st march ,2015 by charging depreciation @30% as per diminishing balance method . additionally , they spent 40,000 on repairs and sold the 2 cars for a total price of 400,000 . assume that their books are closed on 31st march every years, show cars account and freedom motors account in the books of angel cab and angel cabs ” account and goods repossessed account in the books of freedom motors;

Answer: calculation of interest

dateparticularInterest Instalment
1st April, 201215,00,000
(500.000*3)
3,00,000 ( down payment)
31st march, 20134,00,00012,00,000*10/100=120,0005,20,000 (1)
31st march,2014400,000800,000*10/100=80,0004,80,000 (2)
31st march,2015400,0004,00,000*10/100=40,0004,40,000 (3)

value of 2 cars repossessed 

cash price:500,000*2                                          10,00,000
less: depreciation @ 30% w.d.v (year1)   300,000
balance as on 31/3/13   700,000
less: depreciation @ 30% w.d.v (year2)    210,000
balance as on 31/3/14       4,90,000
less: depreciation @30% w.d.v (year3)  1,47,000
balance as on 31/3/15 3,43,000
loss on repossession  
 as on 31st march,2015-(2,56,000*2) 5,12,000
less: value as per hire vendor 3,43,000
1,69,000
value of 1 car left with angel cabs
cash price   500,000
less: depreciation @20% on w.d.v     100,000
balance as on 31/3/13    400,000
less: depreciation @20% on w.d.v  80,000
balance as on 31/3/14  320,000
less: depreciation @ 20% on w.dv       64,000
balance as on 31/3/15  2,56,000

  in the books of angel cabs 

cars A/c

date particular Amount date particular Amount
2012,April, 1To freedom motors   A/C15,00,0002013
March 31
March 31
By depreciation A/c
By balance c/d
3,00,000
120,0000
15,00,00015,00,000
2013 april 1To balance b/d12,00,0002014
March 31
By depreciation A/c
By balance c/d
2,40,000


9,60,000
12,00,00012,00,000
2014 april 1To balance b/d960,0002015
March 31
By depreciation A/c
By freedom motors A/c
By profit &loss A/c
(loss on repossession)
By balance c/d
1,92,000
3,43,000
1,69,000
2,56,000
9,60,0009,60,000

freedom motors A/c

date particular Amount date particular Amount
2012 april 1
2013 march 31

March 31
To bank a/c
(down payment)
To bank A/c (1)
To balance c/d

300,000

5,20,000
8,00,000
2012 paril,1
2013 march 31
By cars A/c
By interest 
15,00,000
1,20,000
16,20,00016,20,000
2014
March 31
March 31
To bank A/c (2)
To balance c/d
4,80,000
4,00,000
2013
April 1
March 31
By balance b/d
By interest A/c
8,00,000
80,000
8,80,0008,80,000
2015
March 31
March31
To cars A/c
To balance c/d
3,43,000
97,000
2014
April 1
By balance b/d
By interest A/c
4,00,000
40,000
4,40,0004,40,000

 in the books of freedom motors 

angel cabs A/c

date particular Amount date particular Amount
2012
April 1
2013 march 31
To HP sales A/c
To interest A/c
15,00,000
120,000
2012
April 1
2013 march 31
By bank A/c
By bank A/c
By balance c/d
3,00,000
5,20,000
8,00,000
16,20,00016,20,000
2013 april
 1
2014 march 31
To balance b/d
To interest A/c
80,0000
80,000
2014 march 31By bank A/c
By balance c/d
4,80,000
4,00,000
8,80,0008,80,000
2014 april 1
2015 march 31
To balance b/d
To interest A/c
4,00,000
40,000
2015 march 31By goods rep A/c
By balance c/d
3,43,000
97,000
440,000440,000

goods repossessed A/c 

particular Amount particular Amount
To angel cabs A/c
To cash A/c (repair)
To profit & loss A/c
3,43,000
40,000
17,000
By cash A/c400,000
400,000400,000
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