ACCOUNTANCY FORM 6 – HIRE PURCHASE ACCOUNTING

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HIRE PURCHASE TRANSACTIONS.

As a system of trading, hire purchase is governed by the hire purchase act. Under this system the buyer agrees to pay for the goods by installments.

The property in goods remains with the seller and the buyer pays hire charges over a stipulated period of time at the end of which the pays a further amount called an option to purchase/ option fee which then gives him ownership. The buyer obtains possession for the goods and uses them, but ownership for the goods will pass from the seller to the buyer when the latter pays the final installment. If the buyer he fails to pay any installment, then seller will be entitled to take back the goods (repossess) and the buyer shall have no any claim over the installment he already paid.

ACCOUNTING PART

  1. Buyers books.
  2. Sellers books.

 

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Hire- purchase transactions in the buyers books

Goods which are dealt with are usually fixed assets such as motorcars, refrigerators and etc.

The hire purchase price actually it consists of two elements:-

  1. Cash “cost” price and
  2. Hire purchase interest.

 

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This acts as compensation to the seller for delay in receiving a full payment at once and also for covering up some attendant risks.

N.B

It is a normal accounting policy to treat hire purchase transactions as actual sales or purchase, because the intentions of the buyer 1st pay the whole amount through installments.

Methods of writing off the title purchase interest.

  1. Straight line / fixed installment methods.
  2. Sum of the digits method (or rule of 78 methods).
  3. Actuarial method.

 

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This interest should be written off to P & L A/C over the period of the hire purchase contract.

  1. Straight line method

 

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Under this method, the hire purchase interest written off on the straight line basis. Therefore the hire purchase interest per installment due =  (Total hire purchase /Interest)/(Total number of interest).                        

  1. Some of the years’ digits method

 

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This is an arithmetical method of apportioning the hire purchase interest in approximate proportion to the amount outstanding at any time.

Procedure

  1. Number the installments e.g. 3 installments

    1

    2

    3

  2. Assign the highest digit to the first installment and digit one to the last installment

                                 Installment                              digits

                                        1                                       3

                                        2                                       2

                                        3                                       1

  3. Sum up the digits    6
  4. Apportion the H.P. interest e.g I H.P interest   = Tshs 36000
    1. Apportion the H.P. interest e.g I H.P interest   = Tshs 36000

      1st
      Year hire purchase interest     =3/6   x   36000

                                                       =   18000

      2nd year hire purchase interest = 2/6 x 36000

                                                           =   12000

      3rd year hire purchase interest   = 1/6 x 36000

     

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  5.                                               =6000 

 

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Buyer’s books continue

  1. Actuarial method

 

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This is method of the writing off the hire purchase interest based on the reducing balance phenomenon.

This method can be used in the presence of the following items:-

Cash price, deposit, (not necessary) rate of interest, number of installments together with their respective amounts.

Working:-

cash price xxx
less; Deposit xx
Balance subject to H.P Interest xxx
Add; Hire purchase interest;1st yr xx
  xxx
Deduct; 1st yr installment paid xxx
Balance subject to H.P Interest xxx
Add; hire purchase interest;2nd yr xx
  xxx
Deduct; 2nd yr installment paid xxx
Balance subject to H.P Interest xx
Add; hire purchase inter.3rd yr xx
  xx
Deduct; 3rd and final instal. Paid xx
  NIL
   

 

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METHOD OF RECORDING.

There are two alternative methods of recording.

Method A

Accounting entries:                

 edu.uptymez.comWith the cash “cost price

edu.uptymez.com         With the proportion of the H.P interest when  

                                                                 Installment is due

 edu.uptymez.comWith the deposit + installment paid

N.B

Balance on the vendor A/C represents the unpaid portion of the cash price, which should be included under current liabilities in the B/S.

METHOD B
1. Dr. Fixed assets A/C with the cash price
Dr H.P interest suspense A/C with the total H.P interest
Cr, vendors A/C with total H.P price.

edu.uptymez.comwith the proportion of the H.P interest  installment is due
                   

         edu.uptymez.com          with the deposit   + installment paid

N.B

The balance on the vendor A/C less the balance of hires purchase interest suspense A/ shall be included current liabilities in the balance sheet.

Example

On 1st Jan 1991, contractor’s ltd bought a hydraulic crane from Hi – lift ltd on hire purchase. The terms o f H.P contract were initial deposit of Tshs 40000 was payable followed by 3 installments of Tshs 37978 on 1st Dec in each of the next three years from 1991 onwards. The cost of the crane for cash purchase would have Tshs. 120,000. Interest is charged on the balance out standing 31st Dec at the rate of 20% p.a. the final year of both company’s end 31st Dec.

Required

  1. What was amount of H.P. Interest included in the H.P price?
  2. What amount of interest could allocated in each of three years if the sum of digits method were used.
  3. Prepare the relevant ledger a/c contraction ltd ledger for each of the three year ended 31st Dec 1991, 1992, 1993 base on the assumption that contractors ltd charges depreciation on his fixed assets. Using a straight line method in addition 20% p.a interest rate is in uses.

 

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Solution

cash price 120,000
less; Deposit 40,000
Balance subject to H.P Interest 80,000
Add; H.p 1st yr 20/100 x 80,000 16,000
  96,000
Deduct; 1st yr installment paid 37978
Balance subject to H.P Interest 58022
Add; 2nd yr H.P interest 20/100 x 58022 11604
  69626
Deduct; 2nd yr installment paid 37978
Balance subject to H.P Interest 31648
Add; hire purchase inter.3rd yr 20/100 x 31648 6330
  37978
Deduct; 3rd and final instal. Paid -37978
                   NIL
   

 

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a) Hire purchase = Total H.P price – cash price

                             = Deposit + 3 installments – cash price

                             = (40000 + 3 x 37978) – 120,000

                             = Tshs.33934

  1. Calculate of the H.P. interest by the sum of the digit method.

 

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Proportion of the H.P interest

1st year; 3/6 x 33934 = 16967

2nd year; 2/6 x 33934 = 11311

3rd year; 1/6 x 33934 = 5656

     DR                       HI- LIFT COMPANY ACCOUNT                  CR

1/1/1991 Hi-lift company 120,000 31.12.1991 Bal. c/d 120,000
           
    120,000     120,000
1/1/1992 Bal. b/d 120,000 31.12.1992 Bal. c/d 120,000
           
    120,000     120,000
           
1/1/1993 Bal. b/d 120,000 31.12.1993 Bal. c/d 120,000
           
    120,000     120,000
           
1/1/1994 Bal. b/d 120,000      
           

 

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  DR     HIRE PURCHASE INTEREST EXPENSE ACCOUNT   CR

31/12/1991 Hi-lift coy 16,000 31.12.91 P &   L 16,000
    16,000     16,000
       
31/12/1992 Hi-lift coy 11604 31.12.92 P & L 11604
       
    11604     11604
       
31/12/1993 Hi-lift coy 6330 31.12.93 P   &   L 6330
       
    6330     6330
           

 

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Example 2

A firm acquired two transport lames under hire purchase agreements, details of which are as follows:

Registration number                                    KQ710                                               KU600

Date of purchase                              30TH May 1998                                 30th October 1998

Cash price                                         540000                                               720000

Deposit                                              93600                                                144000.

Interest (deemed to accrue)

Every over the period of the

Agreement)                                       76800                                                  96000

Both agreements provided for the payment to be made in twenty four equal monthly installments commencing on the last day of the mount following purchase.

On 1st July 1999 vehicle KQ710 become a total loss in full settlement on 10th July 1999.

  1. An insurance company paid Tshs 42000 under a comprehensive policy and
  2. The hire purchase company accepted Tshs 190000 for the termination of the agreement.

    The firm prepared the accounts annually to 31st December, and provided depreciation on a straight line basis at a rate of 25% per annum for motor vehicle. With a full year depreciation in the year of purchase no depreciation being provided in the year of disposal.

    All installments were paid on the due dates.

 

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Required:

Record these transactions in the following accounts, carrying down the balance as on 31 Dec 1999.

  1. Motor vehicles
  2. Provision for depreciation
  3. Motor vehicles disposal
  4. Hire purchase company
  5. Hire purchase interest suspense A/C

 

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DR                               MOTOR VEHICLE ACCOUNT                            CR

30/4/98 H.P company 540,000          31/12/98 Balance c/d 126,000
30/9/98 H.P company 720,000      
    126,0000     126,0000
           
      1/7/1999 M.vehicle disposal 540,000
             31/12/99 Balance c/d 720,000
    126,0000     126,0000
           
1/1/2000 Balance b/d 720,000      
           

 

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Total installment paid for 1998 for

KQ710 KV600
31/5 – 31/12/98 ( 7 months) 2 months  
7 x 21800 2×28000
=152,600         = 56,000

 

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                             152,600 +   56,000   =   208,600

   DR                            HIRE PURCHASE COMPANY ACCOUNT    CR

30/4/98 cash(deposit KU) 93600 30/4/98 Motor vehicle 540,000
  cash(deposit KU) 144000 30/4/98 H.P Interest 76800
  cash(KQ + KU) 208600 30/9/98 Motor vehicles 720,000
 31/12/1998 Balance c/d 986,600 30/4/98 H.P Interest sus. 96,000
    1432800     1,432,800
10/7/1999 cash(KQ) 130800   Balance b/d 986,600
10/7/1999 cash 190,000      
10/7/1999 H.P interest susp. 49800      
31/12/99 cash(KU) 336,000      
31/12/99 Balance c/d 280,000      
    986,600     986,600
           

 

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 DR    HIRE   PURCHASE   INTEREST SUSPENSE ACCOUNT   CR

           
30/4/98 H.P company 76800 31/12/98 P & L 30400
30/4/98 H.P company 96,000 31/12/98 Balance c/d 142400
    172,800     172800
 1/1/1999 Balance b/d 172,800 10/7/1999 H.P company(disc) 49800
      31/12/99 P &   L(KQ) 4600
      31/12/99 P &   L(KU) 48000
      31/12/99 Balance c/d 40000
    142,400     142,400
 1/1/2000 Balance b/d   40,000      

 

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 DR M. VEHICLE ACCOUNT PROV.FOR DEPREC. ACCOUNT  CR

  Balance c/d 315,000 31/12/98 P   &   L 315,000
    315,000     315,000
  Disposal 135,000 1/1/199 Balance b/d 315000
  Balance c/d 360,000 31/12/99 P   &   L 180,000
    495,000     495,000
           

 

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   DR                     MOTOR VEHICLE DISPOSAL ACCOUNT          CR

1/7/1999 Motor vehicles 540,000 1/7/1999 M.V prov.for depr. 135,000
 31/12/1999  P&L (piolt on disposal) 15000 1/7/1999 cash 420,000
    555,000     555,000
           

 

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Total installment paid up to 1/7/1999

For ( KQ)   = 6 X 21800

                   = 130,800

For (KV) = 28000 X 12 = 336,000
24-(6+7)=11 Months

Installment due = 11 x 21800

                         = 239800

                       = 239800 – 190,000

                         = 49800

3. J. York was acquiring two cars under hire purchase agreements details of which are as follows.

Registration number                                                JY 1                                      JY2

Date of purchase                                                 31 June 20 x 6                        30 Nov 20 x6

Cash price                                                            £ 18,000                                  £ 24,000

Deposit                                                                 £ 3120                                      £ 4800

Interest (deemed to accrue every

Over the period of the agreement)                     £ 1920                                       £ 2400

Both agreements provided for payment to be made in 24 monthly installment commencing on the last day of the month following purchase.

On 1 September 20 x 7, vehicle Jy 1 becomes a total loss. In full settlement on

30 September 20 x7

  1. An insurance co. paid 12500 under a comprehensive policy.
  2. The hire purchase company accepted 6000 for the termination of the agreement.

    The firm prepared accounts annually to 31 Dec and provided depreciation on a straight line basis at a rate of 20 percent per Annam for motor, apportioned as from the date of purchase and up to the date of disposal.

 

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All installments were paid on due dates

The balance on the hire purchase company account in respect of vehicle Jy 1 is to be written off

You are required to record these transactions in the following accounts, carrying down the balance as on 31 Dec 20 x 2

  1. Motor vehicle
  2. Depreciation
  3. Hire purchase company
  4. Assets disposal

 

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Solution Jy 1 Jy2
Cost price 18000 24000
Less: deposit 3,120 4800
  14880 19200
Add: H.P Interest 1920 2400
Total installment payable 16800 21600
 
  16800 21600
  24 24
Monthly installment paid 700 900
 
 Total interest payable 1920 2400
  24 24
Monthly interest payable = 80 = 100
     

 

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DR                   MOTOR VEHICLE ACCOUNT                                   CR

31.12.2006 H.P company 18,000 31.12.2006 Balance c/d 42,000
30.10.2006 H.P company 24,000      
    42,000     42,000
           
1.1.2007 Balance b/d 42,000 1/9/2007 M.V (Disposal) 18,000
      31.12.2007 Balance c/d 24,000
    42,000     42,000
           

 

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Total installment paid for 2006 (4200 + 900) = 5100

JY1 30/6/2006 – 31/12/2006                   JY2   31.11.2006   –   31.12.2006

6 x 700 = 4200                                                 900 x 1 = 900
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Total installment paid up 1/9/2007

JY1 = 700 x 8 = 5600

JY2 = 900 x 12= 10800

Installment due = 24 – (6+8) = 10

                           = 700 x 10 = 7000

                           = 7000 – 6000

                           = 1000
DR MOTOR VEHICLE DEPRECIATION ACCOUNT    CR

31.12.2006 Balance c/d 84,000 31/12/2006 P &     L 84000
           
    84000     84000
           
1.08.2007 Disposal 5300 1.1.2007 Balance b/d 84000
31.12.2007 Balance c/d 78700      
    84000     84000
      1.1.2008 Balance b/d 78700
           

 

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   DR                                 DISPOSAL ACCOUNT                             CR

31.5.2006 Motor vehicle 18,000   M/vehicle prov.  
        cash 12500
        P&L 5500
    18000     18000
           

 

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 DR    HIRE PURCHASE INTEREST SUSPENSE ACCOUNT      CR

31.5.2006 H.P company 1920 31.12.2006 P   &     L 580
30.10.2006 H.P company 2400 31.12.2006 Balance c/d 3740
    4320     4320
         
1.1.2007 Balance b/d 3740   H.P company (discount) 1000
      31.12.2007 P & L (JY1) 440
      31.12.2007 P & L (JY2) 1200
      31.12.2007 Balance c/d 1100
    3740     3740
1.1.2008 Balance b/d 1100    
           

 

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Interest payable (Total)                                       JY1 P& L

JY1 = 80x 6 =   480                                             31/6 – 31/12 = 6 months

JY2 = 100 x 1 = 100                                               24 – 6 = 18

                       580                                               18 x 80 = 1440

IN SELLER’S BOOKS

Goods can be categorized into two major categories

  1. Large items
  2. Small items

 

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Large items

These are the one which business buyers treat as fixed assets. In this case the amounts involved are substantial and transactions are relatively infrequent. Therefore the supplier is able to identify transactions surrounding each class of goods under hire purchase will ease. That is, the supplier can spread the gross profit and hire purchase interest over the hire purchase contract without much difficulty.

The hire purchase selling is made up of the following elements;

  • Cost price plus gross profit giving the cash selling price.
  • Cash selling price plus the hire purchase interest giving hire purchase selling price.
  • H.P selling price   =   cost price + gross profit   +   hire purchase interest.
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