How To Apportion Hire Purchase Interest-Using Sum Of Digit Method Or Rule Of 78 (Part 3 of 3)

Hire purchase interest are apportioned based on the reducing balance method (part 1) and on Straight line basis(part 2).

This final part 3 looks at another commonly used method to apportion hire purchase interest namely the Sum of digit method of Rule of 78 

 Example to illustrate the Sum Of Digit or Rule of 78 method to apportion hire purchase interest. 

Under a hire purchase agreement,the company bought an air-conditioner with a cash purchase price of $3,500. A deposit of $500 is paid and 12 annual installments of $300 being agreed. 

 

$

Cash Price

3,500.00

Deposit

500.00

 

3,000.00

Interest(12 x$300 -$3,000) 

600.00

 

3,600.00

 The installments are numbered as follows: 

Jan

Feb

Mar

Apr

May

Jun

Jul

Aug

Sept

Oct

Nov

Dec

Total

12

11

10

9

8

7

6

5

4

3

2

1

78

 The total hire purchase interest of $600.00 is apportioned based on above weight: 

Jan

12/78 x$600 =$92.30

Feb

11/78 x$600 =$84.62

Mar

10/78 x$600 =$76.92

Apr

9/78 x$600 =$69.23

May

8/78 x$600 =$61.54

Jun

7/78 x$600 =$53.85

July

6/78 x$600 =$46.15

Aug

5/78 x$600 =$38.46

Sept

4/78 x$600 =$30.77

Oct

3/78 x$600 =$23.08

Nov

2/78 x$600 =$15.39

Dec

1/78 x$600 =$ 7.69

 

                    $ 600.00

 

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