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AVERAGE DUE DATE &
ACCOUNT CURRENT
Prepared by Mrs.M.Janani
Department of Commerce (International Business)
Governement Arts College, Coimbatore – 18.
Reference:
Financial Accounting
Author: T.S.Reddy & Dr.A.Murthy
(a) Where the amount is lent in different instalments:
1. Kannan purchased goods from Raman, the due dates for payment in cash being as follows:
Rs.
Mar. 15 1,000 Due 18th
April
Apr. 21 1,500 Due 24th
May
Apr.27 500 Due 30th
June
May 15 600 Due 18th
July
Raman agreed to draw a bill for the total amount due on the average due date. Ascertain the date.
Solution:
Computation of Average due date
Base date 18th
April
Due date
1
Amount
Rs.
2
No. of days from Base date
3
Product
Rs.
4
(2x3)
18th
April 1,000 0 0
24th
May 1,500 36 54,000
30th
June 500 73 36,500
18th
July 600 91 54,600
3,600 1,45,100
Total of products
Average due date = Base date + --------------------------------------------- days
Total of amounts
1,45,100
= 18th
April + -------------------- days
3,600
= 18th
April + 40 days
Average due date = May 28
------------------------------------------------------------------------------------------------------------------------------------------
Calculation of Interest:
2. R owes S the following sums of money due from him on the dates stated:
Rs.300 due on March 9.1993
Rs.1,000 due on April 2.1993
Rs.4,000 due on April 30.1993
Rs.100 due on June 1.1993
He wants to make the complete payment on 30.6.93. Calculate interest at 5% p.a. with the help of Average due date method.
Solution:
Computation of Average due date
Base date 9.3.93
Due date
1
Amount
Rs.
2
No. of days from base date
3
Product
Rs.
4
(2x3)
9.3.93 300 0 0
2.4.93 1,000 24 24,000
30.4.93 4,000 52 2,08,000
1.6.93 100 84 8,400
5,400 2,40,400
Total of products
Average due date = Base date + ------------------------------------ days
Total of amounts
2,40,400
= 9.3.93 + ------------------------- days
5,400
= 9.3.93 + 45 days
= 23.4.93
Therefore, interest is chargeable from 23.4.93 to 30.6.93 i.e., 68 days
68
Interest for 68 days = 5,400 x ---------- x 5%
365
Interests payable = Rs.50.30
When due dates fall on Gazetted government holidays:
3. The following amount are due to Ezil by Satya. Satya wants to pay off
(i) on 18.3.97 or (ii) on 14.7.97
Interest rate of 8% p.a. is taken into consideration.
Due dates Rs
10.1.97 1,000
26.1.97 (Republic day) 2,000
23.3.97 6,000
18.8.97 (Sunday) 8,000
Determine the amount to be paid in (i) and in (ii)
Solution:
Computation of Average due date
Base date 10.1.97
Due date
(Nominal)
1
Due date
(Actual)
2
No. of days from base date
i.e., 10.1.97
3
Amount
Rs.
4
Product
Rs.
5
(3x4)
10.1.97 10.1.97 0 1,000 0
26.1.97 25.1.97 15 2,000 30,000
23.3.97 23.3.97 72 6,000 4,32,000
18.8.97 17.8.97 219 8,000 17,52,000
17,000 22,14,000
Total of products
Average due date = Base date = -------------------------------------- days
Total of amounts
22,14,000
= 10.1.97 + ------------- days
17,000
= 10.1.97 + 130 days
= 20.5.97
(i) If the payment is made on 18.3.97, rebate will be allowed for unexpired time from 18.3.97 to 20.5.97 i.e., for 63 days. He has to pay the
discounted value of the total amount.
63
Discount = 17,000 x 8% x ---- = 234.74
365
Amount to be paid on 18.3.97 = 17,000 – 234.7
= Rs.16,765.26
(ii) If the payment is deferred to 14.7.97, interest is to be paid from 20.5.97 to 14.7.97 (i.e., for 55 days)
55
Interest = 17,000 x 8% x ------ = 204.93
365
Amount to be paid on 14.7.97 = Rs.17,000+204.93
= Rs.17,204.93
---------------------------------------------------------------------------------------------------------------------------------------
Where due dates of bills are given
4. Find out the Average due date of the following bills accepted by a trader who wishes to settle them with one single payment.
Date of Bill Amount of Bill
Rs.
Due date
1.4.90 800 6.6.90
30.4.90 1,000 3.8.90
3.6.90 400 6.7.90
15.6.90 600 18.9.90
Solution:
Calculation of Average due date
Base date 6.6.90
Due date
1
Amount
Rs.
2
No. of days from base date
3
Product
Rs.
4
(2x3)
6.6.90 800 0 0
3.8.90 1,000 58 58,000
6.7.90 400 30 12,000
18.9.90 600 104 62,400
2,800 1,32,400
Total of products
Average due date = Base date + ------------------------------------- days
Total of amounts
1,32,400
= 6.6.90 + ------------------------ days
2,800
= 6.6.90 + 47 days
= 23.7.90
Calculation of due date of Bills payable after so many months after date (or) sight:
5. Ramesh drew upon Vinod several bills of eexchange due for payment on different dates as under:
Date of the Bill Amount
Rs.
Tenure of the Bill
1.6.88 1,200 3 months
19.6.88 1,600 2 months
10.7.88 2,000 3 months
27.7.88 1,500 3 months
7.8.88 1,800 1 month
15.8.88 2,400 2 months
Find out Average due date on which payment may be made in one single amount.
Solution:
Computation of Average due date
Base date 22.8.88
Due date
1
Amount
Rs.
2
No. of days from base date
3
Product
Rs.
4
(2x3)
4.9.88 1,200 13 15,600
22.8.88 1,600 0 0
13.10.88 2,000 52 1,04,000
30.10.88 1,500 69 1,03,500
10.9.88 1,800 19 34,200
18.10.88 2,400 57 1,36,800
10,500 3,94,100
Total of products
Average due date = Base date + ----------------------------------- days
Total of amounts
3,94,100
= 22.8.88 + ---------------------- days
10,500
= 22.8.88 + 38 days
= 29.9.88
6. X sold goods to Y as detailed below:
Date of Invoice Value of goods sold
Rs.
5.5.94 2,000
12.5.94 1,500
19.5.94 3,000
26.5.94 2,200
1.6.94 1,500
3.6.94 1,000
The payments were agreed to be made by bills payable 90 days from the respective dates of invoice. However, Y wanted to arrange for
payment of all the bills to be made on a single date. Calculate the date on which such payment could be made without loss of interest to either
party.
Solution:
Computation of Average due date
Base date 6.8.94
Due date
1
Amount
Rs.
2
No. of days from base date
3
Product
Rs.
4
(2x3)
6.8.94 2,000 0 0
13.8.94 1,500 7 10,500
20.8.94 3,000 14 42,000
27.8.94 2,200 21 46,200
2.9.94 1,500 27 40,500
4.9.94 1,000 29 29,000
11,200 1,68,200
Total of products
Average due date = Base date + ---------------------------- days
Total of amounts
1,68,200
= 6.8.94 + --------------days
11,200
= 6.8.94 + 15
= 21.8.94
7. For goods sold, Nagarajan draws the following bills on Raj who accepts the same as per terms given under:
Amount of the bill
Rs.
Date of drawing Date of acceptance Tenure
16,000 6.1.95 9.1.95 3 months after date
18,000 15.2.95 18.2.95 60 days
16,000 21.2.95 21.2.95 2 months
30,000 14.3.95 17.3.95 30 days after sight
On 18.3.95, it was agreed that the above bills will be withdrawn and the acceptor would pay the whole amount in one lump sum by a cheque,
15 days ahead of average due date and for this a rebate of Rs.1,000 would be allowed.
Calculate the average due date, the amount and the due date of the cheque.
Solution:
Computation of Average Due Date
Base date 9.4.95
Due date
1
Amount
Rs.
2
No. of days from base date
3
Product
Rs.
4
(2x3)
[6.1.95 + 3 months + 3 days] = 9.4.95 16,000 0 0
[15.2.95 + 60 days + 3 days] = 19.4.95 18,000 10 1,80,000
[21.2.95 + 2 months + 3 days] = 24.4.95 16,000 15 2,40,000
[17.3.95 + 30 days + 3 days] = 19.4.95 30,000 10 3,00,000
80,000 7,20,000
Total of products
Average due date = Base date + ----------------------------------- days
Total of amounts
7,20,000
= 9.4.95 + --------------------------days
80,000
= 9.4.95 + 9 days
= 18.4.95
Amount of cheque = Rs.80,000 -1,000 = Rs.79,000
Due date of cheque: 18.4.95 – 15 days = 3.4.95
Calculation of Interest on drawings:
8. A partner has withdrawn the following sums of money during the half year ending 30.6.94.
Jan 15 Rs.300
Feb 18 Rs.250
Mar 10 Rs.150
Mar 26 Rs.200
April 20 Rs.400
May 16 Rs.300
June 18 Rs.500
Interest is to be charged at 8% p.a. Find out the average due date and calculate the amount of interest to be debited to the partner.
Solution:
Computation of ADD
Base date 15.1.94
Date
1
Amount
Rs.
2
No. of days from base date
3
Product
Rs.
4
(2x3)
15.1.94 300 0 0
18.2.94 250 34 8,500
10.3.94 150 54 8,100
26.3.94 200 70 14,000
20.4.94 400 95 38,000
16.5.94 300 121 36,300
18.6.94 500 154 77,000
2,100 1,81,900
Total of products
ADD = Base date + ---------------------------------- days
Total of amounts
1,81,900
= 15.1.94 + --------------- days
2,100
= 15.1.94 + 87 days
= 12.4.94
Interest is to be charged on Rs.2,100 at 8% p.a. for period from 12.4.94 to 30.6.94 i.e., 79 days
79
Interest = 2,100 x 8% x -------- = Rs.36.36
365
------------------------------------------------------------------------------------------------------------------------------------------
9. A partner has been withdrawing Rs.600 at the end of each month from January to December for private expenses. According to the
partnership deed, interest is charged on drawings @ 12% per annum. Calculate the amount of Interest to be charged on drawings by the partner
during the year.
Solution:
Calculation of Average due date:
Due date
1
Amount
Rs.
2
No. of months from 31st
January
3
Products
Rs.
4
(2x3)
January 31 600 0 -
February 28 600 1 600
March 31 600 2 1,200
April 30 600 3 1,800
May 31 600 4 2,400
June 30 600 5 3,000
July 31 600 6 3,600
August 31 600 7 4,200
September 30 600 8 4,800
October 31 600 9 5,400
November 30 600 10 6,000
December 31 600 11 6,600
7,200 39,600
Total of products
ADD = Base date + ------------------------------------ days
Total of amounts
= Jan 31 + 5 ½ months
= July 15
Interest from July 15 till 31st
December = 7,200 x 12% x 11/12
Interest = Rs.792
Determination of payment date to save specified amount of interest:
10. Mani has accepted the following bills drawn by Sharma:-
On 8.3.94 Rs.8,000 for 4 months
On 16.3.94 Rs.10,000 for 3 months
On 7.4.94 Rs.12,000 for 5 months
On 17.5.94 Rs.10,000 for 3 months
He wants to pay all the bills on a single day. Find out this date. Interest is charged at 18% p.a. and Mani wants to save Rs.300 by way of
interest. Find out the date on which he has to effect the payment to save interest of Rs.300.
Solution:
Computation of Average due date
Base date 19.6.94
Due date
1
Amount
Rs.
2
No. of days from base date
3
Product
Rs.
4
(2x3)
11.7.94 8,000 22 1,76,000
19.6.94 10,000 0 0
10.9.94 12,000 83 9,96,000
20.8.94 10,000 62 6,20,000
40,000 17,92,000
Total of products
ADD = Base date + ----------------------------------------days
Total of amounts
17,92,000
= 19.6.94+---------------------------------days
40,000
=19.6.94 + 45 days
= 3.8.94
Interest per year = 40,000x18% = 7,200
Per month = 7,200/12 = Rs.600
Per day = 600/30 days = Rs.20
In order to save Rs.300, he must pay 15 days earlier.
I.e., 3.8.94 – 15 days = 19.7.94
i.e., Mani has to arrange the payment on 19.7.94.
Mutual indebtedness:
11. Asha owes Usha, the following amount:
Rs.2,000 due 31.1.90
Rs.5,000 due 31.3.90
Rs. 1,000 due 31.5.90
Usha owes Asha, the following amounts:
Rs.1,000 due 31.3.90
Rs.1,600 due 30.4.90
Rs. 600 due 31.5.90
Find the average due date for a settlement in one lump sum. [Calculation to be made in terms of months].
Solution:
Computation of ADD
Base date 31.1.90
Asha to Usha Usha to Asha
Date Month Amount
Rs.
Product
Rs.
Date Month Amount
Rs.
Product
RS.
31.1.90 0 2,000 0 31.3.90 2 1,000 2,000
31.3.90 2 5,000 10,000 30.4.90 3 1,600 4,800
31.5.90 4 1,000 4,000 31.5.90 4 600 2,400
8,000 14,000 3,200 9,200
Difference in product
ADD = Base date + ----------------------------------------------------- (months)
Difference in amount
14,000-9,200 4,800
= --------------------- = --------------- 1 month
8,000-3,200 4,800
ADD = Base date + 1 month
= 31.1.90 + 1 month
= 28.2.90
Where the amount is lent in a single instalment
12. Anusha lent Rs.30,000 to Kavitha on 1st
January 1991 which is repayable in 6 equal annual instalments commencing from 1st
January 1992.
Calculate the average due date and amount of each instalment at 10% p.a. interest.
Solution:
Calculation or summation of years from the date of loan to the date of repayment of each instalment is as follows:
1st
instalment is payable after 1 year from the date of loan.
2nd
instalment is payable after 2 years from the date of loan
3rd
instalment is payable after 3 years from the date of loan
4th
instalment is payable after 4 years from the date of loan
5th
instalment is payable after 5 years from the date of loan
6th
instalment is payable after 6 years from the date of loan
No. of instalemnts: 6 Total 21 years
Sum of years from the date of loan to the
date of repayment of various instalments
Average due date = Date of loan + ----------------------------------------------------------------
No. of Instalments
21
= 1.1.91 + ------- years
6
= 1.1.91 + 3.5 years
= 1.7.94
Interested should be calculated for 3.5 years (from the date of loan to the average due date) i.e., from 1.1.91 to 1.7.94.
Interest = 30,000 x 10% x 3 ½ years = Rs.10,500
Amount of loan = 30,000
Add: Interest payable = 10,500
-------------
Total amount payable in 6 instalments = 40,500
---------------
40,500
Amount payable per instalment = -------------- = 6,750
6
13. Jayakumar has lent Rs.80,000 to Ravikumar on 1st
January 1993 which is repayable in four equal half yearly instalments, commencing from 1st
January 1994. Calculate average due date and interest at 10% per annum.
Solution:
Calculation or summation of number of months from the date of loan to the date of repayment of each instalments is as follows:
1st
instalment is paid after 12 months from the date of loan
2nd
instalment is paid after 18 months from the date of loan
3rd
instalment is paid after 24 months from the date of loan
4th
instalment is paid after 30 months from the date of loan
-----
Total 84 months
------
Number of instalments = 4
84
Average due date = 1.1.93 + ------ months
4
1.1.93 + 21 months = 30.9.94
Calculation of interest:
Interest will be charged for 21 months
(i.e. from 1.1.93 to 30.9.94)
21 10
Interest = Rs.80,000 x ----- x ------- = Rs. 14,000
12 100
Interest Calculation Under Product Method
1. The following transactions took place between Ram and Krishna from 1.1.09 to 30.6.09.
Rs.
Jan 1 Sold goods to Ram 2,240
Jan 10 Received Ram’s acceptance at 2 months 1,000
Feb 15 Received cash from Ram 1,200
Mar 2 Bought goods from Ram 5,500
Mar 3 Accepted Ram’s bill at 1 month 2,000
Apr 11 Paid cash to Ram 2,000
Apr 30 Sold goods to Ram payable up to 31st
May 2,400
May 11 Bought goods from Ram 1,500
May 31 Sold goods to Ram payable up to 10th
June 2,200
June 15 Bought goods from Ram 3,000
Prepare the account current to be sent by Krishna on 30th
June 2009. The rate of interest is 5%.
Solution: Books of Krishna
Ram in Account Current with Krishna as on 30.6.2009
Date
2009
Particulars Amount
Rs.
Days Products
Rs.
Date
2009
Particulars Amount
Rs.
Days Product
Rs.
Jan 1 To Sales 2,240.00 180 4,03,200 Jan 10 By B/R (due on
march 13)
1,000.00 109 1,09,000
Mar 3 To B/p (due on
April 6)
2,000.00 85 1,70,000 Feb 15 By cash 1,200.00 135 1,62,000
Apr 11 To Cash 2,000.00 80 1,60,000 Mar 2 By Purchases 5,500.00 120 6,60,000
Apr 30 To Sales (due
on May 31)
2,400.00 30 72,000 May
11
By Purchases 1,500.00 50 75,000
May 31 To Sales (due
on June 10
2,200.00 20 44,000 June
15
By Purchases 3,000.00 15 45,000
June 30 To Balance of
products
2,01,800 June
30
By Interest on
balance of products
(2,01,800x5%x1/365)
27.64
June 30 To Balance c/d 1,387.64
12,227.64 10,51,000 12,227.64 10,51,000
July 1 By Balance b/d 1,387.64
2. Prepare account current for Nagesh in respect of the following transactions with Basha:-
1994 Rs.
Sep 16 Goods sold to Basha 400 (due 1st
Oct)
Oct 1 Cash received from Basha 180
Oct 21 Goods purchased from Basha 1,000 ( due 1st
Dec)
Nov 1 Paid to Basha 660
Dec 1 Paid to Basha 600
Dec 5 Goods purchased from Basha 1,000 (due 1st
Jan)
Dec 10 Goods purchased from Basha 440 (due 1st
Jan)
1995
Jan 1 Paid to Basha 1,200
Jan 9 Goods sold to Basha 40 (due 1st
Feb)
The account is to be prepared upto 1st
Feb. Calculate interest @ 6% p.a.
Solution:
Books of Nagesh
Basha in Account Current with Nagesh as on 1.2.95
Date
1994
Particulars Amount
Rs.
Days Product
Rs.
Date
1994
Particulars Amount
Rs
Days Product
Rs.
Sep 16 To Sales (due on
Oct 1)
400.00 123 49,200 Oct 1 By Cash 180 123 22,140
Nov 1 To Cash 660 92 60,720 Oct 21 By Purchase
(due on 1st
dec)
1,000 62 62,000
Dec 1 To Cash 600 62 37,200 Dec 5 By Purchase
((due 1st
Jan)
1,000 31 31,000
1995
Jan 1
To cash 1,200 31 37,200 Dec 10 By purchase
(due 1st
Jan)
440 31 13,640
Jan 9 To Sales (due 1st
feb0
40 0 0 Feb 1,
1995
By Balance c/d 289.13 55,540
Feb 1 To Interest
(55,540x6%x1/365)
9.13
2,909.13 1,84,320 2,909.13 1,84,320
Red-ink interest
3. Balaji had the following transactions with Ganesan.
1995 Rs.
Jan 20 Sold goods to Ganesan 400
Mar 2 Purchased goods from Ganesan 250
Mar 3 Accepted Ganesan’s draft at 1 month due 200
Apr 11 Cash paid to Ganesan 400
Apr 30 Goods sold to Ganesan due end of May 100
May 11 Bought goods from Ganesan 300
June 11 Balaji drew a bill on Ganesan this day. Payable two months after date, and this was
Duly accepted by Ganesan 300
Prepare an Account current to be rendered by Balaji to Ganesan as at 30th
June, bringing interest into account at 20% p.a.
Solution:
Books of Balaji
Ganesan in Account current with Balaji as on 30.6.95
Date
1995
Particulars Amount
Rs.
Days Product
RS.
Date
1995
Particulars Amount
RS.
Days Product
Jan 20 To Sales 400.00 161 64,400 Mar 1 By purchase 250.00 120 30,000
Mar 3 To B/P (due on Apr
6)
200.00 85 17,000 May 11 By purchase 300.00 50 15,000
Apr 11 To Cash 400.00 80 32,000 June
11
By B/R (due on
Aug 14)
300.00 -45 -13,500
Apr 30 To Sales (due on
May 31)
100.00 30 3,000 June
30
By Balance c/d 296.52
June
30
To Interest on
balance of product
(84,900x20%x1/365)
46.52
1,146.52 1,16,400 1,146.52 1,1,400
July 1 To Balance b/d 296.52

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AVERAGE DUE DATE & ACCOUNT CURRENT

  • 1. AVERAGE DUE DATE & ACCOUNT CURRENT Prepared by Mrs.M.Janani Department of Commerce (International Business) Governement Arts College, Coimbatore – 18. Reference: Financial Accounting Author: T.S.Reddy & Dr.A.Murthy
  • 2. (a) Where the amount is lent in different instalments: 1. Kannan purchased goods from Raman, the due dates for payment in cash being as follows: Rs. Mar. 15 1,000 Due 18th April Apr. 21 1,500 Due 24th May Apr.27 500 Due 30th June May 15 600 Due 18th July Raman agreed to draw a bill for the total amount due on the average due date. Ascertain the date. Solution: Computation of Average due date Base date 18th April Due date 1 Amount Rs. 2 No. of days from Base date 3 Product Rs. 4 (2x3) 18th April 1,000 0 0 24th May 1,500 36 54,000 30th June 500 73 36,500 18th July 600 91 54,600 3,600 1,45,100 Total of products Average due date = Base date + --------------------------------------------- days Total of amounts 1,45,100 = 18th April + -------------------- days 3,600 = 18th April + 40 days
  • 3. Average due date = May 28 ------------------------------------------------------------------------------------------------------------------------------------------ Calculation of Interest: 2. R owes S the following sums of money due from him on the dates stated: Rs.300 due on March 9.1993 Rs.1,000 due on April 2.1993 Rs.4,000 due on April 30.1993 Rs.100 due on June 1.1993 He wants to make the complete payment on 30.6.93. Calculate interest at 5% p.a. with the help of Average due date method. Solution: Computation of Average due date Base date 9.3.93 Due date 1 Amount Rs. 2 No. of days from base date 3 Product Rs. 4 (2x3) 9.3.93 300 0 0 2.4.93 1,000 24 24,000 30.4.93 4,000 52 2,08,000 1.6.93 100 84 8,400 5,400 2,40,400 Total of products Average due date = Base date + ------------------------------------ days Total of amounts 2,40,400 = 9.3.93 + ------------------------- days 5,400 = 9.3.93 + 45 days = 23.4.93
  • 4. Therefore, interest is chargeable from 23.4.93 to 30.6.93 i.e., 68 days 68 Interest for 68 days = 5,400 x ---------- x 5% 365 Interests payable = Rs.50.30 When due dates fall on Gazetted government holidays: 3. The following amount are due to Ezil by Satya. Satya wants to pay off (i) on 18.3.97 or (ii) on 14.7.97 Interest rate of 8% p.a. is taken into consideration. Due dates Rs 10.1.97 1,000 26.1.97 (Republic day) 2,000 23.3.97 6,000 18.8.97 (Sunday) 8,000 Determine the amount to be paid in (i) and in (ii)
  • 5. Solution: Computation of Average due date Base date 10.1.97 Due date (Nominal) 1 Due date (Actual) 2 No. of days from base date i.e., 10.1.97 3 Amount Rs. 4 Product Rs. 5 (3x4) 10.1.97 10.1.97 0 1,000 0 26.1.97 25.1.97 15 2,000 30,000 23.3.97 23.3.97 72 6,000 4,32,000 18.8.97 17.8.97 219 8,000 17,52,000 17,000 22,14,000 Total of products Average due date = Base date = -------------------------------------- days Total of amounts 22,14,000 = 10.1.97 + ------------- days 17,000 = 10.1.97 + 130 days = 20.5.97 (i) If the payment is made on 18.3.97, rebate will be allowed for unexpired time from 18.3.97 to 20.5.97 i.e., for 63 days. He has to pay the discounted value of the total amount. 63 Discount = 17,000 x 8% x ---- = 234.74 365 Amount to be paid on 18.3.97 = 17,000 – 234.7 = Rs.16,765.26 (ii) If the payment is deferred to 14.7.97, interest is to be paid from 20.5.97 to 14.7.97 (i.e., for 55 days) 55 Interest = 17,000 x 8% x ------ = 204.93
  • 6. 365 Amount to be paid on 14.7.97 = Rs.17,000+204.93 = Rs.17,204.93 --------------------------------------------------------------------------------------------------------------------------------------- Where due dates of bills are given 4. Find out the Average due date of the following bills accepted by a trader who wishes to settle them with one single payment. Date of Bill Amount of Bill Rs. Due date 1.4.90 800 6.6.90 30.4.90 1,000 3.8.90 3.6.90 400 6.7.90 15.6.90 600 18.9.90 Solution: Calculation of Average due date Base date 6.6.90 Due date 1 Amount Rs. 2 No. of days from base date 3 Product Rs. 4 (2x3) 6.6.90 800 0 0 3.8.90 1,000 58 58,000 6.7.90 400 30 12,000 18.9.90 600 104 62,400 2,800 1,32,400 Total of products Average due date = Base date + ------------------------------------- days Total of amounts 1,32,400 = 6.6.90 + ------------------------ days
  • 7. 2,800 = 6.6.90 + 47 days = 23.7.90 Calculation of due date of Bills payable after so many months after date (or) sight: 5. Ramesh drew upon Vinod several bills of eexchange due for payment on different dates as under: Date of the Bill Amount Rs. Tenure of the Bill 1.6.88 1,200 3 months 19.6.88 1,600 2 months 10.7.88 2,000 3 months 27.7.88 1,500 3 months 7.8.88 1,800 1 month 15.8.88 2,400 2 months Find out Average due date on which payment may be made in one single amount. Solution: Computation of Average due date Base date 22.8.88 Due date 1 Amount Rs. 2 No. of days from base date 3 Product Rs. 4 (2x3) 4.9.88 1,200 13 15,600 22.8.88 1,600 0 0 13.10.88 2,000 52 1,04,000 30.10.88 1,500 69 1,03,500 10.9.88 1,800 19 34,200 18.10.88 2,400 57 1,36,800 10,500 3,94,100
  • 8. Total of products Average due date = Base date + ----------------------------------- days Total of amounts 3,94,100 = 22.8.88 + ---------------------- days 10,500 = 22.8.88 + 38 days = 29.9.88 6. X sold goods to Y as detailed below: Date of Invoice Value of goods sold Rs. 5.5.94 2,000 12.5.94 1,500 19.5.94 3,000 26.5.94 2,200 1.6.94 1,500 3.6.94 1,000 The payments were agreed to be made by bills payable 90 days from the respective dates of invoice. However, Y wanted to arrange for payment of all the bills to be made on a single date. Calculate the date on which such payment could be made without loss of interest to either party.
  • 9. Solution: Computation of Average due date Base date 6.8.94 Due date 1 Amount Rs. 2 No. of days from base date 3 Product Rs. 4 (2x3) 6.8.94 2,000 0 0 13.8.94 1,500 7 10,500 20.8.94 3,000 14 42,000 27.8.94 2,200 21 46,200 2.9.94 1,500 27 40,500 4.9.94 1,000 29 29,000 11,200 1,68,200 Total of products Average due date = Base date + ---------------------------- days Total of amounts 1,68,200 = 6.8.94 + --------------days 11,200 = 6.8.94 + 15 = 21.8.94 7. For goods sold, Nagarajan draws the following bills on Raj who accepts the same as per terms given under: Amount of the bill Rs. Date of drawing Date of acceptance Tenure 16,000 6.1.95 9.1.95 3 months after date 18,000 15.2.95 18.2.95 60 days 16,000 21.2.95 21.2.95 2 months 30,000 14.3.95 17.3.95 30 days after sight
  • 10. On 18.3.95, it was agreed that the above bills will be withdrawn and the acceptor would pay the whole amount in one lump sum by a cheque, 15 days ahead of average due date and for this a rebate of Rs.1,000 would be allowed. Calculate the average due date, the amount and the due date of the cheque. Solution: Computation of Average Due Date Base date 9.4.95 Due date 1 Amount Rs. 2 No. of days from base date 3 Product Rs. 4 (2x3) [6.1.95 + 3 months + 3 days] = 9.4.95 16,000 0 0 [15.2.95 + 60 days + 3 days] = 19.4.95 18,000 10 1,80,000 [21.2.95 + 2 months + 3 days] = 24.4.95 16,000 15 2,40,000 [17.3.95 + 30 days + 3 days] = 19.4.95 30,000 10 3,00,000 80,000 7,20,000 Total of products Average due date = Base date + ----------------------------------- days Total of amounts 7,20,000 = 9.4.95 + --------------------------days 80,000 = 9.4.95 + 9 days = 18.4.95 Amount of cheque = Rs.80,000 -1,000 = Rs.79,000 Due date of cheque: 18.4.95 – 15 days = 3.4.95
  • 11. Calculation of Interest on drawings: 8. A partner has withdrawn the following sums of money during the half year ending 30.6.94. Jan 15 Rs.300 Feb 18 Rs.250 Mar 10 Rs.150 Mar 26 Rs.200 April 20 Rs.400 May 16 Rs.300 June 18 Rs.500 Interest is to be charged at 8% p.a. Find out the average due date and calculate the amount of interest to be debited to the partner. Solution: Computation of ADD Base date 15.1.94 Date 1 Amount Rs. 2 No. of days from base date 3 Product Rs. 4 (2x3) 15.1.94 300 0 0 18.2.94 250 34 8,500 10.3.94 150 54 8,100 26.3.94 200 70 14,000 20.4.94 400 95 38,000 16.5.94 300 121 36,300 18.6.94 500 154 77,000
  • 12. 2,100 1,81,900 Total of products ADD = Base date + ---------------------------------- days Total of amounts 1,81,900 = 15.1.94 + --------------- days 2,100 = 15.1.94 + 87 days = 12.4.94 Interest is to be charged on Rs.2,100 at 8% p.a. for period from 12.4.94 to 30.6.94 i.e., 79 days 79 Interest = 2,100 x 8% x -------- = Rs.36.36 365 ------------------------------------------------------------------------------------------------------------------------------------------ 9. A partner has been withdrawing Rs.600 at the end of each month from January to December for private expenses. According to the partnership deed, interest is charged on drawings @ 12% per annum. Calculate the amount of Interest to be charged on drawings by the partner during the year. Solution:
  • 13. Calculation of Average due date: Due date 1 Amount Rs. 2 No. of months from 31st January 3 Products Rs. 4 (2x3) January 31 600 0 - February 28 600 1 600 March 31 600 2 1,200 April 30 600 3 1,800 May 31 600 4 2,400 June 30 600 5 3,000 July 31 600 6 3,600 August 31 600 7 4,200 September 30 600 8 4,800 October 31 600 9 5,400 November 30 600 10 6,000 December 31 600 11 6,600 7,200 39,600 Total of products ADD = Base date + ------------------------------------ days Total of amounts = Jan 31 + 5 ½ months = July 15 Interest from July 15 till 31st December = 7,200 x 12% x 11/12 Interest = Rs.792 Determination of payment date to save specified amount of interest:
  • 14. 10. Mani has accepted the following bills drawn by Sharma:- On 8.3.94 Rs.8,000 for 4 months On 16.3.94 Rs.10,000 for 3 months On 7.4.94 Rs.12,000 for 5 months On 17.5.94 Rs.10,000 for 3 months He wants to pay all the bills on a single day. Find out this date. Interest is charged at 18% p.a. and Mani wants to save Rs.300 by way of interest. Find out the date on which he has to effect the payment to save interest of Rs.300. Solution: Computation of Average due date Base date 19.6.94 Due date 1 Amount Rs. 2 No. of days from base date 3 Product Rs. 4 (2x3) 11.7.94 8,000 22 1,76,000 19.6.94 10,000 0 0 10.9.94 12,000 83 9,96,000 20.8.94 10,000 62 6,20,000 40,000 17,92,000 Total of products ADD = Base date + ----------------------------------------days Total of amounts 17,92,000 = 19.6.94+---------------------------------days 40,000 =19.6.94 + 45 days = 3.8.94 Interest per year = 40,000x18% = 7,200
  • 15. Per month = 7,200/12 = Rs.600 Per day = 600/30 days = Rs.20 In order to save Rs.300, he must pay 15 days earlier. I.e., 3.8.94 – 15 days = 19.7.94 i.e., Mani has to arrange the payment on 19.7.94. Mutual indebtedness: 11. Asha owes Usha, the following amount: Rs.2,000 due 31.1.90 Rs.5,000 due 31.3.90 Rs. 1,000 due 31.5.90 Usha owes Asha, the following amounts: Rs.1,000 due 31.3.90 Rs.1,600 due 30.4.90 Rs. 600 due 31.5.90 Find the average due date for a settlement in one lump sum. [Calculation to be made in terms of months]. Solution: Computation of ADD Base date 31.1.90 Asha to Usha Usha to Asha Date Month Amount Rs. Product Rs. Date Month Amount Rs. Product RS. 31.1.90 0 2,000 0 31.3.90 2 1,000 2,000 31.3.90 2 5,000 10,000 30.4.90 3 1,600 4,800 31.5.90 4 1,000 4,000 31.5.90 4 600 2,400 8,000 14,000 3,200 9,200
  • 16. Difference in product ADD = Base date + ----------------------------------------------------- (months) Difference in amount 14,000-9,200 4,800 = --------------------- = --------------- 1 month 8,000-3,200 4,800 ADD = Base date + 1 month = 31.1.90 + 1 month = 28.2.90 Where the amount is lent in a single instalment 12. Anusha lent Rs.30,000 to Kavitha on 1st January 1991 which is repayable in 6 equal annual instalments commencing from 1st January 1992. Calculate the average due date and amount of each instalment at 10% p.a. interest. Solution: Calculation or summation of years from the date of loan to the date of repayment of each instalment is as follows: 1st instalment is payable after 1 year from the date of loan. 2nd instalment is payable after 2 years from the date of loan 3rd instalment is payable after 3 years from the date of loan 4th instalment is payable after 4 years from the date of loan 5th instalment is payable after 5 years from the date of loan 6th instalment is payable after 6 years from the date of loan No. of instalemnts: 6 Total 21 years
  • 17. Sum of years from the date of loan to the date of repayment of various instalments Average due date = Date of loan + ---------------------------------------------------------------- No. of Instalments 21 = 1.1.91 + ------- years 6 = 1.1.91 + 3.5 years = 1.7.94 Interested should be calculated for 3.5 years (from the date of loan to the average due date) i.e., from 1.1.91 to 1.7.94. Interest = 30,000 x 10% x 3 ½ years = Rs.10,500 Amount of loan = 30,000 Add: Interest payable = 10,500 ------------- Total amount payable in 6 instalments = 40,500 --------------- 40,500 Amount payable per instalment = -------------- = 6,750 6 13. Jayakumar has lent Rs.80,000 to Ravikumar on 1st January 1993 which is repayable in four equal half yearly instalments, commencing from 1st January 1994. Calculate average due date and interest at 10% per annum. Solution: Calculation or summation of number of months from the date of loan to the date of repayment of each instalments is as follows: 1st instalment is paid after 12 months from the date of loan 2nd instalment is paid after 18 months from the date of loan 3rd instalment is paid after 24 months from the date of loan 4th instalment is paid after 30 months from the date of loan ----- Total 84 months
  • 18. ------ Number of instalments = 4 84 Average due date = 1.1.93 + ------ months 4 1.1.93 + 21 months = 30.9.94 Calculation of interest: Interest will be charged for 21 months (i.e. from 1.1.93 to 30.9.94) 21 10 Interest = Rs.80,000 x ----- x ------- = Rs. 14,000 12 100 Interest Calculation Under Product Method 1. The following transactions took place between Ram and Krishna from 1.1.09 to 30.6.09. Rs. Jan 1 Sold goods to Ram 2,240 Jan 10 Received Ram’s acceptance at 2 months 1,000 Feb 15 Received cash from Ram 1,200 Mar 2 Bought goods from Ram 5,500 Mar 3 Accepted Ram’s bill at 1 month 2,000 Apr 11 Paid cash to Ram 2,000 Apr 30 Sold goods to Ram payable up to 31st May 2,400 May 11 Bought goods from Ram 1,500 May 31 Sold goods to Ram payable up to 10th June 2,200 June 15 Bought goods from Ram 3,000 Prepare the account current to be sent by Krishna on 30th June 2009. The rate of interest is 5%.
  • 19. Solution: Books of Krishna Ram in Account Current with Krishna as on 30.6.2009 Date 2009 Particulars Amount Rs. Days Products Rs. Date 2009 Particulars Amount Rs. Days Product Rs. Jan 1 To Sales 2,240.00 180 4,03,200 Jan 10 By B/R (due on march 13) 1,000.00 109 1,09,000 Mar 3 To B/p (due on April 6) 2,000.00 85 1,70,000 Feb 15 By cash 1,200.00 135 1,62,000 Apr 11 To Cash 2,000.00 80 1,60,000 Mar 2 By Purchases 5,500.00 120 6,60,000 Apr 30 To Sales (due on May 31) 2,400.00 30 72,000 May 11 By Purchases 1,500.00 50 75,000 May 31 To Sales (due on June 10 2,200.00 20 44,000 June 15 By Purchases 3,000.00 15 45,000 June 30 To Balance of products 2,01,800 June 30 By Interest on balance of products (2,01,800x5%x1/365) 27.64 June 30 To Balance c/d 1,387.64 12,227.64 10,51,000 12,227.64 10,51,000 July 1 By Balance b/d 1,387.64 2. Prepare account current for Nagesh in respect of the following transactions with Basha:- 1994 Rs. Sep 16 Goods sold to Basha 400 (due 1st Oct) Oct 1 Cash received from Basha 180 Oct 21 Goods purchased from Basha 1,000 ( due 1st Dec) Nov 1 Paid to Basha 660 Dec 1 Paid to Basha 600 Dec 5 Goods purchased from Basha 1,000 (due 1st Jan) Dec 10 Goods purchased from Basha 440 (due 1st Jan) 1995 Jan 1 Paid to Basha 1,200 Jan 9 Goods sold to Basha 40 (due 1st Feb) The account is to be prepared upto 1st Feb. Calculate interest @ 6% p.a. Solution:
  • 20. Books of Nagesh Basha in Account Current with Nagesh as on 1.2.95 Date 1994 Particulars Amount Rs. Days Product Rs. Date 1994 Particulars Amount Rs Days Product Rs. Sep 16 To Sales (due on Oct 1) 400.00 123 49,200 Oct 1 By Cash 180 123 22,140 Nov 1 To Cash 660 92 60,720 Oct 21 By Purchase (due on 1st dec) 1,000 62 62,000 Dec 1 To Cash 600 62 37,200 Dec 5 By Purchase ((due 1st Jan) 1,000 31 31,000 1995 Jan 1 To cash 1,200 31 37,200 Dec 10 By purchase (due 1st Jan) 440 31 13,640 Jan 9 To Sales (due 1st feb0 40 0 0 Feb 1, 1995 By Balance c/d 289.13 55,540 Feb 1 To Interest (55,540x6%x1/365) 9.13 2,909.13 1,84,320 2,909.13 1,84,320 Red-ink interest 3. Balaji had the following transactions with Ganesan. 1995 Rs. Jan 20 Sold goods to Ganesan 400 Mar 2 Purchased goods from Ganesan 250 Mar 3 Accepted Ganesan’s draft at 1 month due 200 Apr 11 Cash paid to Ganesan 400 Apr 30 Goods sold to Ganesan due end of May 100 May 11 Bought goods from Ganesan 300 June 11 Balaji drew a bill on Ganesan this day. Payable two months after date, and this was Duly accepted by Ganesan 300 Prepare an Account current to be rendered by Balaji to Ganesan as at 30th June, bringing interest into account at 20% p.a. Solution:
  • 21. Books of Balaji Ganesan in Account current with Balaji as on 30.6.95 Date 1995 Particulars Amount Rs. Days Product RS. Date 1995 Particulars Amount RS. Days Product Jan 20 To Sales 400.00 161 64,400 Mar 1 By purchase 250.00 120 30,000 Mar 3 To B/P (due on Apr 6) 200.00 85 17,000 May 11 By purchase 300.00 50 15,000 Apr 11 To Cash 400.00 80 32,000 June 11 By B/R (due on Aug 14) 300.00 -45 -13,500 Apr 30 To Sales (due on May 31) 100.00 30 3,000 June 30 By Balance c/d 296.52 June 30 To Interest on balance of product (84,900x20%x1/365) 46.52 1,146.52 1,16,400 1,146.52 1,1,400 July 1 To Balance b/d 296.52