18 March 2011
IN THE CHAPTER ACCOUNT CURRENT A OWED Rs 3,000 ON 1st JANUARY TO Mr C.THE FOLLOWING TRANSACTIONS THAT TOOK PLACE B/W THEM DURING 2008.IT IS AGREED B/W PARTIES THAT INTEREST @ 12% p.a IS CALCULATED ON ALL TRANSACTIONS
2008
JAN 16 Mr C SOLD GOODS TO A Rs 2000
JAN 29 Mr C PURCHASED GOODS FROM A. Rs 1500
FEB 10 Mr C PAYS CASH Rs 1500
MARCH 9 Mr A ACCEPTS A BILL DRAWN BY C FOR 1 MONTH Rs 2000
THEY DESIRE TO SETTLE THEIR A/C BY 1 SINGLE PAYMENT ON 15th MARCH 2008.ASCERTAIN THE AMOUNT TO BE PAID.
14 July 2024
To ascertain the amount to be paid by A to C on 15th March 2008, we need to calculate the interest on the transactions between them and then settle the account accordingly. Here's the step-by-step calculation:
### Transactions and Interest Calculation:
1. **Initial Amount Owed**: - A owed Rs. 3,000 to C from 1st January 2008.
2. **Transactions and Dates**: - Jan 16: C sold goods to A for Rs. 2,000. - Jan 29: C purchased goods from A for Rs. 1,500. - Feb 10: C paid cash Rs. 1,500. - Mar 9: A accepted a bill drawn by C for 1 month for Rs. 2,000.
3. **Interest Calculation**: - Interest is calculated at 12% per annum.
### Step-by-Step Calculation:
1. **Calculate Interest for Each Transaction**:
- From 1st January to 15th March, the interest period is approximately 2.5 months (assuming interest is calculated monthly).
- Interest on Rs. 3,000 for 2.5 months: \[ \text{Interest} = \frac{3,000 \times 12\%}{12} \times 2.5 = Rs. 75 \]
2. **Calculate Interest on Transactions**:
- Jan 16: A owes C Rs. 2,000 for 1.5 months (approx): \[ \text{Interest} = \frac{2,000 \times 12\%}{12} \times 1.5 = Rs. 30 \]
- Jan 29: C owes A Rs. 1,500 for 1 month: \[ \text{Interest} = \frac{1,500 \times 12\%}{12} \times 1 = Rs. 15 \]
- Feb 10: C paid A Rs. 1,500. No interest on this payment.
- Mar 9: A accepts bill drawn by C for Rs. 2,000 for 1 month: \[ \text{Interest} = \frac{2,000 \times 12\%}{12} \times 1 = Rs. 20 \]
3. **Total Interest Calculation**:
- Total interest accrued from 1st January to 15th March: \[ 75 + 30 + 15 + 20 = Rs. 140 \]
4. **Calculate Total Amount Payable by A to C**:
- Initial amount owed by A: Rs. 3,000 - Total amount due including interest: Rs. 3,000 + Rs. 140 = Rs. 3,140
Therefore, on 15th March 2008, A needs to pay Rs. 3,140 to C to settle their account, considering all transactions and interest calculations up to that date. This amount includes the initial amount owed plus interest calculated at 12% per annum on all transactions between them.