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Question
The following enb·ies are from the saving bank account passbook of Mr. Ratnesh. If the rate of interest paid by the bank is 4. 5°/op.a. calculated at the end of March and September, find the balance in his account at the end of the year.
| Date | Particulars | Withdrawls | Deposits | Balance |
| 03.01.2006 | By B/F | 17900.00 | ||
| 09.01.2006 | To Cash | 3700.00 | 14200.00 | |
| 06.02.2006 | To Cheque | 2450.00 | 11750.00 | |
| 21.02.2006 | By Cash | 15600.00 | 27350.00 | |
| 17.03.2006 | By Cash | 9850.00 | 37200.00 | |
| 31.03.2006 | By Interest | |||
| 06.06.2006 | To Cheque | 4100.00 | ||
| 22.08.2006 | To Cash | 1500.00 | ||
| 05.09.2006 | By Cheque | 17300.00 | ||
| 09.09.2006 | To Cash | 6300.00 | ||
| 30.09.2006 | By Interest | |||
| 04.12.2006 | To Cash | 3000.00 | ||
| 11.12.2006 | By Cheque | 11760.00 |
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Solution
| Months | Minimum balance between 10th day and the last day |
| Jan | 14200 |
| Feb | 11750 |
| MAr | 27350 |
Total principal at the end of March =Rs 53,300
Interest at the end of March
= `(53300 xx 4.5 xx 1)/(100 xx 12) = 199.87`
Thus the interest is Rs 200 Now entering the interest in pass book we get the remaining balances as below:
| Date | Particulars | Withdrawls | Deposits | Balance |
| 03.01.2006 | By B/F | 17900.00 | ||
| 09.01.2006 | To Cash | 3700.00 | 14200.00 | |
| 06.02.2006 | To Cheque | 2450.00 | 11750.00 | |
| 21.02.2006 | By Cash | 15600.00 | 27350.00 | |
| 17.03.2006 | By Cash | 9850.00 | 37200.00 | |
| 31.03.2006 | By Interest | 200.00 | 37400.00 | |
| 06.06.2006 | To Cheque | 4100.00 | 33300.00 | |
| 22.08.2006 | To Cash | 1500.00 | 31800.00 | |
| 05.09.2006 | By Cheque | 17300.00 | 49100.00 | |
| 09.09.2006 | To Cash | 6300.00 | 42800.00 | |
| 30.09.2006 | By Interest | 810.00 | 43610.00 | |
| 04.12.2006 | To Cash | 3000.00 | 40610.00 | |
| 11.12.2006 | By Cheque | 11760.00 | 52370.00 |
* Interest calculated below.
For calculating interest at the end of September.
| Months | Minimum balance between 10th day and the last day |
| Apr | 37400 |
| May | 37400 |
| June | 33300 |
| July | 33300 |
| Aug | 31800 |
| Sep | 42800 |
Total principal at the end of September= Rs 216000
Interest = `(216000 xx 4.5 xx 1)/(100 xx 12) = 810`
Now entering the interest in the pass book above, we get the balance Rs 52,370 at the end o year.
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