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Question
Akash, an employee of a bank, has a saving bank account in his bank that pays him
interest at the rate of 5% p.a., which is compounded every June and December. His passbook entries are as follow:
| Date | Particulars | Withdrawals(₹) | Deposits(₹) | Balance(₹) |
| Feb. 3, 1981 | By cash | - | 500·00 | 500·00 |
| Feb, 11 | To cheque no. 371 | 200·00 | - | 300·00 |
| Feb. 11 | By cheque | - | 700·00 | 1,000·00 |
| March 1 | By salary | - | 2,350·00 | 3,350·00 |
| March 4 | To withdrawals slip | 1,500·00 | - | 1,850·00 |
| March 31 | To Urnil | 150·00 | - | 1,700·00 |
| April 1 | By salary | - | 2.350·00 | 4,050·00 |
| April 2 | To Sri Ram | 1,800·00 | - | 2,250·00 |
| May 1 | By salary | - | 2,350·00 | 4,600·00 |
| May 3 | To accountant | 2,000·00 | - | 2,600·00 |
Calculate the interest due at the end of June and find the balance on July 1, if he deposits a cash of? 100 on July 1, which is also entered immediately.
Solution
Principal for the month of Feb = ₹ 300
Principal for the month of March = ₹ 1,700
Principal for the month of April = ₹ 2,250
Principal for the month of May = ₹ 2,600
Principal for the month of June = ₹ 2,600
Total = ₹ 9,450
Principal for one month = ₹ 9,450
Rate (R) = 5%
Interest at the end of June (I)
= `("P" xx "R" xx "T")/(100)`
= ₹`(9,450 xx 5)/(100) xx (1)/(12)`
= ₹39·38
Balance on July 1 = ₹ (2,600 + 39·38 + 100) = ₹ 2,739·38.
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