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Question
Mr Choudhury opened a Saving Bank Account at State Bank of India on 1st April 2007. The entries of one year as shown in his passbook are given below.
| Date | Particulars | Withdrawals (in Rs.) | Deposits (in Rs.) | Balance (in Rs.) |
| Ist April 2007 | By Cash | - | 8550.00 | 8550.00 |
| 12th- April 2007 | To Self | 1200.00 | -- | 7350.00 |
| 24th April 2007 | By Cash | - | 4550.00 | 11900.00 |
| 8th July 2007 | By Cheque | - | 1500.00 | 13400.00 |
| 10th Sept. 2007 | By Cheque | - | 3500.00 | 16900.00 |
| 17th Sept. 2007 | By Cheque | 2500.00 | - | 14400.00 |
| 11th Oct. 2007 | By Cash | - | 800.00 | 15200.00 |
| 6th Jan. 2008 | To Self | 2000.00 | - | 13200.00 |
| 9th March 2008 | By Cheque | - | 950.00 | 14150.00 |
If the bank pays interest at the rate of 5% per annum, find the interest paid on 1st April 2008. Give your answer correct to the nearest rupee.
Solution
| Month | Balance (in Rs) |
| Apr 2007 | 7350 |
| May | 11900 |
| Jun | 11900 |
| Jul | 13400 |
| Aug | 13400 |
| Sep | 14400 |
| Oct | 14400 |
| Nov | 15200 |
| Dec | 15200 |
| Jan 2008 | 13200 |
| Feb | 13200 |
| Mar | 14150 |
| Total | 157800 |
∴ Principal for 1 month is Rs. 157700, and Rate = 5% p.a.
Interest paid = `="Principal x Rate x Time"/100 = (157700xx5xx(1/12))/100 = (263 xx 55)/2`
= `1315/2` = 657.08 = Rs 657 (in rupees)
The interest paid on `1^"st"` April, 2008 is Rs. 657.
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