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Question
The entries in the passbook of a Saving Bank Account holder are as follows:
Date | Particulars | Withdrawals(₹) | Deposits(₹) | Balance(₹) |
Feb. 12, 1986 | By cash | - | 2,000·00 | 2,000·00 |
March 10 | By cash | - | 1,100·00 | 3,100·00 |
April 20 | To cheque no. 231 | 800·00 | - | 2,300·00 |
April 25 | By cash | - | 700·00 | 3,000·00 |
May 11 | To cheque no. 232 | 700·00 | - | 2,300·00 |
July 2 | By cash | - | 400·00 | 2,700·00 |
July 8 | By cash | - | 500·00 | 3,200·00 |
Aug. 10 | By cash | - | 600·00 | 3,800·00 |
Aug. 28 | To cheque no. 233 | 200·00 | - | 3,600·00 |
Rate of interest is 5% per annum. Calculate the interest due if the account is closed on:
(i) September 29, 1986
(ii) October 1, 1986.
Solution
Principal for the month of February = Nil
Principal for the month of March = ₹ 3,100·00
Principal for the month of April = ₹ 2,300·00
Principal for the month of May = ₹ 2,300·00
Principal for the month of June = ₹ 2,300·00
Principal for the month of July = ₹ 3,200·00
Principal for the month of August = ₹ 3,600·00
Total ₹ 16,800·00
(i) If the account is dosed on Sept 29, 1986, then month of Sept., will not earn interest and principal for one month Rs. 16,800.
Rate = 5% p.a.
Interest = ₹`((16,800 xx 5)/(100) xx (1)/(12))`
= ₹ `(168 xx 5)/(12)`
= ₹ 14 x 5
= ₹ 70
(ii) If the account is closed on Oct. 1, 1986
Interest due for the month of September = `("P" xx "R" xx "T")/(100)`
= ₹`((3,600 xx 5)/(100) xx (1)/(12))`
= ₹ 15
∴ Interest due = ₹ (70 + 15) = ₹ 85.
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