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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.
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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.
RELATED QUESTIONS
David opened a Recurring Deposit Account in a bank and deposited Rs. 300 per month for two years. If he received Rs. 7,725 at the time of maturity, find the rate of interest per annum.
Ritu has a Recurring Deposit Account in a bank and deposits Rs. 80 per month for 18 months. Find the rate of interest paid by the bank if the maturity value of the account is Rs. 1,554.
Rishabh has the recurring deposit account in a post office for 3 years at 8% p.a. simple interest. If he gets Rs 9,990 as interest at the time of maturity, find:
1) The monthly instalment.
2) The amount of maturity.
John had a S.B. Account in Bank of Baroda. His passbook had the following entries:
| Date | Particulars | Amount Withdrawn (In Rs) |
Amount Deposits (In Rs) |
Balance (In Rs) |
| Jan 1, 2000 Jan, 8 Feb 18 May 19 July 15 Oct 7 |
By Balance By cash To Cheque By Cash To self By cash |
- - 10,500 - 2,400 - |
- 6,000 - 6,300 - 3,600 |
9,600 15,600 5,100 11,400 9,000 12,600 |
On October 30, 2000 John received his transfer order and closed the account. If the amount of interest he received on closing the account on 30th, Oct 2000 is Rs. 310; calculate the rate of interest per annum.
Manu opened a savings bank account in the state bank of India on 3rd sept, 12 with Rs. 2,700. He withdrew Rs. 1,200 from the bank on 8th sept, 12 and deposited Rs. 500 on 17th sept, 12. If he did not make any further deposits or withdrawals during this month; find the amount on which he would receive interest for sept, 12.
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 |
Mr. Menon deposit Rs 1,200 per month in a cumulative deposit account for a period of 5 years. After the end of the period, he will receive Rs 88,470. (a) Find the rate of the interest per annum. (b) Find the total interest that Mr. Menon will earn.
Mr. Richard has a recurring deposit account in a post office for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8,325 as interest at the time of maturity, find:
- the monthly instalment.
- the amount of maturity.
Kiran deposited 200 per month for 36 months in a bank’s recurring deposit account. If the bank pays interest at the rate of 11% per annum, find the amount she gets on maturity.
Given the following details, calculate the simple interest at the rate of 6% per annum up to June, 30:
| Date | Debit (in ₹) | Credit (in ₹) | Balance (in ₹) |
| January 1 | - | 24,000·00 | 24,000·00 |
| January 20 | 5,000·00 | - | 19,000·00 |
| January 29 | - | 10,000·00 | 29,000·00 |
| March 15 | - | 8,000·00 | 37,000·00 |
| April 3 | - | 7,653·00 | 44,653·00 |
| May 6 | 3,040·00 | - | 41,613·00 |
| May 8 | - | 5,087·00 | 46,700·00 |
