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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.
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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.
RELATED QUESTIONS
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.
Gopal has a cumulative deposit account and deposits Rs. 900 per month for a period of 4 years he gets Rs. 52,020 at the time of maturity, find the rate of interest.
Mr. Sen has a savings bank account with a post office.
(i) calculate the interest earned by Mr. Sen during the year 2010 at 6.5% per annum payable in December if the entries during the year in his passbook are as given below:
| Date | Particulars | Withdrawals (Rs) | Deposits (Rs) |
| 2.1.10 | By cash | 250.00 | |
| 9.1.10 | By Cheque | 825.00 | |
| 13.3.10 | To Cash | 325.00 | |
| 24.7.10 | By Cash | 1,237.00 | |
| 6.10.10 | To Cheque | 250.00 | |
| 22.12.10 | By Cheque | 958.00 |
(ii) Also, calculate the interest when the principal for every month is taken as the nearest multiple of Rs. 10.
Mrs. Chhabra deposits Rs 500 per month in a recurring deposit account for 4 years at a simple interest rate of 6% pa.
(a) Find the maturity value of deposit.
(b) Find the total interest she will earn after 2 years
What should be minimum monthly deposit in a recurring deposit for 3 years to get Rs 20,220 on maturity after 3 years at an interest rate of 8% pa.
A page of Passbook of Mrs. C. Malik Savings Bank Account in year 2002 is given below:
| Date Year 2002 | Particulars | Amount Withdrawn (in ₹) |
Amount Deposited (in ₹) |
Balance (in ₹) |
| Jan. 1 | By Balance | - | - | 2,100·00 |
| Jan. 7 | By Cash | - | 1,000·00 | 3,100·00 |
| Feb. 1 | By Cash | - | 500·00 | 3,600·00 |
| Feb. 15 | To Cheque | 2,000·00 | - | 1,600·00 |
| March 15 | By Cash | - | 2,000·00 | 3,600·00 |
| March 20 | To Cheque | 1,000·00 | - | 2,600·00 |
| June 12 | By Cash | - | 3,000·00 | 5,600·00 |
| June 28 | To Cheque | 1,000·00 | - | 4,600·00 |
| Oct. 15 | To Cheque | 3,000·00 | - | 4,600·00 |
| Nov. 5 | By Cash | - | 1,500·00 | 3,100·00 |
| Dec. 10 | By Cash | - | 500·00 | 3,600·00 |
| Dec. 20 | To Cheque | 1,000·00 | - | 2,600·00 |
If the rate of interest decreases from 5% to 4% with effect from June 1st, 2002, compute the interest at the end of the year.
Mr. Mishra has a Savings Bank Account in Allahabad Bank. His passbook entries are as follows:
| Date | Particulars | Amount Withdrawals(₹) |
Amount Deposits(₹) | Amount Balance(₹) |
| Jan. 4, 2007 | By Cash | - | 1,000·00 | 1,000·00 |
| Jan. 11, 2007 | By Cheque | - | 3,000·00 | 4,000·00 |
| Feb. 3, 2007 | By Cash | - | 2,500·00 | 6,500·00 |
| Feb. 7, 2007 | To Cheque | 2,000·00 | - | 4,500·00 |
| March 3, 2007 | By Cash | - | 5,000·00 | 9,500·00 |
| May 25, 2007 | By Cash | - | 2,000·00 | 11,500·000 |
| June 7, 2007 | By Cash | - | 3,500·00 | 15,000·00 |
| Aug 29, 2007 | To Cheque | 1,000·00 | - | 14,000·00 |
Rate of interest paid by the bank is 4.5% per annum. Mr. Mishra closes his account on 30th October, 2007. Find the interest he receives.
John deposited Rs 400 every month in a bank’s recurring deposit account for `2(1)/(2)` years. If he gets Rs 1085 as interest at the time of maturity, then the rate of interest per annum is
Radha deposited ₹ 400 per month in a recurring deposit account for 18 months. The qualifying sum of money for the calculation of interest is ______.
A certain money is deposited in a recurring deposit account for 15 months. If the interest earned for this deposit is one-fifth of the monthly instalment; the rate of interest is ______.
