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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
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.
Geeta opened a savings bank account in a bank on `7^"th"` Nov., 08 and deposited Rs. 750. She withdrew Rs. 200 on `30^"th"` Nov., 08. If no other withdrawal or deposit was made by her during this month; find the amount on which she would receive interest for the month of Nov., 08.
The entires in a savings bank passbook are as given below:
| Date | Particulars | Particulars Withdrawals (In Rs) |
Deposits (In Rs) | Balance (In Rs) |
| 01.01.03 01.02.03 12.02.03 05.04.03 15.04.03 09.05.03 04.06.03 |
B/F By cash To cheque By Cash To cheque By cash By Cash |
5,000.00 4,250.00 |
11,500.00
1,500 1,500 |
14,000.00 25.500.00 20,500.00 24,250.00 20,000.00 21,500.00 23,000.00 |
Calculate the interest for six months (January to June) at 4% per annum on the minimum balance on or after the tenth day of each month
A page from the passbook of Mr. Rohit is given below. The interest accrued for the period January to December 2006 at a certain rate of interest per annum is Rs. 377.40. without taking the principal as the nearest multiple of Rs. 10, calculate the rate:
| Date | Particulars | Debit (Rs) | Credit (Rs) | Balance (Rs) |
| 2006 | ||||
| Jan 1 | Balance B/F | 7,500.00 | ||
| March 7 | By Cheque | 1,875.00 | ||
| March 10 | By Cash | 625.00 | ||
| July 17 | To self | 3,250.00 | ||
| Oct 5 | By Cheque | 2,160.00 | ||
| Dec 19 | To Cheque | 1,340.00 |
Aarushi has a recurring deposit account for 2 years at 6% pa. She receives Rs 1,125 as interest on maturity.
(a) Find the monthly instalment amount.
(b) Find the maturity amount.
Mr. Banerjee opens a recurring deposit account for Rs 3,000 per month at 9% simple interest pa. On maturity, he gets Rs. 1,70,460. Find the period for which he continued with the account.
Mr. Pradip deposited Rs 2,400 pm in bank for One year 6 months under the recurring deposit scheme. If the maturity value of his deposit is Rs 47,304 find the rate of interest per annum.
A page from the passbook of Mrs. Rama Bhalla is given below:
Calculate the interest due to Mrs. Bhalla for the period from January 2004 to December 2004, at the rate of 5% per annum.
| Date Year 2004 |
Particulars | Amount (₹) Withdrawals |
Amount (₹)Deposits |
Balance (₹) |
| January 1 | B/F | - | - | 2,000.00 |
| January 9 | By cash | - | 200.00 | 2,200.00 |
| February 10 | To cheque | 500.00 | - | 1,700.00 |
| February 24 | By cheque | - | 300.00 | 2,000.00 |
| July 29 | To cheque | 200.00 | - | 1,800.00 |
| November 7 | By cash | - | 300.00 | 2,100.00 |
| December 8 | By cash | - | 200.00 | 2,300.00 |
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 |
₹ 800 per month is deposited in an R.D. account for one and half years. If the depositor gets ₹ 2,280 as interest at the time of maturity, the rate of interest is ______.
