Advertisements
Advertisements
Question
Mr. Ashok has an account in the Central Bank of India. The following entries are from his passbook:
| Date | Particulars | Withdrawals (₹) |
Deposits (₹) |
Balance (₹) |
| 01-01-05 | B/F | - | - | 1,200·00 |
| 07-01-05 | By cash | 500·00 | 1,700·00 | |
| 17-01-05 | To cheque | 400·00 | - | 1,300·00 |
| 10-02-05 | By cash | - | 800·00 | 2,100·00 |
| 25-09-05 | By cheque | 500·00 | - | 1,600·00 |
| 20-09-05 | By cash | - | 700·00 | 2,300·00 |
| 21-11-05 | To cheque | 600·00 | - | 1,700·00 |
| 05-12-05 | By cash | - | 300·00 | 2,000·00 |
If Mr. Ashok gets Rs. 83.75 as interest at the end of the year where the interest is compounded annually, calculate the rate of interest paid by the bank in his Savings Bank Account on 31st December 2005.
Advertisements
Solution
| Month | Minimum Balance between 10th day and last day (in ₹) | Qualifying Amount for interest |
| January | 1,300 | 1,300 |
| February | 1,600 | 1,600 x 8 = 12,800 |
| March | 1,600 | |
| April | 1,600 | |
| May | 1,600 | |
| June | 1,600 | |
| July | 1,600 | |
| August | 1,600 | |
| September | 1,600 | |
| October | 2,300 | 2,300 |
| November | 1,700 | 1,700 |
| December | 2,000 | 2,000 |
| Total | ₹ 20,100 |
Principal for 1 month = ₹ 20,100
Let x be Rate interest
then
Interest = `(20,100 xx x xx 1)/(100 xx 12)`
∴ 83·75 = `(20,100x)/(1,200)`
x = `(83·75 xx 1,200)/(20,100)`
x = 5
∴ Rate = 5%
RELATED QUESTIONS
Ahmed has a recurring deposit account in a bank. He deposits Rs. 2,500 per month for 2 years. If he gets Rs. 66,250 at the time of maturity, find
- The interest paid by the bank
- 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.
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 |
Mr. Verma opened a savings bank account with the state bank of India on 5th April 2007 with Rs. 8,500. For the financial year 2007-2008, the other transactions with the bank are given below:
(i) 15-05.2007; deposited Rs. 3,700
(ii) 27-07-2007; withdrew Rs. 2,400
(iii) 06-09-2007; withdrew Rs. 1,600
(iv) 18-12-2007; deposited Rs. 4,500
(v) 29-01-2008; Deposited Rs. 1,900
(vi) 23-03-2008; account closed.
Taking the rate of interest as 6% per annum, find the amount that Mr. Verma gets on closing the account.
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. Chaudhary opened a Saving’s Bank Account at State Bank of India on 1st April 2007.
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| 1st April 2007 | By Cash | - | 8,550·00 | 8,550·00 |
| 12th April 2007 | To Self | 1,200·00 | - | 7,350·00 |
| 24th April 2007 | By cash | - | 4,550·00 | 11,900·00 |
| 8th July 2007 | By Cheque | - | 1,550·00 | 13,400·00 |
| 10th Sept. 2007 | By Cheque | - | 3,500·00 | 16,900·00 |
| 17th Sept. 2007 | To Cheque | 2,500·00 | - | 14,400·00 |
| 11th Oct. 2007 | By Cash | - | 800·00 | 15,200·00 |
| 6th Jan. 2008 | To Self | 2,000·00 | - | 13,200·00 |
| 9th March 2008 | By Cheque | - | 950·00 | 14,150·00 |
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.
Mrs. Kapoor opened a Savings Bank Account in State Bank of India on 9th January 2008. Her passbook entries for the year 2008 are given below:
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| Jan. 9, 2008 | By cash | - | 10,000 | 10,000 |
| Feb. 12, 2008 | By cash | - | 15,500 | 25,500 |
| April 6, 2008 | To Cheque | 3,500 | - | 22,000 |
| April 30, 2008 | To Self | 2,000 | - | 20,000 |
| July 16, 2008 | By Cheque | - | 6,500 | 26,500 |
| August 4, 2008 | To Self | 5,500 | - | 21,000 |
| August 20, 2008 | To Cheque | 1,200 | - | 19,800 |
| Dec. 12, 2008 | By Cash | - | 1,700 | 21,500 |
Mrs. Kapoor closes the account on 31st December, 2008. If the bank pays interest at 4% per annum, find the interest Mrs. Kapoor receives on closing the account. Give your answer correct to the nearest rupee.
Salom deposited Rs 150 per month in a bank for 8 months under the Recurring Deposit Scheme. ‘What will be the maturity value of his deposit if the rate of interest is 8% per annum?
Mrs. Goswami deposits Rs. 1000 every month in a recurring deposit account for 3 years at 8% interest per annum. Find the matured value. (2009)
Rajiv Bhardwaj has a recurring deposit account in a bank of Rs 600 per month. If the bank pays simple interest of 7% p.a. and he gets Rs 15450 as maturity amount, find the total time for which the account was held.
