Advertisements
Advertisements
प्रश्न
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
विकल्प
6%
7%
8%
9%
Advertisements
उत्तर
Deposit(P) = Rs400 per month
Period(n) = `2(1)/(2)` years = 3 months
Interest = Rs1085
Let r% be the rate of interest
∴ Interest
= `("P" xx "n" xx ("n" + 1))/(2 xx 12) xx "r"/(100)`
1085 = `₹(400 xx 30 xx 31 xx "r")/(2 xx 12 xx 100)`
1085 = 155r
⇒ r = `(1085)/(155)` = 7
∴ Rate 7% p.a.
APPEARS IN
संबंधित प्रश्न
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
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.
Given below is a page from the passbook of a saving bank account of Dolly Majumdar. Complete the entries in the passbook and find the interest earned by the account holder in the month of November if the rate of simple interest is 5°/o pa.
| Date | Particular | Withdrawals | Deposits | Balance |
| 01.04.2007 | By B/F | 16500.00 | ||
| 15.04.2007 | By Cash | 2500.00 | ||
| 09.06.2007 | To Cheque | 6500.00 | ||
| 04.07.2007 | By Cash | 9000.00 | ||
| 12.07.2007 | To Cash | 3500.00 | ||
| 05.09.2007 | To Cash | 4000.00 | ||
| 10.11.2007 | By Cheque | 12000.00 |
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. 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.
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.
Shweta deposits Rs. 350 per month in a recurring deposit account for one year at the rate of 8% p.a. Find the amount she will receive at the time of maturity.
Shilpa has a 4 year recurring deposit account in Bank of Maharashtra and deposits Rs 800 per month. If she gets Rs 48200 at the time of maturity, find
- the rate of simple interest.
- the total interest earned by Shilpa.
Mr. Chaturvedi has a recurring deposit account in Grindlay’s Bank for `4(1)/(2)` years at 11% p.a. (simple interest). If he gets Rs 101418.75 at the time of maturity, find the monthly installment.
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.
