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प्रश्न
Mr. Dhruv deposits Rs 600 per month in a recurring deposit account for 5 years at the rate of 10% per annum (simple interest). Find the amount he will receive at the time of maturity.
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उत्तर
Deposit per month = ₹ 600
Rate of interest = 10% p.a.
Period (n) = 5 years 60 months.
Total principal for one month
= `₹600 xx ("n"("n" + 1))/(2)`
= `₹600 xx (60(60 + 1))/(2)`
= `₹(600 xx 60 xx 61)/(2)`
= ₹ 1098000
Interest
= `"prt"/(100)`
= `(1098000 xx 10 xx 1)/(100 xx 12)`
= ₹ 9150
∴ Amount of maturity
= ₹ 600 × 60 + ₹ 9150
= ₹ 36000 + ₹ 9150
= ₹ 45150.
संबंधित प्रश्न
Given below are the entries in a Saving Bank A/c passbook.
| Date | Particulars | Withdrawals | Deposit | Balance |
| Feb8 | B/F | - | - | Rs. 8500 |
| Feb 18 | To self | Rs. 4000 | - | |
| April 12 | By cash | - | Rs. 2230 | |
| June 15 | To self | Rs. 5000 | - | |
| July 8 | By cash | - | Rs. 6000 |
Calculate the interest for six months from February to July at 6% p.a.
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.
Peter has a recurring deposit account in Punjab National Bank at Sadar Bazar, Delhi for 4 years at 10% p.a. He will get Rs 6,370 as interest on maturity. Find
- monthly installment
- the maturity value of the account.
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| Date | Particulars | Amount Withdrawn (In Rs) |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.
A page from the passbook of Asha is given below:
| Date | Particulars | Amount Withdrawn (Dr) Rs P | Amount Deposits (Cr) Rs. P | Balance Rs. P |
| Jan 5 March 7 April 2 April 10 Oct , 6 Dec, 8 |
Balance B/F To Cheque By Cheque By Cheque By Cheque By Cash |
1,200.00
950.00 |
2,300.00
1,700.00
|
3,750.00
|
Complete the passbook and then calculate the interest for the period January to December 5% per annum.
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 Khandelkar invests Rs 900 every month in a recurring deposit account for a period of 3 years at a simple interest rate of 8% pa
(a) Find the total interest she will earn at the end of the period.
(b) Find the maturity value of her deposits.
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.
In a recurring deposit account, John deposits ₹ 500 per month for 24 months. If the interest he earns is one-tenth of his total deposit, the rate of interest is ______.
