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प्रश्न
Ritu has a Recurring Deposit Account in a bank and deposits Rs. 80 per month for 18 months. Find the rate of interest paid by the bank if the maturity value of the account is Rs. 1,554.
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उत्तर
MV = P × n + Interest
Given:
-
P = 80
-
n = 18
-
MV = 1554
Total deposit = P × n = 80 × 18 = 1440
Interest = MV − Total deposit = 1554 − 1440 = 114
`114 = (80xx18xx19xxR)/(2xx12xx100)`
`114 = (27360 xx R)/2400`
114 × 2400 = 27360 × R ⇒ 273600 = 27360 × R
`R = 273600/27360 = 10`
10%
संबंधित प्रश्न
Katrina opened a recurring deposit account with a Nationalised Bank for a period of 2 years. If the bank pays interest at the rate 6% per annum and the monthly instalment is Rs. 1,000, find the:
- Interest earned in 2 years.
- Matured value.
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 savings bank account in a bank. In the months of april, 97 and May, 97 He had the following entries in his passbook.
| Date | Particulars | Withdrawals (In Rs) | Deposits (In Rs) | Balance (In Rs) |
| April 1 | By Balance | 4,600.00 | ||
| April 7 | By cash | 1,200.00 | 5,800.00 | |
| April 24 | To Cheque | 800.00 | 5,000.00 | |
| May 16 | By Cheque | 2,000.00 | 7,000.00 | |
| May 29 | To Cash | 1,500.00 | 5,500.00 |
Find the amounts on which John will get interest for the months of April, 97 and May 97.
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.
Ms. Saha opened a cumulative deposit account of monthly instalment of Rs 1,200 at 9%p.a simple interest. She earned a total interest of Rs 5,328. How much installments did she pay?
Mohan saves Rs. 25 per month from his pocket allowance and puts this saving every month in a bank recurring deposit scheme for a period of 72 months at 5.25%. What amount does he get on maturity?
Suresh has joined a factory which pays wages by cheque only. He opens a S.B. account on Feb. 1, and his passbook has the following entries Upto 1st April of the year.
| Date | Particulars | Withdrawals(₹) | Deposits(₹) | Balance(₹) |
| Feb. 1 | By cash | - | 50·00 | 50·00 |
| Feb. 2 | By salary | - | 1,000·00 | 1,050·00 |
| Feb. 4 | To withdrawn slip | 200·00 | - | 850·00 |
| Feb. 15 | By overtime allowance | - | 300·00 | 1,150·00 |
| Feb. 24 | To Aslam | 100·00 | - | 1,050·00 |
| March 1 | By salary | - | 1,000·00 | 2,050·00 |
| March 7 | To cheque no. 212 | 500·00 | - | 1,550·00 |
| March 21 | To cheque no. 213 | 700·00 | - | 850·00 |
| March 27 | To self | 400·00 | - | 450·00 |
| Apr. 1 | By salary | - | 1,000·00 | 1,450·00 |
| Apr. 11 | By interest | - | - | - |
He closes the account on 11th April. Complete the entries for 11th April at the rate of 5%
A page from the Savings Bank Account of Mr. Prateek is given below:
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| January 1st, 2006 | B/F | - | - | 1,270 |
| January 7th, 2006 | By Cheque | - | 2,310 | 3,580 |
| March 9th, 2006 | To Self | 2,000 | - | 1,580 |
| March 26th, 2006 | By Cash | - | 6,200 | 7,780 |
| June 10th, 2006 | To Cheque | 4,500 | - | 3,280 |
| July 15th, 2006 | By Clearing | - | 2,630 | 5,910 |
| October 18th, 2006 | To Cheque | 530 | - | 5,380 |
| October 27th, 2006 | To Self | 2,690 | - | 2,690 |
| November 3rd, 2006 | By Cash | - | 1,500 | 4,190 |
| December 6th, 2006 | To Cheque | 950 | - | 3,240 |
| December 23rd, 2006 | By Transfer | - | 2,920 | 6,160 |
If he receives ₹198 as interest on 1st January 2007, find the rate of interest paid by the bank.
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.
