Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Let each monthly instalment = Rs x
Rate of interest = 11%
Period (n) = `4(1)/(2)` years or 54months,
Total principal for one month
= `₹ x xx ("n"("n" + 1))/(2)`
= `₹ x xx (54(54 + 1))/(2)`
= `x xx (54 xx 55)/(2)`
= 1485x
Interest
= `(1485x xx 11 xx 1)/(100 xx 12)`
= 13.6125x
∴ Total amount of maturity
= 54x + 13.6125x
= 67.6125x
∴ 67.6125x = 101418.75
x = `(101418.75)/(67.6125)`
= ₹1500
∴ Deposit per month = ₹1500.
APPEARS IN
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. Britto deposits a certain sum of money each month in a Recurring Deposit Account of a bank. It the rate of interest is of 8% per annum and Mr. Britto gets Rs. 8,088 from the bank after 3 years, find the value of his monthly instalment.
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.
Mrs. Swami had a savings bank account with the state bank of India, from `13^"th"` Feb 09 to 6th August 09. The following table shows the entries in her passbook for the above said periods. Calculate the interest earned by Mrs. Swami on her S.B. Account up to `31^"st"` July 09 at the rate of 5% per annum.
| Date | Particulars | Amount Withdrawn (Dr) Rs P | Amount Deposits (Cr) Rs. P | Balance Rs. P |
| Feb 13 | By Cash | 500.00 | 500.00 | |
| March 3 | By cheque | 735.00 | 1,235.00 | |
| March 14 | By cheque | 1,040.00 | 2,275.00 | |
| May 10 | To cheque | 240.00 | 2.035.00 | |
| May 22 | To cash | 430.00 | 1,605.00 | |
| June 19 | By cash | 780.00 | 2,385.00 | |
| July 26 | To cash | 980.00 | 1,405.00 |
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 |
Zafarullah has a recurring deposit The list price of the television be? 12,500. account in a bank for 3½ years at 9.5% S.I. p.a. If he gets Rs. 78,638 at the time of maturity. Find the monthly instalment.
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. Mishra has a Savings Bank Account in Allahabad Bank. His passbook entries are as follows:
| Date | Particulars | Amount Withdrawals(₹) |
Amount Deposits(₹) | Amount Balance(₹) |
| Jan. 4, 2007 | By Cash | - | 1,000·00 | 1,000·00 |
| Jan. 11, 2007 | By Cheque | - | 3,000·00 | 4,000·00 |
| Feb. 3, 2007 | By Cash | - | 2,500·00 | 6,500·00 |
| Feb. 7, 2007 | To Cheque | 2,000·00 | - | 4,500·00 |
| March 3, 2007 | By Cash | - | 5,000·00 | 9,500·00 |
| May 25, 2007 | By Cash | - | 2,000·00 | 11,500·000 |
| June 7, 2007 | By Cash | - | 3,500·00 | 15,000·00 |
| Aug 29, 2007 | To Cheque | 1,000·00 | - | 14,000·00 |
Rate of interest paid by the bank is 4.5% per annum. Mr. Mishra closes his account on 30th October, 2007. Find the interest he receives.
A page from the saving bank account of Priyanka is given below:
| Date | Particulars | Amount withdrawn(₹) |
Amount deposited (₹) |
Balance (₹) |
| 3/4/2006 | B/F | - | - | 4,000·00 |
| 5/4/2006 | By Cash | - | 2,000·00 | 6,000·00 |
| 18/4/2006 | By cheque | - | 6,000·00 | 12,000·00 |
| 25/5/2006 | To cheque | 5,000·00 | - | 7,000·00 |
| 30/5/2006 | By cash | - | 3,000·00 | 10,000·00 |
| 20/7/2006 | By self | 4,000·00 | - | 6,000·00 |
| 10/9/2006 | By cash | - | 2,000·00 | 8,000·00 |
| 19/9/2006 | To cheque | 1,000·00 | - | 7,000·00 |
If the interest earned by Priyanka for the period ending September 2006 is Rs. 175, find the rate of interest.
Naveen deposits ₹ 800 every month in a recurring deposit account for 6 months. If he receives ₹ 4884 at the time of maturity, then the interest he earns is ______.
