Advertisements
Advertisements
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.
Advertisements
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
Shahrukh opened a Recurring Deposit Account in a bank and deposited Rs 800 per month for 1 1/2 years. If he received Rs 15084 at the time of maturity, Find the rate of interest per annum.
A page from the passbook of Mrs. Rama Bhalla is given below:
| Date | Particulars | Withdrawals (In Rs) | Deposits (In Rs) | Balance (In Rs) |
| January 1 | B/F | 2,000.00 | ||
| January 9 | By Cash | 200.00 | 2,200.00 | |
| February 10 | To Cheque | 500.00 | 1,700.00 | |
| February 24 | By Cheque | 300.00 | 2,000.00 | |
| July 29 | To Cheque | 200.00 | 1,800.00 | |
| November 7 | By Cash | 300.00 | 2,100.00 | |
| December 8 | By Cash | 200.00 | 2,300.00 |
Calculate the interest to Mrs. Bhalla for the period from January 2004 to December 2004, at the rate of 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.
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 are the entries in the passbook of a saving account of Ananya during the year 2007. If interest is calculated at 5 % pa, find the interest earned by Ananya during the year
| Date | Particulars | Withdrawals | Deposits | Balance |
| 01.01.2007 | By B/F | 6500.00 | ||
| 05.02.2007 | By Cheque | 7500.00 | 14000.00 | |
| 09.02.2007 | To Cash | 1500.00 | 12500.00 | |
| 06.06.2007 | By Cash | 1725.00 | 14225.00 | |
| 08.09.2007 | By Cheque | 375.00 | 14600.00 | |
| 06.11.2007 | By Cash | 6000.00 | 20600.00 | |
| 10.12.2007 | To Cheque | 2500.00 | 18100.00 |
Mr. Richard has a recurring deposit account in a post office for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8,325 as interest at the time of maturity, find:
- the monthly instalment.
- the amount of maturity.
Mrs. Goswami deposits Rs. 1000 every month in a recurring deposit account for 3 years at 8% interest per annum. Find the matured value.
Given below are the entries in a Savings Bank A/c passbook:
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| Feb 8 | B/F | - | - | ₹ 8,500 |
| Feb 18 | To self | ₹ 4,000 | - | - |
| April 12 | By cash | - | ₹ 2,230 | - |
| June 15 | To self | ₹ 5,000 | - | - |
| July 8 | By cash | - | ₹ 6,000 | - |
Calculate the interest for six months from February to July at 6 % p.a.
A page from the passbook of Mrs. Rama Bhalla is given below:
Calculate the interest due to Mrs. Bhalla for the period from January 2004 to December 2004, at the rate of 5% per annum.
| Date Year 2004 |
Particulars | Amount (₹) Withdrawals |
Amount (₹)Deposits |
Balance (₹) |
| January 1 | B/F | - | - | 2,000.00 |
| January 9 | By cash | - | 200.00 | 2,200.00 |
| February 10 | To cheque | 500.00 | - | 1,700.00 |
| February 24 | By cheque | - | 300.00 | 2,000.00 |
| July 29 | To cheque | 200.00 | - | 1,800.00 |
| November 7 | By cash | - | 300.00 | 2,100.00 |
| December 8 | By cash | - | 200.00 | 2,300.00 |
Shahrukh opened a Recurring Deposit Account in a bank and deposited Rs. 800 per month for `1 1/2` years. If he received Rs. 15,084 at the time of maturity, find the rate of interest per annum.
