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प्रश्न
Amit deposited Rs. 150 per month in a bank for 8 months under the Recurring Deposit Scheme. What will be the maturity value of his deposits, if the rate of interest is 8% per annum and interest is calculated at the end of every month?
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उत्तर
Interest on his deposit = `(n(n + 1))/(2)xx ("Instalment" xx "Rate")/(100 xx 12)`
= `(8(8 + 1))/(2) xx (150)/(100) xx (8)/(12)`
= `(8 xx 9 xx 150 xx 8)/(2 xx 100 xx 12)`
= ₹ 36
Maturity value
= ₹ 150 × 8 + ₹ 36
= ₹ 1,200 + ₹ 36
= ₹ 1,236
संबंधित प्रश्न
Mr. Richard has a recurring deposit account in a bank for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8325 interest at the time of maturity, find:
- The monthly deposit
- The maturity value.
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.
A savings bank account was opened by Mrs. Roy on 3.7.12 and closed on 31.01.13. The entries in the passbook of Mrs. Roy were as given below:
| Date | Particulars | Debit (In Rs) | Credit (In Rs) | Balance (In Rs) |
| 3.7.12 | By cash | 690.00 | ||
| 15.7.12 | By cash | 1,153.00 | ||
| 27.8.12 | By Cheque | 2,468.00 | ||
| 30.8.12 | To cash | 946.00 | ||
| 12.9.12 | To Cheque | 1,000.00 | ||
| 20.11.12 | By Cheque | 3,000.00 | ||
| 26.11.12 | By cash | 750.00 | ||
| 28.11.12 | To Cash | 1,570.00 |
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(ii) Also, calculate the interest when the principal for every month is taken as the nearest multiple of 10.
Mrs. Goswami deposits Rs. 1000 every month in a recurring deposit account for 3 years at 8% interest per annum. Find the matured value.
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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| Date | Particulars | Amount withdrawn(₹) |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 |
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