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Question
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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Solution
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
RELATED QUESTIONS
David opened a Recurring Deposit Account in a bank and deposited Rs. 300 per month for two years. If he received Rs. 7,725 at the time of maturity, find the rate of interest per annum.
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.
Given below is a page from the passbook of the savings bank account of Mr. Rajesh. Complete the entries in the passbook and calculate the interest paid to him by the bank at 6°/o pa in the end of June.
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| 08.02.2008 | By Cash | 12000.00 | ||
| 15.03.2008 | To cash | 3000.00 | ||
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Deposits (in ₹) |
Balance (in ₹) |
| Jan 3, 07 | B/F | - | - | 2,642·00 |
| Jan 16 | To self | 640.00 | - | 2,002·00 |
| March 5 | By cash | - | 850·00 | 2,852·00 |
| April 10 | To self | 1130.00 | - | 1,722·00 |
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| June 15 | By cash | 577.00 | - | 1,795·00 |
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| Feb, 11 | To cheque no. 371 | 200·00 | - | 300·00 |
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| March 1 | By salary | - | 2,350·00 | 3,350·00 |
| March 4 | To withdrawals slip | 1,500·00 | - | 1,850·00 |
| March 31 | To Urnil | 150·00 | - | 1,700·00 |
| April 1 | By salary | - | 2.350·00 | 4,050·00 |
| April 2 | To Sri Ram | 1,800·00 | - | 2,250·00 |
| May 1 | By salary | - | 2,350·00 | 4,600·00 |
| May 3 | To accountant | 2,000·00 | - | 2,600·00 |
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