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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. 15,084 at the time of maturity, find the rate of interest per annum.
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उत्तर
Money deposited by Shahrukh per month (P) = Rs. 800
r = ?
No. of months (n) = `1(1)/(2)`
= `(3)/(2) xx 12`
= 18 months
∴ Interest = `P xx (n(n + 1))/(2 xx 12) xx r/(100)`
= `₹ 800 xx (18(18 + 1))/(2 xx 12) xx r/(100)`
= `₹ 800 xx (18 xx 19)/(2 xx 12) xx r/(100)`
= 114r
∴ Maturity amount = 114r + 800 × 18
⇒ ₹ 15084 = 114r + ₹ 14400
⇒ ₹ 15084 – ₹ 14400 = 114r
⇒ 684 = 114r
r = `(684)/(114)`
= 6%
संबंधित प्रश्न
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- Matured value.
A page from the passbook of Asha is given below:
| Date | Particulars | Amount Withdrawn (Dr) Rs P | Amount Deposits (Cr) Rs. P | Balance Rs. P |
| Jan 5 March 7 April 2 April 10 Oct , 6 Dec, 8 |
Balance B/F To Cheque By Cheque By Cheque By Cheque By Cash |
1,200.00
950.00 |
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|
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|
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| 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 | |
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| 05.01.2008 | By B/F | 24650.00 | ||
| 09.01.2008 | By cash | 14390.00 | 39040.00 | |
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| 21.02.2008 | By Cheque | 8350.00 | 39790.00 | |
| 07.03.2008 | To Cash | 4000.00 | 35790.00 | |
| 31.03.2008 | By Interest | |||
| 08.04.2008 | By Cheque | 13670.00 | ||
| 12.04.2008 | To Cash | 6000.00 | ||
| 01.05.200 | By Cheque | 17350.00 | ||
| 16.06.2008 | By Cash | 9000.00 | ||
| 27.06.2008 | To Cash | 4370.00 | ||
| 04.07.2008 | By Cheque | 21320.00 | ||
| 11.07.2008 | To Cheque | 9460.00 | c |
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Deposits (in ₹) |
Balance (in ₹) |
| January 1st, 2006 | B/F | - | - | 1,270 |
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| January 1 | - | 24,000·00 | 24,000·00 |
| January 20 | 5,000·00 | - | 19,000·00 |
| January 29 | - | 10,000·00 | 29,000·00 |
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John deposited Rs 400 every month in a bank’s recurring deposit account for `2(1)/(2)` years. If he gets Rs 1085 as interest at the time of maturity, then the rate of interest per annum is
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- the rate of simple interest.
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