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प्रश्न
Mrs. Geeta deposited Rs. 350 per month in a bank for 1 year and 3 months under the Recurring Deposit Scheme. If the maturity value of her deposits is Rs. 5,565; find the rate of interest per annum.
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उत्तर
Installment per month (P) = Rs. 350
Number of months (n) = 15
Let rate of interest (r) = r% p.a.
∴ `S.I. = P xx (n(n + 1))/(2 xx 12) xx r/100`
= `350 xx (15(15 + 1))/(2 xx 12) xx r/100`
= `350 xx 240/24 xx r/100`
= Rs. (35)r
Maturity value = Rs. (350 × 15) + Rs. (35)r
Given maturity value = Rs. 5,565
Then Rs. (350 × 15) + Rs. (35)r = Rs. 5,565
`=>` 35r = Rs. 5,565 – Rs. 5,250
`=>` r = `315/35` = 9%
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संबंधित प्रश्न
A page from the savings bank account of Mrs Ravi is given below.
| Date | Particulars | Withdrawal (Rs.) |
Deposit (Rs.) | Balance (Rs.) |
| April 3rd 2006 | B/F | 6000 | ||
| April 7th | By cash | 2300 | 8300 | |
| April 15th | By cheque | 3500 | 11800 | |
| May 20th | To self | 4200 | 7600 | |
| June 10th | By cash | 5800 | 13400 | |
| June 15th | To self | 3100 | 10300 | |
| August 13th | By cheque | 1000 | 11300 | |
| August 25th | To self | 7400 | 3900 | |
| September 6th 2006 |
By cash | 2000 | 5900 |
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at the end of 30th September 2006 at 4.5% per annum interest. Hence, find the
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Withdrawal (Rs.) |
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| April 16, 2010 | , By cash | - | 2500 | 2500 |
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| May 9th | To cheque | 850 | - | 4650 |
| May 15th | By cash | 1600 | 6250 | |
| May 24th | To cash | 1000 | - | 5250 |
| June 4th | To cash | 500 | - | 4750 |
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Fill in the blanks in the table.
| Principal | Rate of interest (p.c.p.a.) | Time | Interest | Amount |
| 8000 | 5% | ...... | 800 | ...... |
