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प्रश्न
Shahrukh opened a ‘Recurring Deposit’ account in a bank and deposited Rs. 800 per month for 1½ years. If he received Rs. 15,084 at the time of maturity, find the rate of interest per annum.
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उत्तर
Shahrukh deposited Rs. 800 per month for n = `1 1/2 ` years =18 months
∴ Total money deposited 18 x Rs. 800 Rs. 14400
Given that the maturity value = Rs 15084
Intrest paid by the banl
= Maturity Value - Total sum deposited
= 15084 - 14400
= Rs 684
Now
`I = P xx (n(n+1))/(2 xx12) xx r/100`
`=> 684 = 800 xx (18(18 + 1))/(2xx12) xx r/100`
`=> (684 xx 2 xx 12 xx 100)/(800 xx 18 xx 19) = r`
=> r = 6%
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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 |
She closed the account on 30th September 2006. Calculate the interest Mrs Ravi earned
at the end of 30th September 2006 at 4.5% per annum interest. Hence, find the
amount she receives on closing the account.
Sonia had a recurring deposit account in a bank and deposited Rs. 600 per month for 2 1/2 years. If the rate of interest was 10% p.a., find the maturity value of this account.
Virat opened a Savings Bank account in a bank on 16th April 2010. His pass book shows the following entries:
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Withdrawal (Rs.) |
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| April 16, 2010 | , By cash | - | 2500 | 2500 |
| April 28th | By cheque | - | 3000 | 5500 |
| 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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| July 3rd | By cash | - | 1800 | 8950 |
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Mr. Gupta opened a recurring deposit account in a bank. He deposited Rs. 2500 per month for two years. At the time of maturity he got Rs. 67,500. Find:
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If he closed the account on 14th December and if the rate of simple interest is 4% pa, then find the amount he received on closing the account.
Fill in the blanks in the table.
| Principal | Rate of interest (p.c.p.a.) | Time | Interest | Amount |
| 4200 | 7% | 3 years | ...... | ...... |
Fill in the blanks in the table.
| Principal | Rate of interest (p.c.p.a.) | Time | Interest | Amount |
| 8000 | 5% | ...... | 800 | ...... |
Fill in the blanks in the table.
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| ....... | `2 1/2%` | 5 years | 2400 | ...... |
