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प्रश्न
Suresh has a recurring deposit account in a bank. He deposits ₹ 2000 per month and the bank pays interest at the rate of 8% per annum. If he gets ₹ 1040 as interest at the time of maturity, find in years total time for which the account was held.
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उत्तर
Deposit per month P = ₹ 2000
Rate of interest R = 8%
Interest earned, I = ₹ 1040
Let n months be the length of time for which money is invested.
Then, by formula
I = `(P xx n(n + 1))/(2 xx 12) xx r/100`
1040 = `2000 xx (n(n + 1))/(2 xx 12) xx 8/100`
1040 = `(20 xx n xx (n + 1))/3`
52 × 3 = n2 + n
n2 + n – 156 = 0
n2 + 13n – 12n – 156 = 0
n(n + 13) – 12(n + 13) = 0
(n – 12)(n + 13) = 0
n = 12 ...(∵ n = –13, is not possible)
As a result, the time period for which money is invested is 12 months or 1 year.
संबंधित प्रश्न
Pramod deposits Rs. 600 per month in a Recurring Deposit Account for 4 years. If the rate of interest is 8% per year; calculate the maturity value of his account.
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| Date | Particulars | Amount Withdrawn (Dr) Rs P | Amount Deposits (Cr) Rs. P | Balance Rs. P |
| Feb 13 | By Cash | 500.00 | 500.00 | |
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| May 10 | To cheque | 240.00 | 2.035.00 | |
| May 22 | To cash | 430.00 | 1,605.00 | |
| June 19 | By cash | 780.00 | 2,385.00 | |
| July 26 | To cash | 980.00 | 1,405.00 |
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| Date | Particulars | Withdrawals(₹) | Deposits(₹) | Balance(₹) |
| Feb. 3, 1981 | By cash | - | 500·00 | 500·00 |
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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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| Date | Particulars | Withdrawals(₹) | Deposits(₹) | Balance(₹) |
| Feb. 1 | By cash | - | 50·00 | 50·00 |
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| March 1 | By salary | - | 1,000·00 | 2,050·00 |
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| March 21 | To cheque no. 213 | 700·00 | - | 850·00 |
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| Apr. 11 | By interest | - | - | - |
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Deposits (in ₹) |
Balance (in ₹) |
| January 1st, 2006 | B/F | - | - | 1,270 |
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| October 27th, 2006 | To Self | 2,690 | - | 2,690 |
| November 3rd, 2006 | By Cash | - | 1,500 | 4,190 |
| December 6th, 2006 | To Cheque | 950 | - | 3,240 |
| December 23rd, 2006 | By Transfer | - | 2,920 | 6,160 |
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