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प्रश्न
Gopal has a cumulative deposit account and deposits Rs. 900 per month for a period of 4 years he gets Rs. 52,020 at the time of maturity, find the rate of interest.
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उत्तर
Installment per month (P) = Rs. 900
Number of months (n) = 48
Let rate of interest (r) = r% p.a.
∴ `S.I. = P xx (n(n + 1))/(2 xx 12) xx r/100`
= `900 xx (48(48 + 1))/(2xx 12) xx r/100`
= `900 xx 2352/24 xx r/100`
= Rs. (882)r
Maturity value = Rs. (900 × 48) + Rs. (882)r
Given maturity value = Rs. 52,020
Then Rs. (900 × 48) + Rs. (882)r = Rs. 52,020
`\implies` 882r = Rs. 52,020 – Rs. 43,200
`\implies` r = `8820/882` = 10%
संबंधित प्रश्न
Priyanka has a recurring deposit account of Rs. 1000 per month at 10% per annum. If she gets Rs. 5550 as interest at the time of maturity, find the total time for which the account was held.
Mrs Kapoor opened a Savings Bank Account in State Bank of India on 9th January 2008. Her pass book entries for the year 2008 are given below:
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| Jan 9, 2008 | By Cash | - | 10000 | 10000 |
| Feb 12, 2008 | By Cash | - | 15500 | 25500 |
| April 6, 2008 | To Cheque | 3500 | - | 22000 |
| April 30, 2008 | To Self | 2000 | - | 20000 |
| July 16, 2008 | By Cheque | - | 6500 | 26500 |
| August 4, 2008 | To Self | 5500 | - | 21000 |
| August 20, 2008 | To Cheque | 1200 | - | 19800 |
| Dec. 12, 2008 | By Cash | - | 1700 | 21500 |
Mrs Kapoor closes the account on 31st December 2008. If the bank pays interest at 4% per annum, find the interest Mrs Kapoor receives on closing the account. Give your answer correct to the nearest rupee.
Ritu has a Recurring Deposit Account in a bank and deposits Rs. 80 per month for 18 months. Find the rate of interest paid by the bank if the maturity value of the account is Rs. 1,554.
Given below is a page from the passbook of a saving bank account of Dolly Majumdar. Complete the entries in the passbook and find the interest earned by the account holder in the month of November if the rate of simple interest is 5°/o pa.
| Date | Particular | Withdrawals | Deposits | Balance |
| 01.04.2007 | By B/F | 16500.00 | ||
| 15.04.2007 | By Cash | 2500.00 | ||
| 09.06.2007 | To Cheque | 6500.00 | ||
| 04.07.2007 | By Cash | 9000.00 | ||
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| 05.09.2007 | To Cash | 4000.00 | ||
| 10.11.2007 | By Cheque | 12000.00 |
Mr. Punjwanis saving account passbook had the following entries, The bank pays interest at 4.5°/o on all SB accounts. Find the amount received by Mr. Punjwani when he closed the acoount on 2S'h July 08.
| Date | Particulars | Withdrawls | Deposits | Balance |
| 05.01.2008 | By B/F | 24650.00 | ||
| 09.01.2008 | By cash | 14390.00 | 39040.00 | |
| 15.02.2008 | To Cheque | 7600.00 | 31440.00 | |
| 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 | ||
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| 11.07.2008 | To Cheque | 9460.00 | c |
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| Date Year 2004 |
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Amount (₹)Deposits |
Balance (₹) |
| January 1 | B/F | - | - | 2,000.00 |
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| February 10 | To cheque | 500.00 | - | 1,700.00 |
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| January 1 | - | 24,000·00 | 24,000·00 |
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₹ 900 is deposited every month in a recurring deposit account at 10% rate of interest, the interest earned in 8 months is ______.
