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प्रश्न
Deepa has a 4-year recurring deposit account in a bank and deposits Rs 1,800 per month. If she gets Rs 1,08,450 at the time of maturity, find the rate of interest.
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उत्तर
Installment per month (P) = Rs. 1,800
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`
= `1800 xx (48(48 + 1))/(2 xx 12) xx r/100`
= `1800 xx 2352/24 xx r/100`
= Rs. (1,764)r
Maturity value = Rs. (1,800 × 48) + Rs. (1,764)r
Given maturity value = Rs. 1,08,450
Then Rs. (1,800 × 48) + Rs. (1764)r = Rs. 1,08,450
`\implies` 1764r = Rs. 1,08,450 – Rs. 86,400
`\implies` r = `22050/1764` = 12.5%
संबंधित प्रश्न
Kiran deposited Rs. 200 per month for 36 months in a bank’s recurring deposit account. If the bank pays interest at the rate of 11% per annum, find the amount she gets on maturity.
A page from the passbook of Mr. Rohit is given below. The interest accrued for the period January to December 2006 at a certain rate of interest per annum is Rs. 377.40. without taking the principal as the nearest multiple of Rs. 10, calculate the rate:
| Date | Particulars | Debit (Rs) | Credit (Rs) | Balance (Rs) |
| 2006 | ||||
| Jan 1 | Balance B/F | 7,500.00 | ||
| March 7 | By Cheque | 1,875.00 | ||
| March 10 | By Cash | 625.00 | ||
| July 17 | To self | 3,250.00 | ||
| Oct 5 | By Cheque | 2,160.00 | ||
| Dec 19 | To Cheque | 1,340.00 |
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 |
Mrs Khandelkar invests Rs 900 every month in a recurring deposit account for a period of 3 years at a simple interest rate of 8% pa
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| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| 1st April 2007 | By Cash | - | 8,550·00 | 8,550·00 |
| 12th April 2007 | To Self | 1,200·00 | - | 7,350·00 |
| 24th April 2007 | By cash | - | 4,550·00 | 11,900·00 |
| 8th July 2007 | By Cheque | - | 1,550·00 | 13,400·00 |
| 10th Sept. 2007 | By Cheque | - | 3,500·00 | 16,900·00 |
| 17th Sept. 2007 | To Cheque | 2,500·00 | - | 14,400·00 |
| 11th Oct. 2007 | By Cash | - | 800·00 | 15,200·00 |
| 6th Jan. 2008 | To Self | 2,000·00 | - | 13,200·00 |
| 9th March 2008 | By Cheque | - | 950·00 | 14,150·00 |
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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 |
| March 15 | - | 8,000·00 | 37,000·00 |
| April 3 | - | 7,653·00 | 44,653·00 |
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| May 8 | - | 5,087·00 | 46,700·00 |
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