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प्रश्न
A certain money is deposited in a recurring deposit account for 15 months. If the interest earned for this deposit is one-fifth of the monthly instalment; the rate of interest is ______.
विकल्प
6%
2%
10%
4%
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उत्तर
A certain money is deposited in a recurring deposit account for 15 months. If the interest earned for this deposit is one-fifth of the monthly instalment; the rate of interest is 2%.
Explanation:
P = ₹ x,
n = 15 months,
I = `1/5 xx x`
∴ `I = P xx (n(n + 1))/(2 xx 12) xx R/100`
`\implies x/5 = x xx (15 xx 16)/(2 xx 12) xx R/100`
`\implies` R = `x/5 xx (2 xx 12)/(15 xx 16) xx 100/x`
∴ R = 2%
संबंधित प्रश्न
David opened a Recurring Deposit Account in a bank and deposited Rs. 300 per month for two years. If he received Rs. 7,725 at the time of maturity, find the rate of interest per annum.
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.
Manu opened a savings bank account in the state bank of India on 3rd sept, 12 with Rs. 2,700. He withdrew Rs. 1,200 from the bank on 8th sept, 12 and deposited Rs. 500 on 17th sept, 12. If he did not make any further deposits or withdrawals during this month; find the amount on which he would receive interest for sept, 12.
Mr. Verma opened a savings bank account with the state bank of India on 5th April 2007 with Rs. 8,500. For the financial year 2007-2008, the other transactions with the bank are given below:
(i) 15-05.2007; deposited Rs. 3,700
(ii) 27-07-2007; withdrew Rs. 2,400
(iii) 06-09-2007; withdrew Rs. 1,600
(iv) 18-12-2007; deposited Rs. 4,500
(v) 29-01-2008; Deposited Rs. 1,900
(vi) 23-03-2008; account closed.
Taking the rate of interest as 6% per annum, find the amount that Mr. Verma gets on closing the account.
Mr. Richard has a recurring deposit account in a post office for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8,325 as interest at the time of maturity, find:
- the monthly instalment.
- the amount of maturity.
A page from the passbook of Mrs. Rama Bhalla is given below:
Calculate the interest due to Mrs. Bhalla for the period from January 2004 to December 2004, at the rate of 5% per annum.
| Date Year 2004 |
Particulars | Amount (₹) Withdrawals |
Amount (₹)Deposits |
Balance (₹) |
| January 1 | B/F | - | - | 2,000.00 |
| January 9 | By cash | - | 200.00 | 2,200.00 |
| February 10 | To cheque | 500.00 | - | 1,700.00 |
| February 24 | By cheque | - | 300.00 | 2,000.00 |
| July 29 | To cheque | 200.00 | - | 1,800.00 |
| November 7 | By cash | - | 300.00 | 2,100.00 |
| December 8 | By cash | - | 200.00 | 2,300.00 |
Mr. Mishra has a Savings Bank Account in Allahabad Bank. His passbook entries are as follows:
| Date | Particulars | Amount Withdrawals(₹) |
Amount Deposits(₹) | Amount Balance(₹) |
| Jan. 4, 2007 | By Cash | - | 1,000·00 | 1,000·00 |
| Jan. 11, 2007 | By Cheque | - | 3,000·00 | 4,000·00 |
| Feb. 3, 2007 | By Cash | - | 2,500·00 | 6,500·00 |
| Feb. 7, 2007 | To Cheque | 2,000·00 | - | 4,500·00 |
| March 3, 2007 | By Cash | - | 5,000·00 | 9,500·00 |
| May 25, 2007 | By Cash | - | 2,000·00 | 11,500·000 |
| June 7, 2007 | By Cash | - | 3,500·00 | 15,000·00 |
| Aug 29, 2007 | To Cheque | 1,000·00 | - | 14,000·00 |
Rate of interest paid by the bank is 4.5% per annum. Mr. Mishra closes his account on 30th October, 2007. Find the interest he receives.
Given the following details, calculate the simple interest at the rate of 6% per annum up to June, 30:
| Date | Debit (in ₹) | Credit (in ₹) | Balance (in ₹) |
| 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 |
| May 6 | 3,040·00 | - | 41,613·00 |
| May 8 | - | 5,087·00 | 46,700·00 |
₹ 900 is deposited every month in a recurring deposit account at 10% rate of interest, the interest earned in 8 months is ______.
₹ 800 per month is deposited in an R.D. account for one and half years. If the depositor gets ₹ 2,280 as interest at the time of maturity, the rate of interest is ______.
