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प्रश्न
A certain money is deposited every month for 8 months in a recurring deposit account at 12% p.a. simple interest. If the interest at the time of maturity is ₹ 36, the monthly instalment is ______.
पर्याय
₹ 200
₹ 1,000
₹ 100
₹ 500
उत्तर
A certain money is deposited every month for 8 months in a recurring deposit account at 12% p.a. simple interest. If the interest at the time of maturity is ₹ 36, the monthly instalment is ₹ 100.
Explanation:
P = ₹ x,
n = 8 months,
R = 12%,
I = 36
We know that
`I = P xx (n(n + 1))/(2 xx 12) xx R/100`
`\implies 36 = x xx (8 xx 9)/(2 xx 12) xx 12/100`
`\implies x = 36 xx (2 xx 12)/(8 xx 9) xx 100/12`
= ₹ 100
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.
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:
| Date | Particulars | Withdrawals (in Rs.) | Deposits (in Rs.) | Balance (in Rs.) |
| 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 |
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A page from a passbook of savings bank account is given below:
| Date | Particulars | Amount Withdrawn (In Rs) |
Amount Deposits (In Rs) |
Balance (In Rs) |
| 09.08.1999 11.08.1999 05.10.1999 10.10.1999 27.11.1999 29.11.1999 |
By Cash By Cheque To Cheque By Cash By Cheque By Cash |
- - 12,000 - 5,000 - |
10,000 5,000 - 17,000 - 3,000 |
10,000 15,000 3,000 20,000 15,000 18,000 |
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| Date | Particulars | Debit (In Rs) | Credit (In Rs) | Balance (In Rs) |
| 3.7.12 | By cash | 690.00 | ||
| 15.7.12 | By cash | 1,153.00 | ||
| 27.8.12 | By Cheque | 2,468.00 | ||
| 30.8.12 | To cash | 946.00 | ||
| 12.9.12 | To Cheque | 1,000.00 | ||
| 20.11.12 | By Cheque | 3,000.00 | ||
| 26.11.12 | By cash | 750.00 | ||
| 28.11.12 | To Cash | 1,570.00 |
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(ii) Also, calculate the interest when the principal for every month is taken as the nearest multiple of 10.
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(a) Find the rate of simple interest per annum.
(b) Find the total interest earned by Mr. Patel.
Amit deposited Rs. 150 per month in a bank for 8 months under the Recurring Deposit Scheme. What will be the maturity value of his deposits, if the rate of interest is 8% per annum and interest is calculated at the end of every month?
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| Date | Particulars | Withdrawals (₹) |
Deposits (₹) |
Balance (₹) |
| 01-01-05 | B/F | - | - | 1,200·00 |
| 07-01-05 | By cash | 500·00 | 1,700·00 | |
| 17-01-05 | To cheque | 400·00 | - | 1,300·00 |
| 10-02-05 | By cash | - | 800·00 | 2,100·00 |
| 25-09-05 | By cheque | 500·00 | - | 1,600·00 |
| 20-09-05 | By cash | - | 700·00 | 2,300·00 |
| 21-11-05 | To cheque | 600·00 | - | 1,700·00 |
| 05-12-05 | By cash | - | 300·00 | 2,000·00 |
If Mr. Ashok gets Rs. 83.75 as interest at the end of the year where the interest is compounded annually, calculate the rate of interest paid by the bank in his Savings Bank Account on 31st December 2005.
Mrs. Goswami deposits Rs. 1000 every month in a recurring deposit account for 3 years at 8% interest per annum. Find the matured value. (2009)
₹ 900 is deposited every month in a recurring deposit account at 10% rate of interest, the interest earned in 8 months is ______.
