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प्रश्न
Mr. Britto deposits a certain sum of money each month in a Recurring Deposit Account of a bank. It the rate of interest is of 8% per annum and Mr. Britto gets Rs. 8,088 from the bank after 3 years, find the value of his monthly instalment.
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उत्तर
Let the value of monthly instalment be Rs. x
Maturity value (M.V.) = Rs. 8,088
Period = n = 3 years = 36 months
Rate of interest = r = 8% p.a.
∴ `S.I. = P xx (n(n+1))/(2xx12) xx r/100`
= `x xx (36 xx 37)/24 xx 8/100`
= `444/100x`
= 4.44x
Total amount of maturity = 36x + 4.44x
`\implies` 8088 = 40.44x
`\implies` x = 200
Thus, the value of monthly instalment is Rs. 200.
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| Date | Particulars | Amount Withdrawn (In Rs) |
Amount Deposits (In Rs) |
Balance (In Rs) |
| Jan 1, 2000 Jan, 8 Feb 18 May 19 July 15 Oct 7 |
By Balance By cash To Cheque By Cash To self By cash |
- - 10,500 - 2,400 - |
- 6,000 - 6,300 - 3,600 |
9,600 15,600 5,100 11,400 9,000 12,600 |
On October 30, 2000 John received his transfer order and closed the account. If the amount of interest he received on closing the account on 30th, Oct 2000 is Rs. 310; calculate the rate of interest per annum.
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| April 1 | By Balance | 4,600.00 | ||
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| 08.02.2008 | By Cash | 12000.00 | ||
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