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Question
Rekha opened a recurring deposit account for 20 months. The rate of interest is 9% per annum and Rekha receives Rs. 441 as interest at the time of maturity. Find the amount Rekha deposited each month.
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Solution
Let the monthly installment i.e P = Rs. x.
Since n = 20 months and r = 9%
∴ Interest `= P xx (n(n + 1))/(2 xx 12) xx r/100`
= `(x xx 20(21))/(2 xx 12) xx 9/100`
= `(x xx 20 xx 21)/(2 xx 12) xx 9/100`
= `(x xx 5 xx 7 xx 9)/(2 xx 100)`
Interest = 1.575 × P
Interest = 441 {Given}
⇒ 1.575x = 441
⇒ x = 280 Rs.
RELATED QUESTIONS
Mr Choudhury opened a Saving Bank Account at State Bank of India on 1st April 2007. The entries of one year as shown in his passbook are given below.
| Date | Particulars | Withdrawals (in Rs.) | Deposits (in Rs.) | Balance (in Rs.) |
| Ist April 2007 | By Cash | - | 8550.00 | 8550.00 |
| 12th- April 2007 | To Self | 1200.00 | -- | 7350.00 |
| 24th April 2007 | By Cash | - | 4550.00 | 11900.00 |
| 8th July 2007 | By Cheque | - | 1500.00 | 13400.00 |
| 10th Sept. 2007 | By Cheque | - | 3500.00 | 16900.00 |
| 17th Sept. 2007 | By Cheque | 2500.00 | - | 14400.00 |
| 11th Oct. 2007 | By Cash | - | 800.00 | 15200.00 |
| 6th Jan. 2008 | To Self | 2000.00 | - | 13200.00 |
| 9th March 2008 | By Cheque | - | 950.00 | 14150.00 |
If the bank pays interest at the rate of 5% per annum, find the interest paid on 1st April 2008. Give your answer correct to the nearest rupee.
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