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Question
Mrs. Mathew opened a Recurring Deposit Account in a certain bank and deposited ₹ 640 per month for 4 ½ years. Find the maturity value of this account, if the bank pays interest at the rate of 12% per year.
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Solution
Installment per month (P) = Rs. 640
Number of months (n) = 54
Rate of interest (r) = 12% p.a.
∴ `S.I. = P xx (n(n + 1))/(2 xx 12) xx r/100`
= `640 xx (54(54 + 1))/(2xx 12) xx 12/100`
= `640 xx 2970/24 xx 12/100`
= Rs. 9,504
The amount that Manish will get at the time of maturity
= Rs. (640 × 54) + Rs. 9,504
= Rs. 34,560 + Rs. 9,504
= Rs. 44,064
RELATED QUESTIONS
A page from the savings bank account of Mrs Ravi is given below.
| Date | Particulars | Withdrawal (Rs.) |
Deposit (Rs.) | Balance (Rs.) |
| April 3rd 2006 | B/F | 6000 | ||
| April 7th | By cash | 2300 | 8300 | |
| April 15th | By cheque | 3500 | 11800 | |
| May 20th | To self | 4200 | 7600 | |
| June 10th | By cash | 5800 | 13400 | |
| June 15th | To self | 3100 | 10300 | |
| August 13th | By cheque | 1000 | 11300 | |
| August 25th | To self | 7400 | 3900 | |
| September 6th 2006 |
By cash | 2000 | 5900 |
She closed the account on 30th September 2006. Calculate the interest Mrs Ravi earned
at the end of 30th September 2006 at 4.5% per annum interest. Hence, find the
amount she receives on closing the account.
Shahrukh opened a ‘Recurring Deposit’ account in a bank and deposited Rs. 800 per month for 1½ years. If he received Rs. 15,084 at the time of maturity, find the rate of interest per annum.
A page from the ‘Savings Bank’ account of Priyanka is given below:
| Date | Particulars |
Amount (Rs.) |
Amount deposited (Rs.) |
Balance (Rs.) |
| 03/04/2006 | B/F | 4000.00 | ||
| 05/04/2006 | By cash | 2000.00 | 6000.00 | |
| 18/04/2006 | By cheque | 6000.00 | 12000.00 | |
| 25/05/2006 | By cheque | 5000.00 | 7000.00 | |
| 30/05/2006 | By cash | 3000.00 | 10000.00 | |
| 20/07/2006 | By self | 4000.00 | 6000.00 | |
| 10/09/2006 | By cash | 2000.00 | 8000.00 | |
| 19/09/2006 | To cheque | 1000.00 | 7000.00 |
If the interest earned by Priyanka for the period ending September 2006 is Rs. 175, the find the rate of interest.
A man has a Recurring Deposit Account in a bank for `3 1/2` years. If the rate of interest is 12% per annum and the man gets Rs. 10,206 on maturity, find the value of monthly instalments.
Jethalal took a housing loan of 2,50,000 rupees from a bank at 10 p.c.p.a. for 5 years. What is the yearly interest he must pay and the total amount he returns to the bank?
At a certain rate of interest, the interest after 4 years on 5000 rupees principal is 1200 rupees. What would be the interest of 15000 rupees at the same rate of interest for the same period?
Javed deposited 12000 rupees at 9 p.c.p.a. in a bank for some years, and withdrew his interest every year. At the end of the period, he had received altogether 17,400 rupees. For how many years had he deposited his money?
Fill in the blanks in the table.
| Principal | Rate of interest (p.c.p.a.) | Time | Interest | Amount |
| 4200 | 7% | 3 years | ...... | ...... |
Fill in the blanks in the table.
| Principal | Rate of interest (p.c.p.a.) | Time | Interest | Amount |
| ...... | 6% | 4 years | 1200 | ...... |
Fill in the blanks in the table.
| Principal | Rate of interest (p.c.p.a.) | Time | Interest | Amount |
| ....... | `2 1/2%` | 5 years | 2400 | ...... |
