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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.
Sonia had a recurring deposit account in a bank and deposited Rs. 600 per month for 2 1/2 years. If the rate of interest was 10% p.a., find the maturity value of this account.
Mrs. Geeta deposited Rs. 350 per month in a bank for 1 year and 3 months under the Recurring Deposit Scheme. If the maturity value of her deposits is Rs. 5,565; find the rate of interest per annum.
Ms. Chitra opened a saving bank account with SBI on 05.04.2007 with a cheque deposit of Rs 11,000/.Subsequently, she took out Rs 3,200/- on 12.05.2007; deposited a cheque of Rs. 8,800/- on 03.06.2007 and paid Rs 2,000/- by cheque on 18.06.2007.
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If Rihanna deposits 1500 rupees in the school fund at 9 p.c.p.a for 2 years, what is the total amount she will get?
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?
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If the interest on 3000 rupees is 600 rupees at a certain rate for a certain number of years, what would the interest be on 1500 rupees under the same conditions?
Fill in the blanks in the table.
| Principal | Rate of interest (p.c.p.a.) | Time | Interest | Amount |
| ...... | 5% | ...... | 6000 | 18000 |
Fill in the blanks in the table.
| Principal | Rate of interest (p.c.p.a.) | Time | Interest | Amount |
| ....... | `2 1/2%` | 5 years | 2400 | ...... |
