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Question
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.
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Solution
Installment per month (P) = Rs. 350
Number of months (n) = 15
Let rate of interest (r) = r% p.a.
∴ `S.I. = P xx (n(n + 1))/(2 xx 12) xx r/100`
= `350 xx (15(15 + 1))/(2 xx 12) xx r/100`
= `350 xx 240/24 xx r/100`
= Rs. (35)r
Maturity value = Rs. (350 × 15) + Rs. (35)r
Given maturity value = Rs. 5,565
Then Rs. (350 × 15) + Rs. (35)r = Rs. 5,565
`=>` 35r = Rs. 5,565 – Rs. 5,250
`=>` r = `315/35` = 9%
RELATED QUESTIONS
Mohan has a recurring deposit account in a bank for 2 years at 6% p.a. simple interest. If he gets Rs. 1200 as interest at the time of maturity, find:
- the monthly instalment.
- the amount of maturity.
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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.
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.
Each of A and B both opened a recurring deposit accounts in a bank. If A deposited Rs. 1,200 per month for 3 years and B deposited Rs. 1,500 per month for 2 ½ years; find, on maturity, who will get more amount and by how much? The rate of interest paid by the bank is 10% per annum.
Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits Rs. 140 per month for 4 years. If he gets Rs. 8,092 on maturity, find the rate of interest given by the bank.
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?
Shrikant deposited 85,000 rupees for `2 1/2` years at 7 p.c.p.a. in a savings bank account. What is the total interest he received at the end of the period?
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 |
