Advertisements
Advertisements
प्रश्न
The maturity value of an R.D. Account is Rs. 16,176. If the monthly instalment is Rs. 400 and the rate of interest is 8%; find the time (period) of this R.D Account.
उत्तर
Installment per month (P) = Rs. 400
Number of months (n) = n
Let rate of interest (r) = 8% p.a.
∴ `S.I. = P xx (n(n + 1))/(2 xx 12) xx r/100`
= `400 xx (n(n + 1))/24 xx 8/100`
= Rs. `(4n(n + 1))/3`
Maturity value = Rs. (400 × n) + Rs. `(4n(n + 1))/3`
Given maturity value = Rs. 16,176
Then Rs. (400 × n) + Rs. `(4n(n + 1))/3` = Rs. 16,176
⇒ 1200n + 4n2 + 4n = Rs. 48,528
⇒ 4n2 + 1204n = Rs. 48,528
⇒ n2 + 301n – 12132 = 0
⇒ (n + 337)(n – 36) = 0
⇒ n = –337 or n = 36
Then number of months = 36 months = 3 years
APPEARS IN
संबंधित प्रश्न
Priyanka has a recurring deposit account of Rs. 1000 per month at 10% per annum. If she gets Rs. 5550 as interest at the time of maturity, find the total time for which the account was held.
Pramod deposits Rs. 600 per month in a Recurring Deposit Account for 4 years. If the rate of interest is 8% per year; calculate the maturity value of his account.
Deepa has a 4-year recurring deposit account in a bank and deposits Rs 1,800 per month. If she gets Rs 1,08,450 at the time of maturity, find the rate of interest.
Mr. Verma opened a savings bank account with the state bank of India on 5th April 2007 with Rs. 8,500. For the financial year 2007-2008, the other transactions with the bank are given below:
(i) 15-05.2007; deposited Rs. 3,700
(ii) 27-07-2007; withdrew Rs. 2,400
(iii) 06-09-2007; withdrew Rs. 1,600
(iv) 18-12-2007; deposited Rs. 4,500
(v) 29-01-2008; Deposited Rs. 1,900
(vi) 23-03-2008; account closed.
Taking the rate of interest as 6% per annum, find the amount that Mr. Verma gets on closing the account.
Mr. Patel deposit Rs 2,250 per month in a recurring deposit account for a period of 3 years. At the time of maturity, he gets Rs 90,990.
(a) Find the rate of simple interest per annum.
(b) Find the total interest earned by Mr. Patel.
Using R.D., table calculate the values of a R.D., account of Rs. 80 for period of 9 months @ 11.5% p. a.
Kiran deposited 200 per month for 36 months in a bank’s recurring deposit account. If the bank pays interest at the rate of 11% per annum, find the amount she gets on maturity.
A page from the saving bank account of Priyanka is given below:
| Date | Particulars | Amount withdrawn(₹) |
Amount deposited (₹) |
Balance (₹) |
| 3/4/2006 | B/F | - | - | 4,000·00 |
| 5/4/2006 | By Cash | - | 2,000·00 | 6,000·00 |
| 18/4/2006 | By cheque | - | 6,000·00 | 12,000·00 |
| 25/5/2006 | To cheque | 5,000·00 | - | 7,000·00 |
| 30/5/2006 | By cash | - | 3,000·00 | 10,000·00 |
| 20/7/2006 | By self | 4,000·00 | - | 6,000·00 |
| 10/9/2006 | By cash | - | 2,000·00 | 8,000·00 |
| 19/9/2006 | To cheque | 1,000·00 | - | 7,000·00 |
If the interest earned by Priyanka for the period ending September 2006 is Rs. 175, find the rate of interest.
Mrs. Goswami deposits Rs. 1000 every month in a recurring deposit account for 3 years at 8% interest per annum. Find the matured value. (2009)
Mr. Dhruv deposits Rs 600 per month in a recurring deposit account for 5 years at the rate of 10% per annum (simple interest). Find the amount he will receive at the time of maturity.
