Advertisements
Advertisements
प्रश्न
Rajiv Bhardwaj has a recurring deposit account in a bank of Rs 600 per month. If the bank pays simple interest of 7% p.a. and he gets Rs 15450 as maturity amount, find the total time for which the account was held.
उत्तर
Deposit during the month (P) = Rs 600
Rate of interest = 7% p.a.
Amount of maturity = Rs 15450
Let time = n months
∴ Total principal
= `("P"("n")("n" + 1))/(2)`
= `(600 xx "n"("n" + 1))/(2)`
= `(600("n"^2 + "n"))/(2)`
= 300(n2 + n)
∴ Interest
= `"PRT"/(100)`
= `(300("n"^2 + "n") xx 7 xx 1)/(100 xx 12)`
= `(7)/(4)("n"^2 + "n")`
∴ `600"n" + (7)/(4)("n"^2 + "n")` = 15450
⇒ 2400n + 7n2 + 7n = 61800
⇒ 7n2 + 2407n - 61800 = 0
⇒ 7n2 - 168n + 2575n - 61800 = 0
⇒ 7n(n - 24) + 2575(n - 24) = 0
⇒ (n - 24) (7n + 2575) = 0
Either n - 24 = 0, then n = 24
or
7n + 2575 = 0, then
7n = -2575
⇒ n = `(-2575)/(7)`
Which is not possible being negative.
∴ n = 24
∴ Period = 24 months or 2 years.
APPEARS IN
संबंधित 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.
Peter has a recurring deposit account in Punjab National Bank at Sadar Bazar, Delhi for 4 years at 10% p.a. He will get Rs 6,370 as interest on maturity. Find
1) monthly installment
2) the maturity value of the account.
A page from a passbook of savings bank account is given below:
| Date | Particulars | Amount Withdrawn (In Rs) |
Amount Deposits (In Rs) |
Balance (In Rs) |
| 09.08.1999 11.08.1999 05.10.1999 10.10.1999 27.11.1999 29.11.1999 |
By Cash By Cheque To Cheque By Cash By Cheque By Cash |
- - 12,000 - 5,000 - |
10,000 5,000 - 17,000 - 3,000 |
10,000 15,000 3,000 20,000 15,000 18,000 |
The account is closed on 2nd Jan, 2000. Find the amount received, if the rate of interest is 5%
A man opened a savings bank account with a bank on 22nd Feb., 1998 and deposited Rs. 300. He further deposited Rs. 1,500 on 5th march 1998 and withdrew Rs. 500 on 12th April 1998. Assuming that he neither deposited not withdrew any money up to the last day of May 1998; write the amounts on which he would receive interest for:
(i) Feb., 1998 (ii) March, 98 (iii) April, 98 (iv) May, 98
The entires in a savings bank passbook are as given below:
| Date | Particulars | Particulars Withdrawals (In Rs) |
Deposits (In Rs) | Balance (In Rs) |
| 01.01.03 01.02.03 12.02.03 05.04.03 15.04.03 09.05.03 04.06.03 |
B/F By cash To cheque By Cash To cheque By cash By Cash |
5,000.00 4,250.00 |
11,500.00
1,500 1,500 |
14,000.00 25.500.00 20,500.00 24,250.00 20,000.00 21,500.00 23,000.00 |
Calculate the interest for six months (January to June) at 4% per annum on the minimum balance on or after the tenth day of each month
Mrs. Swami had a savings bank account with the state bank of India, from `13^"th"` Feb 09 to 6th August 09. The following table shows the entries in her passbook for the above said periods. Calculate the interest earned by Mrs. Swami on her S.B. Account up to `31^"st"` July 09 at the rate of 5% per annum.
| Date | Particulars | Amount Withdrawn (Dr) Rs P | Amount Deposits (Cr) Rs. P | Balance Rs. P |
| Feb 13 | By Cash | 500.00 | 500.00 | |
| March 3 | By cheque | 735.00 | 1,235.00 | |
| March 14 | By cheque | 1,040.00 | 2,275.00 | |
| May 10 | To cheque | 240.00 | 2.035.00 | |
| May 22 | To cash | 430.00 | 1,605.00 | |
| June 19 | By cash | 780.00 | 2,385.00 | |
| July 26 | To cash | 980.00 | 1,405.00 |
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. Ashok has an account in the Central Bank of India. The following entries are from his passbook:
| Date | Particulars | Withdrawals (₹) |
Deposits (₹) |
Balance (₹) |
| 01-01-05 | B/F | - | - | 1,200·00 |
| 07-01-05 | By cash | 500·00 | 1,700·00 | |
| 17-01-05 | To cheque | 400·00 | - | 1,300·00 |
| 10-02-05 | By cash | - | 800·00 | 2,100·00 |
| 25-09-05 | By cheque | 500·00 | - | 1,600·00 |
| 20-09-05 | By cash | - | 700·00 | 2,300·00 |
| 21-11-05 | To cheque | 600·00 | - | 1,700·00 |
| 05-12-05 | By cash | - | 300·00 | 2,000·00 |
If Mr. Ashok gets Rs. 83.75 as interest at the end of the year where the interest is compounded annually, calculate the rate of interest paid by the bank in his Savings Bank Account on 31st December 2005.
Shahrukh opened a Recurring Deposit Account in a bank and deposited Rs. 800 per month for `1 1/2` years. If he received Rs. 15,084 at the time of maturity, find the rate of interest per annum.
Mr. Chaturvedi has a recurring deposit account in Grindlay’s Bank for `4(1)/(2)` years at 11% p.a. (simple interest). If he gets Rs 101418.75 at the time of maturity, find the monthly installment.
