Advertisements
Advertisements
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.
Advertisements
उत्तर
Amount of recurring deposit per month = Rs. 1000
Rate of interest = 10 % p.a
let period = n months
Amount of interest = 5550 .....(1)
Total principal for one month = `(1000xxn(n+1))/2`
`"Interest" = (1000n(n+1))/2 xx 10/100 xx 1/12`
`= 25/6 n (n+1)` ......(2)
From (1) nd (2) , we get
`25/6n(n+1) = 5550`
`25n^2 + 25n = 33300`
`25n^2 + 25n - 33300 = 0`
`n^2 + n - 1332 = 0`
`n^2 + 37n - 36n - 1332 = 0`
`n(n+37) - 36(n+37) = 0`
(n - 36)(n + 37) = 0
n = 36
APPEARS IN
संबंधित प्रश्न
Mr Choudhury opened a Saving Bank Account at State Bank of India on 1st April 2007. The entries of one year as shown in his passbook are given below.
| Date | Particulars | Withdrawals (in Rs.) | Deposits (in Rs.) | Balance (in Rs.) |
| Ist April 2007 | By Cash | - | 8550.00 | 8550.00 |
| 12th- April 2007 | To Self | 1200.00 | -- | 7350.00 |
| 24th April 2007 | By Cash | - | 4550.00 | 11900.00 |
| 8th July 2007 | By Cheque | - | 1500.00 | 13400.00 |
| 10th Sept. 2007 | By Cheque | - | 3500.00 | 16900.00 |
| 17th Sept. 2007 | By Cheque | 2500.00 | - | 14400.00 |
| 11th Oct. 2007 | By Cash | - | 800.00 | 15200.00 |
| 6th Jan. 2008 | To Self | 2000.00 | - | 13200.00 |
| 9th March 2008 | By Cheque | - | 950.00 | 14150.00 |
If the bank pays interest at the rate of 5% per annum, find the interest paid on 1st April 2008. Give your answer correct to the nearest rupee.
A page from the passbook of Mrs. Rama Bhalla is given below:
| Date | Particulars | Withdrawals (In Rs) | Deposits (In Rs) | Balance (In Rs) |
| January 1 | B/F | 2,000.00 | ||
| January 9 | By Cash | 200.00 | 2,200.00 | |
| February 10 | To Cheque | 500.00 | 1,700.00 | |
| February 24 | By Cheque | 300.00 | 2,000.00 | |
| July 29 | To Cheque | 200.00 | 1,800.00 | |
| November 7 | By Cash | 300.00 | 2,100.00 | |
| December 8 | By Cash | 200.00 | 2,300.00 |
Calculate the interest to Mrs. Bhalla for the period from January 2004 to December 2004, at the rate of 5% per annum.
Given below is a page from the passbook of the savings bank account of Mr. Rajesh. Complete the entries in the passbook and calculate the interest paid to him by the bank at 6°/o pa in the end of June.
| Date | Particulars | Withdrawals | Deposits | Balance |
| 08.02.2008 | By Cash | 12000.00 | ||
| 15.03.2008 | To cash | 3000.00 | ||
| 08.04.2008 | To Cheque | 2500.00 | ||
| 18.04.2008 | By Cash | 16000.00 | ||
| 10.06.2008 | By Cash | 800.00 |
Ms. Saha opened a cumulative deposit account of monthly instalment of Rs 1,200 at 9%p.a simple interest. She earned a total interest of Rs 5,328. How much installments did she pay?
Suresh has joined a factory which pays wages by cheque only. He opens a S.B. account on Feb. 1, and his passbook has the following entries Upto 1st April of the year.
| Date | Particulars | Withdrawals(₹) | Deposits(₹) | Balance(₹) |
| Feb. 1 | By cash | - | 50·00 | 50·00 |
| Feb. 2 | By salary | - | 1,000·00 | 1,050·00 |
| Feb. 4 | To withdrawn slip | 200·00 | - | 850·00 |
| Feb. 15 | By overtime allowance | - | 300·00 | 1,150·00 |
| Feb. 24 | To Aslam | 100·00 | - | 1,050·00 |
| March 1 | By salary | - | 1,000·00 | 2,050·00 |
| March 7 | To cheque no. 212 | 500·00 | - | 1,550·00 |
| March 21 | To cheque no. 213 | 700·00 | - | 850·00 |
| March 27 | To self | 400·00 | - | 450·00 |
| Apr. 1 | By salary | - | 1,000·00 | 1,450·00 |
| Apr. 11 | By interest | - | - | - |
He closes the account on 11th April. Complete the entries for 11th April at the rate of 5%
A page from the Savings Bank Account of Mr. Prateek is given below:
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| January 1st, 2006 | B/F | - | - | 1,270 |
| January 7th, 2006 | By Cheque | - | 2,310 | 3,580 |
| March 9th, 2006 | To Self | 2,000 | - | 1,580 |
| March 26th, 2006 | By Cash | - | 6,200 | 7,780 |
| June 10th, 2006 | To Cheque | 4,500 | - | 3,280 |
| July 15th, 2006 | By Clearing | - | 2,630 | 5,910 |
| October 18th, 2006 | To Cheque | 530 | - | 5,380 |
| October 27th, 2006 | To Self | 2,690 | - | 2,690 |
| November 3rd, 2006 | By Cash | - | 1,500 | 4,190 |
| December 6th, 2006 | To Cheque | 950 | - | 3,240 |
| December 23rd, 2006 | By Transfer | - | 2,920 | 6,160 |
If he receives ₹198 as interest on 1st January 2007, find the rate of interest paid by the bank.
Shweta deposits Rs. 350 per month in a recurring deposit account for one year at the rate of 8% p.a. Find the amount she will receive at the time of maturity.
Naveen deposits ₹ 800 every month in a recurring deposit account for 6 months. If he receives ₹ 4884 at the time of maturity, then the interest he earns is ______.
Salman deposits ₹ 1000 every month in a recurring deposit account for 2 years. If he receives ₹ 26000 on maturity, find:
- the total interest Salman earns.
- the rate of interest.
Manish opened an R.D. account in a bank and deposited ₹ 1,000 per month at the interest of 10% per annum and for 2 years. The total money deposited by him is ______.
