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.
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
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.
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
A page of Passbook of Mrs. C. Malik Savings Bank Account in year 2002 is given below:
| Date Year 2002 | Particulars | Amount Withdrawn (in ₹) |
Amount Deposited (in ₹) |
Balance (in ₹) |
| Jan. 1 | By Balance | - | - | 2,100·00 |
| Jan. 7 | By Cash | - | 1,000·00 | 3,100·00 |
| Feb. 1 | By Cash | - | 500·00 | 3,600·00 |
| Feb. 15 | To Cheque | 2,000·00 | - | 1,600·00 |
| March 15 | By Cash | - | 2,000·00 | 3,600·00 |
| March 20 | To Cheque | 1,000·00 | - | 2,600·00 |
| June 12 | By Cash | - | 3,000·00 | 5,600·00 |
| June 28 | To Cheque | 1,000·00 | - | 4,600·00 |
| Oct. 15 | To Cheque | 3,000·00 | - | 4,600·00 |
| Nov. 5 | By Cash | - | 1,500·00 | 3,100·00 |
| Dec. 10 | By Cash | - | 500·00 | 3,600·00 |
| Dec. 20 | To Cheque | 1,000·00 | - | 2,600·00 |
If the rate of interest decreases from 5% to 4% with effect from June 1st, 2002, compute the interest at the end of the year.
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%
The entries in the passbook of a Saving Bank Account holder are as follows:
| Date | Particulars | Withdrawals(₹) | Deposits(₹) | Balance(₹) |
| Feb. 12, 1986 | By cash | - | 2,000·00 | 2,000·00 |
| March 10 | By cash | - | 1,100·00 | 3,100·00 |
| April 20 | To cheque no. 231 | 800·00 | - | 2,300·00 |
| April 25 | By cash | - | 700·00 | 3,000·00 |
| May 11 | To cheque no. 232 | 700·00 | - | 2,300·00 |
| July 2 | By cash | - | 400·00 | 2,700·00 |
| July 8 | By cash | - | 500·00 | 3,200·00 |
| Aug. 10 | By cash | - | 600·00 | 3,800·00 |
| Aug. 28 | To cheque no. 233 | 200·00 | - | 3,600·00 |
Rate of interest is 5% per annum. Calculate the interest due if the account is closed on:
(i) September 29, 1986
(ii) October 1, 1986.
Mrs. Kapoor opened a Savings Bank Account in State Bank of India on 9th January 2008. Her passbook entries for the year 2008 are given below:
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| Jan. 9, 2008 | By cash | - | 10,000 | 10,000 |
| Feb. 12, 2008 | By cash | - | 15,500 | 25,500 |
| April 6, 2008 | To Cheque | 3,500 | - | 22,000 |
| April 30, 2008 | To Self | 2,000 | - | 20,000 |
| July 16, 2008 | By Cheque | - | 6,500 | 26,500 |
| August 4, 2008 | To Self | 5,500 | - | 21,000 |
| August 20, 2008 | To Cheque | 1,200 | - | 19,800 |
| Dec. 12, 2008 | By Cash | - | 1,700 | 21,500 |
Mrs. Kapoor closes the account on 31st December, 2008. If the bank pays interest at 4% per annum, find the interest Mrs. Kapoor receives on closing the account. Give your answer correct to the nearest rupee.
Given the following details, calculate the simple interest at the rate of 6% per annum up to June, 30:
| Date | Debit (in ₹) | Credit (in ₹) | Balance (in ₹) |
| January 1 | - | 24,000·00 | 24,000·00 |
| January 20 | 5,000·00 | - | 19,000·00 |
| January 29 | - | 10,000·00 | 29,000·00 |
| March 15 | - | 8,000·00 | 37,000·00 |
| April 3 | - | 7,653·00 | 44,653·00 |
| May 6 | 3,040·00 | - | 41,613·00 |
| May 8 | - | 5,087·00 | 46,700·00 |
Mrs. Asha Mehta deposit Rs 250 per month for one year in a bank’s recurring deposit account. If the rate of (simple) interest is 8% per annum, then the interest earned by her on this account is
₹ 900 is deposited every month in a recurring deposit account at 10% rate of interest, the interest earned in 8 months is ______.
A man gets ₹ 1,404 as interest at the end of one year. If the rate of interest is 12% per annum in R.D. account, the monthly instalment is ______.
