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प्रश्न
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.
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उत्तर
| Month | Minimum Balance between 10th day and last day (in ₹) | Qualifying Amount for interest |
| January | 1,300 | 1,300 |
| February | 1,600 | 1,600 x 8 = 12,800 |
| March | 1,600 | |
| April | 1,600 | |
| May | 1,600 | |
| June | 1,600 | |
| July | 1,600 | |
| August | 1,600 | |
| September | 1,600 | |
| October | 2,300 | 2,300 |
| November | 1,700 | 1,700 |
| December | 2,000 | 2,000 |
| Total | ₹ 20,100 |
Principal for 1 month = ₹ 20,100
Let x be Rate interest
then
Interest = `(20,100 xx x xx 1)/(100 xx 12)`
∴ 83·75 = `(20,100x)/(1,200)`
x = `(83·75 xx 1,200)/(20,100)`
x = 5
∴ Rate = 5%
संबंधित प्रश्न
A page from a savings bank account passbook is given below:
| Date | Particulars | Amount withdrawn (Rs.) |
Amount Deposited (Rs.) |
Balance (Rs.) |
| Jan 7, 2016 | B/F | 3,000.00 | ||
| Jan 10, 2016 | By Cheque | 2600.00 | 5600.00 | |
| Feb 8, 2016 | To Self | 1500.00 | 4100.00 | |
| Apr 6, 2016 | By Cheque | 2100.00 | 2000.00 | |
| May 4, 2016 | By Cash | 6500.00 | 8500.00 | |
| May 27, 2016 | By Cheque | 1500.00 | 10000.00 |
1) Calculate the interest for the 6 months from January to June 2016, at 6% per annum.
2) If the account is closed on 1st July 2016, find the amount received by the account holder.
Given below are the entries in a saving Bank A/C pass book:
| Date | Particulars | Withdrawals | Deposits | Balance |
| Feb 8 Feb 18 April 12 June 15 July 8 |
B/F To self By Cash To Self By Cash |
- Rs. 4,000 - Rs. 5,000 - |
- - Rs. 2,230 - Rs. 6,000 |
Rs. 8,500 4500 6730 1730 7730 |
Calculate the interest for 6 months from February to July at 6% per annum.
A page from the savings bank account of Mr. Prateek if given below.
| Date | Particulars | Withdrawals (In Rs) | Deposits (In Rs) | Balance (In Rs) |
| 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 h receives Rs. 198 as interest on 1st January, 2007, Find the rate of interest paid by the bank.
Mr. Mohan has a cumulative deposit account for 3 years at 7% interest pa. She receives Rs 8,547 as a maturity amount after 3 years.
(a) Find the monthly deposit.
(b) Find the total interest receivable after maturity.
Mohan saves Rs. 25 per month from his pocket allowance and puts this saving every month in a bank recurring deposit scheme for a period of 72 months at 5.25%. What amount does he get on maturity?
Akash, an employee of a bank, has a saving bank account in his bank that pays him
interest at the rate of 5% p.a., which is compounded every June and December. His passbook entries are as follow:
| Date | Particulars | Withdrawals(₹) | Deposits(₹) | Balance(₹) |
| Feb. 3, 1981 | By cash | - | 500·00 | 500·00 |
| Feb, 11 | To cheque no. 371 | 200·00 | - | 300·00 |
| Feb. 11 | By cheque | - | 700·00 | 1,000·00 |
| March 1 | By salary | - | 2,350·00 | 3,350·00 |
| March 4 | To withdrawals slip | 1,500·00 | - | 1,850·00 |
| March 31 | To Urnil | 150·00 | - | 1,700·00 |
| April 1 | By salary | - | 2.350·00 | 4,050·00 |
| April 2 | To Sri Ram | 1,800·00 | - | 2,250·00 |
| May 1 | By salary | - | 2,350·00 | 4,600·00 |
| May 3 | To accountant | 2,000·00 | - | 2,600·00 |
Calculate the interest due at the end of June and find the balance on July 1, if he deposits a cash of? 100 on July 1, which is also entered immediately.
Mr. Mishra has a Savings Bank Account in Allahabad Bank. His passbook entries are as follows:
| Date | Particulars | Amount Withdrawals(₹) |
Amount Deposits(₹) | Amount Balance(₹) |
| Jan. 4, 2007 | By Cash | - | 1,000·00 | 1,000·00 |
| Jan. 11, 2007 | By Cheque | - | 3,000·00 | 4,000·00 |
| Feb. 3, 2007 | By Cash | - | 2,500·00 | 6,500·00 |
| Feb. 7, 2007 | To Cheque | 2,000·00 | - | 4,500·00 |
| March 3, 2007 | By Cash | - | 5,000·00 | 9,500·00 |
| May 25, 2007 | By Cash | - | 2,000·00 | 11,500·000 |
| June 7, 2007 | By Cash | - | 3,500·00 | 15,000·00 |
| Aug 29, 2007 | To Cheque | 1,000·00 | - | 14,000·00 |
Rate of interest paid by the bank is 4.5% per annum. Mr. Mishra closes his account on 30th October, 2007. Find the interest he receives.
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.
Samita has a recurring deposit account in a bank of Rs 2000 per month at the rate of 10% p.a. If she gets Rs 83100 at the time of maturity. Find the total time for which the account was held.
In a recurring deposit account, John deposits ₹ 500 per month for 24 months. If the interest he earns is one-tenth of his total deposit, the rate of interest is ______.
