Advertisements
Advertisements
Question
Ahmed has a recurring deposit account in a bank. He deposits Rs. 2,500 per month for 2 years. If he gets Rs. 66,250 at the time of maturity, find
- The interest paid by the bank
- The rate of interest
Advertisements
Solution
1. P = Rs. 2500, n = 2 years = (2 × 12) months = 24 months
Total Principal = Rs. 2,500 × 24
= Rs. 60,000
Amount = Rs. 66,250
Interest = Amount – Principal
= Rs. 66,250 – Rs. 60,000
= Rs. 6,250
Thus, the interest paid by the bank is Rs. 6,250.
2. Let r be the rate of interest.
`N = (n(n + 1))/(2 xx 12)`
= `(24 xx 25)/(2 xx 12)`
= 25 years
This is equivalent to depositing Rs. 2,500 for 25 years.
Interest = `(P xx N xx R)/100`
⇒ `6250 = (2500 xx 25 xx R)/100`
⇒ R = 10
Thus, the rate of interest is 10%.
APPEARS IN
RELATED QUESTIONS
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| Date | Particulars | Amount withdrawn (Rs.)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.
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.
Using R.D., table calculate the values of a R.D., account of Rs. 80 for period of 9 months @ 11.5% p. a.
Amit deposited Rs. 150 per month in a bank for 8 months under the Recurring Deposit Scheme. What will be the maturity value of his deposits, if the rate of interest is 8% per annum and interest is calculated at the end of every month?
Mr. Dhoni has an account in the Union Bank of India. The following entries are from his passbook:
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| Jan 3, 07 | B/F | - | - | 2,642·00 |
| Jan 16 | To self | 640.00 | - | 2,002·00 |
| March 5 | By cash | - | 850·00 | 2,852·00 |
| April 10 | To self | 1130.00 | - | 1,722·00 |
| April 10 | By cheque | - | 650·00 | 2372.00 |
| June 15 | By cash | 577.00 | - | 1,795·00 |
Calculate the interest from January 2007 to June 2007 at a rate of 4% per annum.
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. Chaudhary opened a Saving’s Bank Account at State Bank of India on 1st April 2007.
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| 1st April 2007 | By Cash | - | 8,550·00 | 8,550·00 |
| 12th April 2007 | To Self | 1,200·00 | - | 7,350·00 |
| 24th April 2007 | By cash | - | 4,550·00 | 11,900·00 |
| 8th July 2007 | By Cheque | - | 1,550·00 | 13,400·00 |
| 10th Sept. 2007 | By Cheque | - | 3,500·00 | 16,900·00 |
| 17th Sept. 2007 | To Cheque | 2,500·00 | - | 14,400·00 |
| 11th Oct. 2007 | By Cash | - | 800·00 | 15,200·00 |
| 6th Jan. 2008 | To Self | 2,000·00 | - | 13,200·00 |
| 9th March 2008 | By Cheque | - | 950·00 | 14,150·00 |
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 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.
Mr. S.K. Mishra had a Savings Bank Account in Punjab National Bank. His Passbook had the following entries:
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| 1998, Jan. 8 | By Cash | - | 500·00 | 500·00 |
| March 19 | To Cheque No. 626 | 100·00 | - | 400·00 |
| May 23 | By Cheque | - | 1500·00 | 1,900·00 |
| July 29 | To Withdrawals Slip | 200·00 | - | 1,700·00 |
| Sept 2 | By Cash | - | 1,300·00 | 3,000·00 |
If the interest is paid at the rate of 5% per annum at the end of September every year, calculate the amount he will get if he closes the account on October 30, of the same year.
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.
