Advertisements
Advertisements
प्रश्न
Mr. Gupta opened a recurring deposit account in a bank. He deposited Rs. 2,500 per month for two years. At the time of maturity he got Rs. 67,500. Find:
- the total interest earned by Mr. Gupta.
- the rate of interest per annum.
Advertisements
उत्तर
Deposit per month = Rs. 2,500
Period = 2 years = 24 months
Maturity value = Rs. 67,500
i. Total principal for 1 month
= `(P xx n(n + 1))/(2)`
= ₹ `(2500 xx 24 xx 25)/(2)`
= ₹ 7,50,000
∴ Interest
= ₹ 67,500 – 24 × 2,500
= ₹ 67,500 – 60,000
= ₹ 7,500
ii. Period = 1 month
= `1/12` year
∴ Rate of interest
= `(S.I. xx 100)/(P xx T)`
= `(7500 xx 100 xx 12)/(750000 xx 1)`
= 12%
APPEARS IN
संबंधित प्रश्न
Given below are the entries in a Saving Bank A/c passbook.
| Date | Particulars | Withdrawals | Deposit | Balance |
| Feb8 | B/F | - | - | Rs. 8500 |
| Feb 18 | To self | Rs. 4000 | - | |
| April 12 | By cash | - | Rs. 2230 | |
| June 15 | To self | Rs. 5000 | - | |
| July 8 | By cash | - | Rs. 6000 |
Calculate the interest for six months from February to July at 6% p.a.
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.
The maturity value of an R.D. Account is ₹ 16176. If the monthly instalment is ₹ 400 and the rate of interest is 8%; find the time (period) of this R.D Account.
John had a S.B. Account in Bank of Baroda. His passbook had the following entries:
| Date | Particulars | Amount Withdrawn (In Rs) |
Amount Deposits (In Rs) |
Balance (In Rs) |
| Jan 1, 2000 Jan, 8 Feb 18 May 19 July 15 Oct 7 |
By Balance By cash To Cheque By Cash To self By cash |
- - 10,500 - 2,400 - |
- 6,000 - 6,300 - 3,600 |
9,600 15,600 5,100 11,400 9,000 12,600 |
On October 30, 2000 John received his transfer order and closed the account. If the amount of interest he received on closing the account on 30th, Oct 2000 is Rs. 310; calculate the rate of interest per annum.
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.
A savings bank account was opened by Mrs. Roy on 3.7.12 and closed on 31.01.13. The entries in the passbook of Mrs. Roy were as given below:
| Date | Particulars | Debit (In Rs) | Credit (In Rs) | Balance (In Rs) |
| 3.7.12 | By cash | 690.00 | ||
| 15.7.12 | By cash | 1,153.00 | ||
| 27.8.12 | By Cheque | 2,468.00 | ||
| 30.8.12 | To cash | 946.00 | ||
| 12.9.12 | To Cheque | 1,000.00 | ||
| 20.11.12 | By Cheque | 3,000.00 | ||
| 26.11.12 | By cash | 750.00 | ||
| 28.11.12 | To Cash | 1,570.00 |
(i) By finding the balance on different dates of entries calculate the interest earned by Mrs. Roy, For the period she had this savings bank account, at the rate of 6% p.a.
(ii) Also, calculate the interest when the principal for every month is taken as the nearest multiple of 10.
A page from the passbook of a savings book account in a particular year is given below:
| Date | Particulars | Debit (In Rs) | Credit (In Rs) | Balance (In Rs) |
| Jan 3 | By cash | 5,000.00 | 5,000.00 | |
| Feb 13 | To self | 500.00 | ||
| March 24 | By cheque | 2,000.00 | ||
| March 31 | By Interest | |||
| May 20 | By cash | 800.00 | ||
| July 7 | To Cheque | 1,400.00 | ||
| July 18 | By cash | 1,600.00 | ||
| Sept 15 | To Cheque | 3,200.00 | ||
| Sept 26 | By Cheque | 2,350.00 |
If the interest is calculated at 6% P.a. and is compounded at the end of march and September at every year, find the interest earned up to 31st march and then after completing all the entries, find the amount that the account holder would have received had he closed the account on 20th October the same year.
The following are the entries in the passbook of a saving account of Ananya during the year 2007. If interest is calculated at 5 % pa, find the interest earned by Ananya during the year
| Date | Particulars | Withdrawals | Deposits | Balance |
| 01.01.2007 | By B/F | 6500.00 | ||
| 05.02.2007 | By Cheque | 7500.00 | 14000.00 | |
| 09.02.2007 | To Cash | 1500.00 | 12500.00 | |
| 06.06.2007 | By Cash | 1725.00 | 14225.00 | |
| 08.09.2007 | By Cheque | 375.00 | 14600.00 | |
| 06.11.2007 | By Cash | 6000.00 | 20600.00 | |
| 10.12.2007 | To Cheque | 2500.00 | 18100.00 |
Sharukh opened a recurring deposit account in a bank and deposited Rs 800 per month for `1 1/2` years. If he recieved Rs 15,084 at the time of maturity, find the rate of interest per annum.
Mr. Sameer has a recurring deposit account and deposits ₹ 600 per month for 2 years. If he gets ₹ 15600 at the time of maturity, find the rate of interest earned by him.
