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प्रश्न
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.
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उत्तर
Monthly deposit (P) = Rs 800
`"n" = 3/2 xx 12` months = 18 months
Maturity value (M.V) = Rs 15084
Now, M.V = P x N + P x `("n"("n" + 1))/(2 xx 12) xx "r"/100`
⇒ 15084 = 800 x 18 + 800 x `(18 xx 19)/24 xx "r"/100`
⇒ 15084 = 14400 + 114r
⇒ 114r = 684
⇒ r = `684/114` = 6%
Thus, the rate of interest per anum is 6%.
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| Date | Particulars | Amount withdrawn (Rs.)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.
Mr. Richard has a recurring deposit account in a bank for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8325 interest at the time of maturity, find:
- The monthly deposit
- The maturity value.
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| Date | Particulars | Amount Withdrawn (In Rs) |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.
Mr. Sen has a savings bank account with a post office.
(i) calculate the interest earned by Mr. Sen during the year 2010 at 6.5% per annum payable in December if the entries during the year in his passbook are as given below:
| Date | Particulars | Withdrawals (Rs) | Deposits (Rs) |
| 2.1.10 | By cash | 250.00 | |
| 9.1.10 | By Cheque | 825.00 | |
| 13.3.10 | To Cash | 325.00 | |
| 24.7.10 | By Cash | 1,237.00 | |
| 6.10.10 | To Cheque | 250.00 | |
| 22.12.10 | By Cheque | 958.00 |
(ii) Also, calculate the interest when the principal for every month is taken as the nearest multiple of Rs. 10.
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.
The following enb·ies are from the saving bank account passbook of Mr. Ratnesh. If the rate of interest paid by the bank is 4. 5°/op.a. calculated at the end of March and September, find the balance in his account at the end of the year.
| Date | Particulars | Withdrawls | Deposits | Balance |
| 03.01.2006 | By B/F | 17900.00 | ||
| 09.01.2006 | To Cash | 3700.00 | 14200.00 | |
| 06.02.2006 | To Cheque | 2450.00 | 11750.00 | |
| 21.02.2006 | By Cash | 15600.00 | 27350.00 | |
| 17.03.2006 | By Cash | 9850.00 | 37200.00 | |
| 31.03.2006 | By Interest | |||
| 06.06.2006 | To Cheque | 4100.00 | ||
| 22.08.2006 | To Cash | 1500.00 | ||
| 05.09.2006 | By Cheque | 17300.00 | ||
| 09.09.2006 | To Cash | 6300.00 | ||
| 30.09.2006 | By Interest | |||
| 04.12.2006 | To Cash | 3000.00 | ||
| 11.12.2006 | By Cheque | 11760.00 |
Mr. Menon deposit Rs 1,200 per month in a cumulative deposit account for a period of 5 years. After the end of the period, he will receive Rs 88,470. (a) Find the rate of the interest per annum. (b) Find the total interest that Mr. Menon will earn.
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. 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.
₹ 800 per month is deposited in an R.D. account for one and half years. If the depositor gets ₹ 2,280 as interest at the time of maturity, the rate of interest is ______.
