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Compound Interest
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- Definition: R.D. Account
- Maturity Period:
- Maturity Value (M.V.):
- Formula: Equivalent Principal for One Month
- Formula: Interest on R.D. Account
- Formula: Maturity Value (M.V.)
- Examples
Definition: Recurring Deposit Account (R.D. Account)
A scheme in which a fixed amount is deposited every month for a fixed period.
Definition: Maturity Period
Total time (in months/years) for which deposits are made.
Definition: Maturity Value (M.V.)
Total amount received at the end = Total deposits + Interest.
Formula: Interest on R.D.
\[I=P\times\frac{n(n+1)}{2\times12}\times\frac{r}{100}\]
Months = Years × 12
-
P = Monthly instalment
-
n = Number of months
-
r = Rate of interest (% p.a.)
-
I = Interest
-
M.V. = Maturity Value
Formula: Total Amount Deposited
Total Deposit = P × n
Formula: Maturity Value
M.V. = P × n + I
Shaalaa.com | Banking Example 1
Related QuestionsVIEW ALL [112]
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.
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.
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. 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.
