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प्रश्न
Katrina opened a recurring deposit account with a Nationalised Bank for a period of 2 years. If the bank pays interest at the rate 6% per annum and the monthly instalment is Rs. 1,000, find the:
- Interest earned in 2 years.
- Matured value.
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उत्तर
Given,
P = Rs. 1000
n = 2 years = 24 months
r = 6%
1. Interest = `P xx (n(n + 1))/2 xx r/(12 xx 100)`
= `1000 xx (24 xx 25)/2 xx 6/(12 xx 100)`
= 1500
Thus, the interest earned in 2 years is Rs. 1500.
2. Sum deposited in two years 24 × 1000 = 24,000
Maturity value = Total sum deposited in two years + Interest
= 24000 + 1500
= 25500
Thus, the maturity value is Rs. 25,500.
संबंधित प्रश्न
John had a savings bank account in a bank. In the months of april, 97 and May, 97 He had the following entries in his passbook.
| Date | Particulars | Withdrawals (In Rs) | Deposits (In Rs) | Balance (In Rs) |
| April 1 | By Balance | 4,600.00 | ||
| April 7 | By cash | 1,200.00 | 5,800.00 | |
| April 24 | To Cheque | 800.00 | 5,000.00 | |
| May 16 | By Cheque | 2,000.00 | 7,000.00 | |
| May 29 | To Cash | 1,500.00 | 5,500.00 |
Find the amounts on which John will get interest for the months of April, 97 and May 97.
Mrs. Swami had a savings bank account with the state bank of India, from `13^"th"` Feb 09 to 6th August 09. The following table shows the entries in her passbook for the above said periods. Calculate the interest earned by Mrs. Swami on her S.B. Account up to `31^"st"` July 09 at the rate of 5% per annum.
| Date | Particulars | Amount Withdrawn (Dr) Rs P | Amount Deposits (Cr) Rs. P | Balance Rs. P |
| Feb 13 | By Cash | 500.00 | 500.00 | |
| March 3 | By cheque | 735.00 | 1,235.00 | |
| March 14 | By cheque | 1,040.00 | 2,275.00 | |
| May 10 | To cheque | 240.00 | 2.035.00 | |
| May 22 | To cash | 430.00 | 1,605.00 | |
| June 19 | By cash | 780.00 | 2,385.00 | |
| July 26 | To cash | 980.00 | 1,405.00 |
A man holds a savings bank account in the union bank of India. A page of his passbook shows the following entries:
| Date | Particulars | Withdrawals (Rs) | Deposits (Rs) | Balance (Rs) |
| May 1 | B/F | 3,200.00 | ||
| May 6 | By Cheque | 500.00 | 3,700.00 | |
| May 17 | By Cheque | 800.00 | 4,500.00 | |
| June 4 | By Cash | 1,300.00 | 5,800.00 | |
| June 9 | To Cheque | 1,650.00 | 4,150.00 |
Calculate the rate of interest per annum if the total interest earned for the months of May and June is Rs. 39.25`
Mrs. N. Batra has a savings bank account with the Punjab National bank. She had the following transactions (from 1st January, 2007 to 31st December, 2007) with the bank:
(i) 01-01-2007; B/F Rs. 8,764/-
(ii) 13-03-2007; deposited Rs. 6,482
(iii) 22-06-2007; withdrew Rs. 4,369
(iv) 09-08-2007; withdrew Rs. 1,333
(v) 24-11-2007; Deposited Rs. 2,158
Calculate the interest the accrured upto 31st December, 2007: if the rate of interest is 5% compounded yearly and the principle for every month is taken as the nearest multiple of Rs.10.
Taking the rate of interest as 6% per annum, find the amount that Mr. verma gets on closing the account.
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?
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.
A page from the saving bank account of Priyanka is given below:
| Date | Particulars | Amount withdrawn(₹) |
Amount deposited (₹) |
Balance (₹) |
| 3/4/2006 | B/F | - | - | 4,000·00 |
| 5/4/2006 | By Cash | - | 2,000·00 | 6,000·00 |
| 18/4/2006 | By cheque | - | 6,000·00 | 12,000·00 |
| 25/5/2006 | To cheque | 5,000·00 | - | 7,000·00 |
| 30/5/2006 | By cash | - | 3,000·00 | 10,000·00 |
| 20/7/2006 | By self | 4,000·00 | - | 6,000·00 |
| 10/9/2006 | By cash | - | 2,000·00 | 8,000·00 |
| 19/9/2006 | To cheque | 1,000·00 | - | 7,000·00 |
If the interest earned by Priyanka for the period ending September 2006 is Rs. 175, find the rate of interest.
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| Date | Debit (in ₹) | Credit (in ₹) | Balance (in ₹) |
| January 1 | - | 24,000·00 | 24,000·00 |
| January 20 | 5,000·00 | - | 19,000·00 |
| January 29 | - | 10,000·00 | 29,000·00 |
| March 15 | - | 8,000·00 | 37,000·00 |
| April 3 | - | 7,653·00 | 44,653·00 |
| May 6 | 3,040·00 | - | 41,613·00 |
| May 8 | - | 5,087·00 | 46,700·00 |
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