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प्रश्न
Mohan has a recurring deposit account in a bank for 2 years at 6% p.a. simple interest. If he gets Rs. 1200 as interest at the time of maturity, find:
- the monthly instalment.
- the amount of maturity.
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उत्तर
Interest = Rs. 1200
Period (n) = 2 years = 24 months
Rate (r) = 6% p.a.
i. Let monthly deposit = ₹ P p.m.
∴ Interest = `(P xx n(n + 1))/(2 xx 12) xx r/(100)`
`1200 = (P xx 24 xx 25)/(24) xx (6)/(100)`
`\implies 1200 = (6)/(4)p`
∴ `P = (1200 xx 4)/(6) = 800`
∴ Monthly deposit = ₹ 800
ii. Maturity value = P × n + Interest
= ₹ 800 × 24 + ₹ 1200
= ₹ 19200 + ₹ 1200
= ₹ 20400
संबंधित प्रश्न
Virat opened a Savings Bank account in a bank on 16th April 2010. His pass book shows the following entries:
| Date | Particulars |
Withdrawal (Rs.) |
Deposit (Rs.) | Balance (Rs.) |
| April 16, 2010 | , By cash | - | 2500 | 2500 |
| April 28th | By cheque | - | 3000 | 5500 |
| May 9th | To cheque | 850 | - | 4650 |
| May 15th | By cash | 1600 | 6250 | |
| May 24th | To cash | 1000 | - | 5250 |
| June 4th | To cash | 500 | - | 4750 |
| June 30th | To cheque | - | 2400 | 7150 |
| July 3rd | By cash | - | 1800 | 8950 |
Calculate the interest Virat earned at the end of 31st July 2010 at 4% per annum interest. What sum of money will he receive if he closed the account on 1st August 2010?
A page from the ‘Savings Bank’ account of Priyanka is given below:
| Date | Particulars |
Amount (Rs.) |
Amount deposited (Rs.) |
Balance (Rs.) |
| 03/04/2006 | B/F | 4000.00 | ||
| 05/04/2006 | By cash | 2000.00 | 6000.00 | |
| 18/04/2006 | By cheque | 6000.00 | 12000.00 | |
| 25/05/2006 | By cheque | 5000.00 | 7000.00 | |
| 30/05/2006 | By cash | 3000.00 | 10000.00 | |
| 20/07/2006 | By self | 4000.00 | 6000.00 | |
| 10/09/2006 | By cash | 2000.00 | 8000.00 | |
| 19/09/2006 | To cheque | 1000.00 | 7000.00 |
If the interest earned by Priyanka for the period ending September 2006 is Rs. 175, the find the rate of interest.
Each of A and B both opened a recurring deposit accounts in a bank. If A deposited Rs. 1,200 per month for 3 years and B deposited Rs. 1,500 per month for 2 ½ years; find, on maturity, who will get more amount and by how much? The rate of interest paid by the bank is 10% per annum.
A man has a Recurring Deposit Account in a bank for `3 1/2` years. If the rate of interest is 12% per annum and the man gets Rs. 10,206 on maturity, find the value of monthly instalments.
Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits Rs. 140 per month for 4 years. If he gets Rs. 8,092 on maturity, find the rate of interest given by the bank.
Mr. Gulati has a Recurring Deposit Account of Rs. 300 per month. If the rate of interest is 12% and the maturity value of this account is Rs. 8,100; find the time (in years) of this Recurring Deposit Account.
Mr. Burman open a saving back account with Bank of India on 3rd April 2007 with a cash deposit of Rs 5,000/-. Subsequently, he deposited Rs 16,500/- by cheque on 11th April 2007, withdraw Rs 4,000/- on 10th May, paid Rs 3,500 for insurance by cheque on 7th July 2007, deposited Rs. 6,000/- in cash on 9th August 2007 and withdrew Rs 1,500/- on 12th Oct 2007.
Make the entries in his passbook
If Pankaj deposits 1,50,000 rupees in a bank at 10 p.c.p.a. for two years, what is the total amount he will get from the bank?
If the interest on 1700 rupees is 340 rupees for 2 years the rate of interest must be ______.
Fill in the blanks in the table.
| Principal | Rate of interest (p.c.p.a.) | Time | Interest | Amount |
| ...... | 5% | ...... | 6000 | 18000 |
