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प्रश्न
Kiran deposited 200 per month for 36 months in a bank’s recurring deposit account. If the bank pays interest at the rate of 11% per annum, find the amount she gets on maturity.
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उत्तर
Interset = `("P"n(n +1) xx "R")/(2,400)`
= `(200 xx 36 xx 37 xx 11)/(2,400)`
= 3 x 37 x 11
= ₹ 1,221
Sum deposited = 36 x 200 = ₹ 7,200
Amount = 7,200 + 1,221 = ₹ 8,421.
संबंधित प्रश्न
Mr. Bajaj needs Rs. 30,000 after 2 years. What least money (in multiple of 5) must he deposit every month in a recurring deposit account to get required money at the end of 2 years, the rate of interest being 8% p.a.?
Rishabh has the recurring deposit account in a post office for 3 years at 8% p.a. simple interest. If he gets Rs 9,990 as interest at the time of maturity, find:
1) The monthly instalment.
2) The amount of maturity.
A page from the savings bank account of Mr. Prateek if given below.
| Date | Particulars | Withdrawals (In Rs) | Deposits (In Rs) | Balance (In Rs) |
| January 1st 2006 | B/F | - | - | 1,270 |
| January 7th 2006 | By Cheque | - | 2,310 | 3,580 |
| March 9th 2006 | To self | 2,000 | - | 1,580 |
| March 26th 2006 | By cash | - | 6,200 | 7,780 |
| June 10th 2006 | To Cheque | 4,500 | - | 3,280 |
| July 15th 2006 | By clearing | - | 2,630 | 5,910 |
| October 18th 2006 | To Cheque | 530 | - | 5,380 |
| October 27th 2006 | To self | 2,690 | - | 2,690 |
| November 3rd 2006 | By cash | - | 1,500 | 4,190 |
| December 6th 2006 | To cheque | 950 | - | 3,240 |
| December 23rd 2006 | By Transfer | - | 2,920 | 6,160 |
If h receives Rs. 198 as interest on 1st January, 2007, Find the rate of interest paid by the bank.
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/-
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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 |
Mr. Patel deposit Rs 2,250 per month in a recurring deposit account for a period of 3 years. At the time of maturity, he gets Rs 90,990.
(a) Find the rate of simple interest per annum.
(b) Find the total interest earned by Mr. Patel.
A page from the Savings Bank Account of Mr. Prateek is given below:
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| January 1st, 2006 | B/F | - | - | 1,270 |
| January 7th, 2006 | By Cheque | - | 2,310 | 3,580 |
| March 9th, 2006 | To Self | 2,000 | - | 1,580 |
| March 26th, 2006 | By Cash | - | 6,200 | 7,780 |
| June 10th, 2006 | To Cheque | 4,500 | - | 3,280 |
| July 15th, 2006 | By Clearing | - | 2,630 | 5,910 |
| October 18th, 2006 | To Cheque | 530 | - | 5,380 |
| October 27th, 2006 | To Self | 2,690 | - | 2,690 |
| November 3rd, 2006 | By Cash | - | 1,500 | 4,190 |
| December 6th, 2006 | To Cheque | 950 | - | 3,240 |
| December 23rd, 2006 | By Transfer | - | 2,920 | 6,160 |
If he receives ₹198 as interest on 1st January 2007, find the rate of interest paid by the bank.
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:
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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 |
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