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प्रश्न
Shilpa has a 4 year recurring deposit account in Bank of Maharashtra and deposits Rs 800 per month. If she gets Rs 48200 at the time of maturity, find
- the rate of simple interest.
- the total interest earned by Shilpa.
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उत्तर
Deposit per month (P) = Rs 800
Amount of maturity = Rs 48200
Period (n) = 4 years = 48 months
Let rate of interest be R% p.a.
Total principal for one month
= `(P(n)(n + 1))/(2)`
= `(800 xx 48 xx (48 + 1))/(2)`
= `₹(800 xx 48 xx 49)/(2)`
= ₹ 940800
Total deposit:
= ₹ 800 × 48
= ₹ 38400
and amount of maturity
= ₹ 48200
∴ Interest earned
= ₹ 48200 − ₹ 38400
= ₹ 9800
(i) Rate of interest
= `("S.I" xx 100)/("P" xx "T")`
= `(9800 xx 100 xx 12)/(940800)`
= 12.5%
(ii) Total interest earned by Shilpa
= ₹ 9800
संबंधित प्रश्न
Deepa has a 4-year recurring deposit account in a bank and deposits Rs 1,800 per month. If she gets Rs 1,08,450 at the time of maturity, find the rate of interest.
Manu opened a savings bank account in the state bank of India on 3rd sept, 12 with Rs. 2,700. He withdrew Rs. 1,200 from the bank on 8th sept, 12 and deposited Rs. 500 on 17th sept, 12. If he did not make any further deposits or withdrawals during this month; find the amount on which he would receive interest for sept, 12.
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| 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 |
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| 05.01.2008 | By B/F | 24650.00 | ||
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| 31.03.2008 | By Interest | |||
| 08.04.2008 | By Cheque | 13670.00 | ||
| 12.04.2008 | To Cash | 6000.00 | ||
| 01.05.200 | By Cheque | 17350.00 | ||
| 16.06.2008 | By Cash | 9000.00 | ||
| 27.06.2008 | To Cash | 4370.00 | ||
| 04.07.2008 | By Cheque | 21320.00 | ||
| 11.07.2008 | To Cheque | 9460.00 | c |
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| Jan. 4, 2007 | By Cash | - | 1,000·00 | 1,000·00 |
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| Feb. 3, 2007 | By Cash | - | 2,500·00 | 6,500·00 |
| Feb. 7, 2007 | To Cheque | 2,000·00 | - | 4,500·00 |
| March 3, 2007 | By Cash | - | 5,000·00 | 9,500·00 |
| May 25, 2007 | By Cash | - | 2,000·00 | 11,500·000 |
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Amount deposited (₹) |
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| 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 |
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