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प्रश्न
Ms. Saha opened a cumulative deposit account of monthly instalment of Rs 1,200 at 9%p.a simple interest. She earned a total interest of Rs 5,328. How much installments did she pay?
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उत्तर
Given that, cumulative deposit per month =Rs 1200, Period= t Months, R=9 %, Interest amount= Rs. 5328
Money deposited= Monthly value x No ofMonths=1200 x t= Rs 1200t
Total Principal for 1 Month = `(1200 xx ("t")("t" + 1))/2`
= 600t2 + 600 t
Interest = `("Principal for One month" xx "R")/(12 xx 100)`
..... (1)
Putting Values in (1), we get
5328 = `((600"t"^2 + 600"t") xx 9)/1200`
⇒ 5328= (4.5t2 + 4.5t)
⇒ 4.5t2 + 4.5t - 5328 = 0
⇒ t = 34 months (approximately)
Thus, she paid 34 installments.
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संबंधित प्रश्न
Mrs Kapoor opened a Savings Bank Account in State Bank of India on 9th January 2008. Her pass book entries for the year 2008 are given below:
| Date | Particulars | Withdrawals (in Rs.) | Deposits (in Rs.) | Balance (in Rs.) |
| Jan 9, 2008 | By Cash | - | 10000 | 10000 |
| Feb 12, 2008 | By Cash | - | 15500 | 25500 |
| April 6, 2008 | To Cheque | 3500 | - | 22000 |
| April 30, 2008 | To Self | 2000 | - | 20000 |
| July 16, 2008 | By Cheque | - | 6500 | 26500 |
| August 4, 2008 | To Self | 5500 | - | 21000 |
| August 20, 2008 | To Cheque | 1200 | - | 19800 |
| Dec. 12, 2008 | By Cash | - | 1700 | 21500 |
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.
A savings bank account was opened by Mrs. Roy on 3.7.12 and closed on 31.01.13. The entries in the passbook of Mrs. Roy were as given below:
| Date | Particulars | Debit (In Rs) | Credit (In Rs) | Balance (In Rs) |
| 3.7.12 | By cash | 690.00 | ||
| 15.7.12 | By cash | 1,153.00 | ||
| 27.8.12 | By Cheque | 2,468.00 | ||
| 30.8.12 | To cash | 946.00 | ||
| 12.9.12 | To Cheque | 1,000.00 | ||
| 20.11.12 | By Cheque | 3,000.00 | ||
| 26.11.12 | By cash | 750.00 | ||
| 28.11.12 | To Cash | 1,570.00 |
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