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प्रश्न
Mr. Ashok has an account in the Central Bank of India. The following entries are from his passbook:
| Date | Particulars | Withdrawals (₹) |
Deposits (₹) |
Balance (₹) |
| 01-01-05 | B/F | - | - | 1,200·00 |
| 07-01-05 | By cash | 500·00 | 1,700·00 | |
| 17-01-05 | To cheque | 400·00 | - | 1,300·00 |
| 10-02-05 | By cash | - | 800·00 | 2,100·00 |
| 25-09-05 | By cheque | 500·00 | - | 1,600·00 |
| 20-09-05 | By cash | - | 700·00 | 2,300·00 |
| 21-11-05 | To cheque | 600·00 | - | 1,700·00 |
| 05-12-05 | By cash | - | 300·00 | 2,000·00 |
If Mr. Ashok gets Rs. 83.75 as interest at the end of the year where the interest is compounded annually, calculate the rate of interest paid by the bank in his Savings Bank Account on 31st December 2005.
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उत्तर
| Month | Minimum Balance between 10th day and last day (in ₹) | Qualifying Amount for interest |
| January | 1,300 | 1,300 |
| February | 1,600 | 1,600 x 8 = 12,800 |
| March | 1,600 | |
| April | 1,600 | |
| May | 1,600 | |
| June | 1,600 | |
| July | 1,600 | |
| August | 1,600 | |
| September | 1,600 | |
| October | 2,300 | 2,300 |
| November | 1,700 | 1,700 |
| December | 2,000 | 2,000 |
| Total | ₹ 20,100 |
Principal for 1 month = ₹ 20,100
Let x be Rate interest
then
Interest = `(20,100 xx x xx 1)/(100 xx 12)`
∴ 83·75 = `(20,100x)/(1,200)`
x = `(83·75 xx 1,200)/(20,100)`
x = 5
∴ Rate = 5%
संबंधित प्रश्न
The maturity value of an R.D. Account is ₹ 16176. If the monthly instalment is ₹ 400 and the rate of interest is 8%; find the time (period) of this R.D Account.
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(i) Feb., 1998 (ii) March, 98 (iii) April, 98 (iv) May, 98
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| 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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| 08.02.2008 | By Cash | 12000.00 | ||
| 15.03.2008 | To cash | 3000.00 | ||
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| 10.06.2008 | By Cash | 800.00 |
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