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प्रश्न
Lataben borrowed some money from a bank at a rate of 10 p.c.p.a. interest for `2 1/2` years to start a cottage industry. If she paid 10250 rupees as total interest, how much money had she borrowed?
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उत्तर
Given:
Total interest (I) = 10250 rupees
Rate of interest (R) = 10%
Time (T) = `2 1/2` yrs = `5/2`
Principal (P) = ?
Formula:
Interest = `("P" xx "R" xx "T")/100`
Solution:
10250 = `("P" xx 10 xx 5/2)/100`
10250 = `("P" xx 10 xx 5)/(100 xx 2)`
P = `(10250 xx 100 xx 2)/(10 xx 5)`
P = `10250 xx 2 xx 2`
P = 10250 × 4
P = 41000
∴ Lataben borrowed ₹41000 from the bank.
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| April 16, 2010 | , By cash | - | 2500 | 2500 |
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| 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 |
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Fill in the blanks in the table.
| Principal | Rate of interest (p.c.p.a.) | Time | Interest | Amount |
| 8000 | 5% | ...... | 800 | ...... |
