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प्रश्न
Shahrukh opened a ‘Recurring Deposit’ account in a bank and deposited Rs. 800 per month for 1½ years. If he received Rs. 15,084 at the time of maturity, find the rate of interest per annum.
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उत्तर
Shahrukh deposited Rs. 800 per month for n = `1 1/2 ` years =18 months
∴ Total money deposited 18 x Rs. 800 Rs. 14400
Given that the maturity value = Rs 15084
Intrest paid by the banl
= Maturity Value - Total sum deposited
= 15084 - 14400
= Rs 684
Now
`I = P xx (n(n+1))/(2 xx12) xx r/100`
`=> 684 = 800 xx (18(18 + 1))/(2xx12) xx r/100`
`=> (684 xx 2 xx 12 xx 100)/(800 xx 18 xx 19) = r`
=> r = 6%
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| April 3rd 2006 | B/F | 6000 | ||
| April 7th | By cash | 2300 | 8300 | |
| April 15th | By cheque | 3500 | 11800 | |
| May 20th | To self | 4200 | 7600 | |
| June 10th | By cash | 5800 | 13400 | |
| June 15th | To self | 3100 | 10300 | |
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