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प्रश्न
A man has a Recurring Deposit Account in a bank for `3 1/2` years. If the rate of interest is 12% per annum and the man gets Rs. 10,206 on maturity, find the value of monthly instalments.
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उत्तर
Let instalment per month (P) = Rs. y
Number of months (n) = 42
Rate of interest (r) = 12% p.a.
∴ `S.I. = P xx (n(n + 1))/(2 xx 12) xx r/100`
= `y xx (42(42 + 1))/(2 xx 12) xx 12/100`
= `y xx 1806/24 xx 12/100`
= Rs. 9.03y
Maturity value = Rs. (y × 42) + Rs. 9.03y = Rs. 51.03y
Given maturity value = Rs. 10,206
Then Rs. 51.03y = Rs. 10206
`\implies` y = `10206/51.03` = Rs. 200
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संबंधित प्रश्न
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Deposit (Rs.) | Balance (Rs.) |
| 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 | |
| August 13th | By cheque | 1000 | 11300 | |
| August 25th | To self | 7400 | 3900 | |
| September 6th 2006 |
By cash | 2000 | 5900 |
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