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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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Virat opened a Savings Bank account in a bank on 16th April 2010. His pass book shows the following entries:
| Date | Particulars |
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| April 16, 2010 | , By cash | - | 2500 | 2500 |
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| May 15th | By cash | 1600 | 6250 | |
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| July 3rd | By cash | - | 1800 | 8950 |
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