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A man has a Recurring Deposit Account in a bank for 312 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. - Mathematics

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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.

योग
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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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