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Amit deposited Rs 150 per month in a bank for 8 months under the Recurring Deposit Scheme. - Mathematics

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प्रश्न

Amit deposited Rs 150 per month in a bank for 8 months under the Recurring Deposit Scheme. What will be the maturity value of his deposits, if the rate of interest is 8% per annum and interest is calculated at the end of every month?

योग
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उत्तर

Installment per month(P) = Rs 150

Number of months(n) = 8

Rate of interest(r) = 8% p.a.

`:. "S.I" = "P" xx ("n"("n" + 1))/(2 xx 12) xx "r"/100`

`= 150 xx (8(8 + 1))/(2 xx 12) xx 8/100`

`= 150 xx 72/24 xx 8/100 = "Rs " 36`

The amount that Amit will get at the time of maturity
= Rs (150 × 8) + Rs 36

= Rs 1,200 + Rs 36

= Rs 1,236

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