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Kiran Deposited Rs. 200 per Month for 36 Months in a Bank’S Recurring Deposit Account. If the Bank Pays Interest at the Rate of 11% per Annum, Find the Amount She Gets on Maturity. - Mathematics

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प्रश्न

Kiran deposited Rs. 200 per month for 36 months in a bank’s recurring deposit account. If the bank pays interest at the rate of 11% per annum, find the amount she gets on maturity.

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उत्तर १

P = Rs. 200, n = 36 months and r = 11%

`I = P xx (n(n + 1))/(2xx12) xx r/100`

`=> I = Rs 200 xx (36 xx 37)/24 xx 11/100` = Rs 1221

Sum deposited Rs.200 x 36 =  Rs. 7200

∴ Amount that kiran gets on maturity = Rs 7200 + Rs 1221 = Rs 8421

shaalaa.com

उत्तर २

Amount deposited month (P) = Rs. 200
Period (n) = 36 months,
Rate (R) = 11% p.a.
Now amount deposited in 36 months = Rs. 200 x 36 = Rs 7200
Simple Interest(S.I.)

= `"P"(("n"("n" + 1))/2) xx (1)/(12) xx "R"/(100)`

= `200((36(36 + 1))/2) xx (1)/(12) xx (11)/(100)`

= `(200 xx 36 xx 37 xx 11)/(2 xx 12 xx 100)`
= 1221
∴ Kiran will get maturity value
= Rs.7200 + 1221
= Rs.8421.

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अध्याय 2: Banking - Exercise 2.1

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