हिंदी

Mr. Richard has a recurring deposit account in a bank for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8325 interest at the time of maturity, find the monthly deposit the maturity value. - Mathematics

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प्रश्न

Mr. Richard has a recurring deposit account in a bank for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8325 interest at the time of maturity, find

  1. the monthly deposit
  2. the maturity value.
योग
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उत्तर

i. Let the deposit per month = Rs. P

Number of months (n) = 36

Rate of interest (r) = 7.5% p.a.

∴ `S.I = Pxx(n(n + 1))/(2 xx 12) xx r/100`

`\implies 8325 = P xx (36 xx 37)/(2 xx 12) xx (7.5)/100`

`\implies 8325 = P xx (3 xx 37)/2 xx 7.5/100`

`\implies` P = `(8325 xx 2 xx 100)/(3 xx 37 xx 7.5)`

`\implies` P = Rs. 2000

ii. Maturity value = P × n + S.I

= Rs. (2000 × 36 + 8325)

= Rs. 80,325

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