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Mr. Britto deposits a certain sum of money each month in a Recurring Deposit Account of a bank. It the rate of interest is of 8% per annum and Mr. Britto gets Rs. 8,088 from the bank after 3 years - Mathematics

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प्रश्न

Mr. Britto deposits a certain sum of money each month in a Recurring Deposit Account of a bank. It the rate of interest is of 8% per annum and Mr. Britto gets Rs. 8,088 from the bank after 3 years, find the value of his monthly instalment.

योग
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उत्तर

Let the value of monthly instalment be Rs. x

Maturity value (M.V.) = Rs. 8,088

Period = n = 3 years = 36 months

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

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

= `x xx (36 xx 37)/24 xx 8/100`

= `444/100x`

=  4.44x

Total amount of maturity = 36x + 4.44x

`\implies` 8088 = 40.44x

`\implies` x = 200

Thus, the value of monthly instalment is Rs. 200.

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2012-2013 (March) Set 1

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