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Rekha opened a recurring deposit account for 20 months. The rate of interest is 9% per annum and Rekha receives Rs. 441 as interest at the time of maturity. Find the amount Rekha deposited each month. - Mathematics

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प्रश्न

Rekha opened a recurring deposit account for 20 months. The rate of interest is 9% per annum and Rekha receives Rs. 441 as interest at the time of maturity. 
Find the amount Rekha deposited each month.

योग
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उत्तर

Let the monthly installment i.e P = Rs. x.
Since n = 20 months and r = 9% 

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

`= (x xx 20 (21))/(2xx12) xx 9/100`

` = (x xx20xx21 )/(2xx12) xx 9/100`

` = (x xx 5xx7xx9)/(2xx100)`

Interest = 1.575 × P

Interest = 441 {Given}

⇒ 1.575 x = 441

x = 280 Rs.

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अध्याय 2: Banking - Exercise 2A [पृष्ठ २३]

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नूतन Mathematics [English] Class 10 ICSE
अध्याय 2 Banking
Exercise 2A | Q 7. | पृष्ठ २३

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