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What will Rs.500 amounts to in 10 years after its deposit in a bank which pays annual interest rate of 10% compounded annually? - Mathematics

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प्रश्न

What will Rs.500 amounts to in 10 years after its deposit in a bank which pays annual interest rate of 10% compounded annually?

योग
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उत्तर

P = ₹ 500

C.I. = 10%

Amount after 1 year = `"P"(1 + "r"/100)`

= `500 + (1 + 10/100)`

= `500(11/10)`

Amount after 2 years = `500(11/10)^2`

Now a = `500 (11/10)`,

r = `(500(11/10)^2)/(500(11/10))`

= `11/10`

tn = arn–1 

t10 = `500(11/10)(11/10)^9`

= `500(11/10)^10`

= 500(1.1)10

= 500(2.5937)

= 1296.87

Aliter:
Amount after 1 year = `500(1 + 10/100) = 500(11/10)`

Amount after 2 years = `500(11/10)(11/10) = 500(11/10)^2`

So amount after 10 years = `500(11/10)^10` = 1296.87

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Finite Series
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Binomial Theorem, Sequences and Series - Exercise 5.3 [पृष्ठ २२०]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 5 Binomial Theorem, Sequences and Series
Exercise 5.3 | Q 11 | पृष्ठ २२०
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