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At What Rate % P.A. Will a Sum of Rs. 4000 Yield Rs. 1324 as Compound Interest in 3 Years? - Mathematics

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प्रश्न

At what rate % p.a. will a sum of Rs. 4000 yield Rs. 1324 as compound interest in 3 years?

उत्तर

P = Rs. 4000, C.I. = Rs. 1324, n = 3 years
Amount, A = P + C.I. = Rs. 4000 + Rs. 1324 = Rs. 5324

`A = P(1 + r/100)^n`

`=> 5324 = 4000 (1 + r/100)^3`

`=> (1 + r/100)^3 = 5324/4000 = 1331/1000`

`=> (1+r/100)^3 = (11/10)^3`

`=> 1 + r/100 = 11/10`

`=> r/100 = 11/10 - 1 = 1/10`

`=> r = 10%`

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Concept of Compound Interest - Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
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2012-2013 (March) Set 1

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