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At what per cent per annum will Rs. 6,000 amount to Rs. 6,615 in 2 years when interest is compounded annually? - Mathematics

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Question

At what per cent per annum will Rs. 6,000 amount to Rs. 6,615 in 2 years when interest is compounded annually?

Sum

Solution

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

⇒ 6,615 = `6,000( 1 + r/100 )^2`

⇒ `( 1 + r/100 )^2 = [6,615]/[6,000]`

⇒  1 + `r/100 = 21/20`

= r = 5%

At 5% per annum the sum of Rs. 6,000 amounts to Rs. 6,615 in 2 years when the interest is compounded annually.

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Concept of Compound Interest - Inverse Formula
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Chapter 3: Compound Interest (Using Formula) - Exercise 3 (A) [Page 44]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 3 Compound Interest (Using Formula)
Exercise 3 (A) | Q 9 | Page 44
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