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In how many years will Rs. 7,000 amount to Rs. 9,317 at 10% per annum compound interest?

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Question

In how many years will Rs. 7,000 amount to Rs. 9,317 at 10% per annum compound interest?

Sum
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Solution

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

A = 9317

P = 7000

r = 10%

n = ?

9317 = 7000 `(1+10/100)^n`

9317 = 7000(1.1)n

`9317/7000 = (1.1)^n`

1.331 = (1.1)n

(1.1)2 = 1.21

(1.1)3 = 1.331

(1.1)n = 1.331

n = 3

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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 13 | Page 44
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