# In How Many Years Will A Sum Of Money Double At 5 P.A. Compound Interest

$\\ Amount =2\times principal\\ \\\Rightarrow Rate=5%\\ \\$

According to given question:

Let principal be x

Amount=2x

As we know that ,

$\\\Rightarrow a=p(1 + r/100)^t\\ \\\Rightarrow 2x=x(1+5/100)^t\\ \\\Rightarrow 2=(21/20)^t$

⇒ t =14.20067 year

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