The money invested in a company is compounded continuously. If $₹ 200$ invested today becomes $₹ 400$ in 6 years, then at the end of 33 years it will become ₹

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Aicharya · Accepted Answer

Here, Amount $(A)=₹ 400$ Principal $(P)=₹ 200, N=6$ years $\begin{aligned} & A-P\left(1+\frac{R}{100}ight)^N \ & \Rightarrow 400=200\left(1+\frac{R}{100}ight)^6 \ & \Rightarrow\left(1+\frac{R}{100}ight)^6=2 \ & \Rightarrow 1+\frac{R}{100}=2^{\frac{1}{6}} \ & \begin{aligned} A & =P\left(1+\frac{R}{100}ight)^N \ & =200\left(1+\frac{R}{100}ight)^{33} \ & =200\left(2^{\frac{1}{6}}ight)^{33} \ & =200\left(2^5 \cdot 2^{\frac{1}{2}}ight) \ & =200(32 \sqrt{2}) \ & =6400 \sqrt{2} \end{aligned} \end{aligned}$

The money invested in a company is compounded continuously. If $₹ 200$ invested today becomes $₹ 400$ in 6…

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