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Question: Answered & Verified by Expert
Mrs. Rajni deposited Rs. 10,0000 in a bank that pays $4 \%$ interest compounded continuously then the amount she gets after 10 years is Rs. approximately.
(given $e^{(0.4)}=1.49182$ )
MathematicsLimitsMHT CETMHT CET 2022 (10 Aug Shift 2)
Options:
  • A $15150$
  • B $16000$
  • C $14918$
  • D $13000$
Solution:
2942 Upvotes Verified Answer
The correct answer is: $14918$
$\begin{aligned} & \because A=P\left(1+\frac{R}{100}\right) \\ & \Rightarrow A=10000\left(1+\frac{4}{100}\right)^{10}=10000 \times e^{\frac{4}{100} \times 10} \\ & \Rightarrow A=10000 \times e^{0.4}=14918 \quad\left[\because \lim _{x \rightarrow 0}(1+x)^{\frac{1}{x}}=e\right]\end{aligned}$

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