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MHT CET202314 May 2023Morning ShiftMathematicsBasics of MathematicsActual

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 ₹

Options

  1. A1600 2
  2. B3200 2
  3. C12800 2
  4. D6400 2

Correct answer

D. 6400 2

Step-by-step solution

Here, Amount (A)=₹ 400 Principal (P)=₹ 200, N=6 years aligned & A-P (1+ R 100 )^N & 400=200 (1+ R 100 )^6 & (1+ R 100 )^6=2 & 1+ R 100 =2^ 1 6 & aligned A & =P (1+ R 100 )^N & =200 (1+ R 100 )³³ & =200 (2^ 1 6 )³³ & =200 (2^5 2^ 1 2 ) & =200(32 2 ) & =6400 2 aligned aligned

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