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
- A1600 2
- B3200 2
- C12800 2
- 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