Certain sum becomes 3 times it self at compound interest in 10 years. In how many years it becomes 9 times

  • 25 years
  • 27 years
  • 30 years
  • 20 years
  • Explanation:

    P(1 + R/100)10 = 3P 
    ∴ P(1 + R/100)10 = 3 
    Let P(1 + R/100)n = 9P 
    ∴ (1 + R/100)n = 9 
    ∴ 32 = [(1 + R/100)10]2 
    ∴ (1 + R/100)n => (1 + R/100)20 
    ∴ n = 20 Years.

     

Certain sum becomes 3 times it self at compound interest in 10 years. In how many years it becomes 9
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