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Least number of complete years for a sum at r% compound interest to more than double or treble

The same question, asked 2 times: CDS 2 2019*, CDS 1 2025. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2019

    44
    What is the least number of complete years in which a sum of money put out at 40% annual compound interest will be more than trebled ?

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  2. Question 2

    CDS 1 2025

    49
    What is the least number of complete years in which a sum of money put out at 20% compound interest (compounded annually) will be more than doubled ?

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