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A sum of money under compound interest doubles itself in 4 years. In how many years will it become 16 times itself? 

 

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Let the initial amount be P.
If it doubles in 4 years, then:

This is a geometric progression where the amount doubles every 4 years. Therefore:

  • In 4 years → 2P

  • In 8 years → 4P

  • In 12 years → 8P

  • In 16 years → 16P?

It will take 16 years for the amount to become 16 times under compound interest.

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Saumya Singh

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