Simple Interest – Rate to triple the principal: At what annual simple interest rate will a sum of money become three times the principal in 25 years?

Difficulty: Easy

Correct Answer: 8%

Explanation:


Introduction / Context:
Tripling under SI means the interest equals 2P over the period. The linear relation SI = P * r * t lets us directly solve for r.



Given Data / Assumptions:

  • Target amount = 3P
  • Time t = 25 years
  • Simple interest model


Concept / Approach:
If A = 3P, then SI = A - P = 2P. Therefore P * r * t = 2P → r = 2 / t.



Step-by-Step Solution:

r = 2 / 25 = 0.08 = 8% per annum


Verification / Alternative check:

Check: A = P * (1 + 0.08 * 25) = P * (1 + 2) = 3P


Why Other Options Are Wrong:

  • 5% / 6% / 7.5% / 12%: do not satisfy r = 2 / 25.


Common Pitfalls:

  • Interpreting tripling as interest = 3P (it is 2P).


Final Answer:
8% per annum.

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