Simple Interest — A sum becomes double in 10 years. Find the annual rate of simple interest.

Difficulty: Easy

Correct Answer: 10%

Explanation:


Introduction / Context:
Doubling under simple interest implies the interest earned equals the principal over the given time.



Given Data / Assumptions:

  • A = 2P in t = 10 years.
  • Simple interest applies.


Concept / Approach:
If A = 2P then SI = P. With SI = P * r * t, solve for r.



Step-by-Step Solution:
P = P * r * 10 ⇒ r = 1 / 10 = 0.10 = 10%.



Verification / Alternative check:
At 10% for 10 years, SI = P; amount = 2P.



Why Other Options Are Wrong:
1% and 5% are too small; 20% is too large.



Common Pitfalls:
Applying compound interest ideas; stay with SI linearity.



Final Answer:
10%

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