Simple Interest – Find the rate from total interest paid: Ashok borrowed Rs 15,000 for 3 years at simple interest. If the total interest paid is Rs 2,700, find the annual rate of interest (percent per annum).

Difficulty: Easy

Correct Answer: 6

Explanation:


Introduction / Context:
Total interest over a period with known principal and time under SI directly yields the annual rate by rearranging SI = P * r * t.



Given Data / Assumptions:

  • P = Rs 15000
  • t = 3 years
  • SI total = Rs 2700


Concept / Approach:
r = SI / (P * t), expressed in percent by multiplying by 100 if needed. Here options are numeric rate values already in percent units.



Step-by-Step Solution:

r = 2700 / (15000 * 3) = 2700 / 45000 = 0.06 = 6


Verification / Alternative check:

Annual interest = 15000 * 6% = 900; for 3 years = 2700 (consistent)


Why Other Options Are Wrong:

  • 18 / 9 / 7.2 / 5.4: do not match computed r.


Common Pitfalls:

  • Forgetting to divide by both P and t.


Final Answer:
6.

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