Simple Interest – Find the rate given total interest: Yogesh borrowed Rs 12,000 at simple interest for 5 years. If he paid Rs 3,600 as simple interest, find the annual rate of interest (percent per annum).

Difficulty: Easy

Correct Answer: 6

Explanation:


Introduction / Context:
With principal, time, and total SI known, the SI rate is r = SI / (P * t). This is a standard direct-calculation problem under simple interest assumptions.



Given Data / Assumptions:

  • P = Rs 12000
  • t = 5 years
  • SI = Rs 3600


Concept / Approach:
Compute r as a pure number (fraction), then read as percentage consistent with the options provided.



Step-by-Step Solution:

r = 3600 / (12000 * 5) = 3600 / 60000 = 0.06 = 6


Verification / Alternative check:

Annual SI = 12000 * 6% = 720; total over 5 years = 3600 (matches)


Why Other Options Are Wrong:

  • 5 / 8 / 10 / 7.5: do not equal the computed rate.


Common Pitfalls:

  • Mistaking the units, e.g., writing 0.06% instead of 6%.


Final Answer:
6.

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