Simple Interest – Find the principal from total interest: The simple interest on a certain sum for 3 years at 14% per annum is Rs 235.20. Find the principal.

Difficulty: Easy

Correct Answer: Rs 560

Explanation:


Introduction / Context:
Given SI, rate, and time, the principal is obtained using SI = P * r * t. This is a direct inversion problem under simple interest.



Given Data / Assumptions:

  • SI = Rs 235.20
  • r = 14% = 0.14 per annum
  • t = 3 years


Concept / Approach:
P = SI / (r * t).



Step-by-Step Solution:

r * t = 0.14 * 3 = 0.42P = 235.20 / 0.42 = Rs 560


Verification / Alternative check:

Check SI = 560 * 0.14 * 3 = 560 * 0.42 = Rs 235.20 (matches)


Why Other Options Are Wrong:

  • Rs 480 / 650 / 720 / 520: do not reproduce SI = Rs 235.20 under the given rate and time.


Common Pitfalls:

  • Miscalculating decimal multiplication 0.14 * 3.


Final Answer:
Rs 560.

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