Simple Interest – Find principal from annual interest requirement: At a simple interest rate of 12% per annum, what principal will earn Rs 6,000 interest per year?

Difficulty: Easy

Correct Answer: Rs 50000

Explanation:


Introduction / Context:
Under SI, yearly interest equals P * r. If the required yearly interest is known, we can directly solve for P.



Given Data / Assumptions:

  • Annual SI desired = Rs 6000
  • r = 12% = 0.12 per annum


Concept / Approach:
P = (Annual SI) / r.



Step-by-Step Solution:

P = 6000 / 0.12 = Rs 50000


Verification / Alternative check:

Annual SI on Rs 50000 at 12% = 50000 * 0.12 = Rs 6000


Why Other Options Are Wrong:

  • Rs 7200 / 48543.69: numerically inconsistent.
  • Rs 72000 / Rs 60000: give different annual interests than Rs 6000 at 12%.


Common Pitfalls:

  • Treating the figure as total interest over multiple years instead of annual.


Final Answer:
Rs 50000.

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