Income from investing ₹3000 at 9.5% (assume at par): What annual income (in ₹) will be derived?

Difficulty: Easy

Correct Answer: None of these

Explanation:


Introduction / Context:
If we invest at par with a coupon rate, the annual income equals the coupon rate times the invested (nominal) amount. Here the calculation is straightforward multiplication by 9.5%.


Given Data / Assumptions:

  • Investment (treated as nominal at par) = ₹3000.
  • Rate = 9.5% per annum.


Concept / Approach:
Income = 0.095 * 3000 = ₹285.


Step-by-Step Solution:
Compute 10% of 3000 = 300.Reduce 0.5% of 3000 = 15.Hence 9.5% = 300 − 15 = ₹285.


Verification / Alternative check:
Direct multiplication: 3000 * 9.5 / 100 = 3000 * 0.095 = ₹285, same result.


Why Other Options Are Wrong:

  • ₹360.50, ₹350.25, ₹360.25 correspond to different percentages and do not equal ₹285.


Common Pitfalls:

  • Mistaking 9.5% for 9.05% or similar rounding errors.


Final Answer:
None of these

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