Present worth under simple interest: Find the present value of ₹920 due in 3 years at 5% simple interest per annum.

Difficulty: Easy

Correct Answer: ₹800

Explanation:


Introduction / Context:
Present worth (under simple interest) is the amount today that will grow to the future value (amount due) when simple interest is applied for the given time and rate. The relation is A = P*(1 + r*t), so P = A / (1 + r*t).


Given Data / Assumptions:

  • Amount due A = ₹920
  • Time t = 3 years
  • Rate r = 5% per annum (simple interest)


Concept / Approach:
Compute the simple interest factor 1 + r*t = 1 + 0.05*3 = 1.15. Divide the amount by this factor to get the present worth P.


Step-by-Step Solution:
Factor = 1 + 0.05*3 = 1.15P = 920 / 1.15 = 800


Verification / Alternative check:
Grow ₹800 at 5% simple interest for 3 years: Interest = 800*0.05*3 = ₹120; Amount = ₹920, matching the due amount.


Why Other Options Are Wrong:
They do not grow to ₹920 under 5% simple interest over 3 years.


Common Pitfalls:
Using compound interest formula inadvertently; the problem explicitly uses simple interest.


Final Answer:
₹800

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