Present worth at simple interest: Find the present worth of Rs. 264 due in 2 years when simple interest is reckoned at 5% per annum.

Difficulty: Easy

Correct Answer: Rs. 240

Explanation:


Introduction / Context:
Present worth (PW) is the current value of a future sum under simple interest. The relation is PW = S / (1 + r * t), where S is the future amount, r is annual simple interest rate, and t is time in years.


Given Data / Assumptions:

  • S = Rs. 264 (due after 2 years).
  • r = 5% per annum.
  • t = 2 years.


Concept / Approach:
Apply PW formula directly: divide the future amount by (1 + r t). Ensure r is expressed as a decimal and time is in years.


Step-by-Step Solution:

1 + r t = 1 + 0.05 * 2 = 1.10.PW = 264 / 1.10 = Rs. 240.


Verification / Alternative check:
Re-accumulating PW at 5% for 2 years: 240 * (1 + 0.10) = 240 * 1.10 = 264; consistent.


Why Other Options Are Wrong:
Rs. 260 and Rs. 252 are too high; Rs. 360 and Rs. 540 are unrelated to discounting.


Common Pitfalls:
Multiplying instead of dividing by (1 + r t); using compound interest when simple interest is specified.


Final Answer:
Rs. 240

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