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:
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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