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.
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ARs. 240
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BRs. 360
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CRs. 540
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DRs. 260
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ERs. 252
Answer
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