What will be the proportion of simple interest generated by a given principal at an identical rate across 6 years compared to 9 years?
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Answer: C. 2 : 3
Explanation
Simple interest is directly proportional to time when both principal and interest rate remain constant. Comparing six years to nine years creates a direct ratio of six to nine. Simplifying the ratio of six to nine by dividing both numbers by three yields two to three. Simple interest formula multiplies the principal amount by the annual rate and the time duration. Direct proportionality means that increasing the time period increases the accumulated interest by the same factor. Ratio simplification involves dividing both terms by their greatest common divisor.
Financial planners use simple interest calculations to estimate short term loan accruals. Banking applications evaluate interest over varying time horizons to determine client payout schedules. Educational finance modules introduce simple interest to teach foundational linear growth concepts. Option A represents a one to three ratio which incorrectly evaluates the time comparison. Option B suggests a one to four ratio that does not match the given time values. Option D is incorrect because the provided data is completely adequate to solve the ratio.
- Subject
- Mathematics
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- Mathematics
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- —
- Difficulty
- medium
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