Free SAT Practice Question

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ID: SAT-MATH-PSDA-018
Section: SAT Math - Problem Solving & Data Analysis (PS&DA)
Topic: Percentages
Difficulty level: Hard

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An investor invested two equal sums of money for 1 year. The first sum was invested at the rate of \(R\%\) annual rate of interest and the interest compounding was half-yearly. The second sum was invested at the rate of \(r\%\) annual rate of interest and the interest compounding was quarterly. If at the end of the year, the amounts he received are equal, what is the value of \(R\) in terms of \(r\)?

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