Free SAT Practice Question

Question 1 of 1
ID: SAT-LEG-PSDA-9
Section: Math - Problem Solving & Data Analysis
Topic: Compound Interest
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 $r$? (Calculator is allowed)

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