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Free SAT Practice Question

Question 1 of 1
ID: SAT-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)

A2r
B\frac{r^2}{800}+r
C\frac{r^2}{400}+r
Dr^2+\frac{r}{800}
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