# Free SAT Practice Questions

Question 1 of 1
ID: SAT-PSDA-9
Section: Math - Problem Solving & Data Analysis
Topic: Compound Interest
Difficulty level: Hard

(Practice Mode: Single selected Question » Back to Overview)

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)

A$2r$
B$\frac{r^2}{800}+r$
C$\frac{r^2}{400}+r$
D$r^2+\frac{r}{800}$