Source: Official Guide for the GMAT 12th Ed. Section 6.3 Data Sufficiency; #78

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# A total of \$60,000 was invested for one

A total of \$60,000 was invested for one year. Part of this amount earned simple annual interest at the rate of x percent per year, and the rest earned simple annual interest at the rate of y percent per year. If the total interest earned by the \$60,000 for that year was \$4,080, what is the value of x? (1) x = 3y/4 (2) The ratio of the amount that earned interest at the rate of x percent per year to the amount that earned interest at the rate of y percent per year was 3 to 2. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient., Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient., BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient., EACH statement ALONE is sufficient., Statements (1) and (2) TOGETHER are not sufficient.

### 1 Explanation

2 Mike McGarry, Magoosh Tutor

Nov 12, 2012 • Comment

Lucas Fink, Magoosh Tutor

Note: There's a small error in this video. The equation we give for statement two should be A / (60000 - A) = 3 / 2 rather than A(x/100) / (y/100)(60000 - A) = 3 / 2

Dec 24, 2013 • Reply

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