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Difficulty:
65%
(hard)
Question Stats:
51% (01:54) correct
49%
(01:53)
wrong
based on 77
sessions
History
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On a certain date, Jack invested $13,000 at x percent simple annual interest and a different amount at y percent simple annual interest. If he earned same amount of interest from two investments, what amount did Jack invest at y percent simple annual interest?
(1) The amount of interest earned by Jack from the investment that pay x% interest was $390.
(2) The ratio of x to y is 3 to 2.
_________________
(1) The amount of interest earned by Jack from the investment that pay x% interest was $390.
(2) The ratio of x to y is 3 to 2.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
https://gmatclub.com/forum/data-sufficiency-ds-141/
https://gmatclub.com/forum/data-sufficiency-ds-141/
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(1) The amount of interest earned by Jack from the investment that pay x% interest was $390.
From this we can only work out that \(x = 3\)%: \(13 000 * \frac{x}{100} = 390\)
\(130x = 390\)
\(x = 3\)
Insufficient
(2) The ratio of x to y is 3 to 2.
Let the amount invested at y% = \(a\)
\(13 000 * \frac{3x}{100} = a * \frac{2x}{100}\)
\(390x = \frac{2ax}{100}\)
\(39 000x = 2ax\)
\(19 500 = a\)
Sufficient
Answer B
From this we can only work out that \(x = 3\)%: \(13 000 * \frac{x}{100} = 390\)
\(130x = 390\)
\(x = 3\)
Insufficient
(2) The ratio of x to y is 3 to 2.
Let the amount invested at y% = \(a\)
\(13 000 * \frac{3x}{100} = a * \frac{2x}{100}\)
\(390x = \frac{2ax}{100}\)
\(39 000x = 2ax\)
\(19 500 = a\)
Sufficient
Answer B
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