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by grandh01 » Sun Aug 05, 2012 5:55 pm
If Jack's and Kate's annual salaried in
1985 were each 10 percent higher
than their respective annual salaries
in 1984, what was Jack's annual
salary in 1984?
(1) The sum of Jack's and Kate's
annual salaries in 1984 was
$50,000.
(2) The sum of Jack's and Kate's
annual salaries in 1985 was
$55,000.
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Source: — Data Sufficiency |

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by Anurag@Gurome » Sun Aug 05, 2012 9:20 pm
grandh01 wrote:If Jack's and Kate's annual salaried in
1985 were each 10 percent higher
than their respective annual salaries
in 1984, what was Jack's annual
salary in 1984?
(1) The sum of Jack's and Kate's
annual salaries in 1984 was
$50,000.
(2) The sum of Jack's and Kate's
annual salaries in 1985 was
$55,000.
Let us assume that Jack's and Kate's annual salary in 1984 = J and K respectively.

(1) J + K = $50,000
One equation, two variables; NOT sufficient.

(2) In 1985 Jack's salary = J + 0.1J = 1.1J
In 1985 Kate's salary = K + 0.1K = 1.1K
1.1J + 1.1K = $55,000
1.1(J + K) = 55,000
J + K = 50,000; same as statement 1; NOT sufficient.

Combining (1) and (2), we have the same info; NOT sufficient.

The correct answer is E.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
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