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Dick and Jane each saved \(\$3,000\) in \(1989.\) In \(1990\) Dick saved \(8\) percent more than in \(1989,\) and togeth

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by Gmat_mission » Wed Mar 24, 2021 8:04 am

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Dick and Jane each saved \(\$3,000\) in \(1989.\) In \(1990\) Dick saved \(8\) percent more than in \(1989,\) and together he and Jane saved a total of \(\$5,000.\) Approximately what percent less did Jane save in \(1990\) than in \(1989?\)

A. \(8\%\)
B. \(25\%\)
C. \(41\%\)
D. \(59\%\)
E. \(70\%\)

Answer: C

Source: GMAT Prep
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Source: — Problem Solving |

Gmat_mission wrote:
Wed Mar 24, 2021 8:04 am
Dick and Jane each saved \(\$3,000\) in \(1989.\) In \(1990\) Dick saved \(8\) percent more than in \(1989,\) and together he and Jane saved a total of \(\$5,000.\) Approximately what percent less did Jane save in \(1990\) than in \(1989?\)

A. \(8\%\)
B. \(25\%\)
C. \(41\%\)
D. \(59\%\)
E. \(70\%\)

Answer: C

Source: GMAT Prep
In 1990, Dick saved 8 percent more than in 1989
So, Dick's savings in 1990 = 1.08($3000)
= $3240

In 1990, Dick and Jane saved a total of $5,000.
So, Jane's savings = $5,000 - $3240
= $1760

Approximately what percent less did Jane save in 1990 than in 1989?
In 1989, Jane saved $3000
$3000 - $1760 = $1240

ASIDE: We COULD convert $1240/$3000 to a percent, but that's no fun!
A faster approach is to use the answer choices to our advantage (ALWAYS check the answer choices before performing any calculations)
Notice that $1500/$3000 = 1/2 = 50%
So, $1240/$3000 must be a little less than 50%

Check the answer choices . . . . only C works

Answer: C
Brent Hanneson - Creator of GMATPrepNow.com
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