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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%

I did in usual way.. pretty lengthy one...

Dick -> increased by 8% of 3000 = 240 , so Dick share in 1990 will be 3240.
Jane --> decreased by x% of 3000, so Jane share in 1990 will be \(3000(1- x/100 )\)

\(3240 + 3000 (1- x/100 ) = 5000\)

\(1- x/100 = 166 / 300\)

x= 41% (approx)
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given jane 1989 - 3000
dick 1989 - 3000

1990 = D + J = 5000

dick 8 percent more = 3000 * 8/100 = 240 >> 3000 + 240 = 3240

jane = 5000-3240 = 1760

to find the decrease new - old/old * 100

1760 - 3000 / 3000 * 100

1240 / 3000 * 100 = 124/3 = 41% approx

Answer Choice C
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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%

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

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This is a great example of a question where estimating can save you a ton of time. The answer choices are pretty spread out, so you don't need to be accurate with your calculations. Accuracy takes time and time is your precious resource on the GMAT.

First, estimate the amount Dick saved in 1990. No need to calculate an 8% increase - round up to a 10% increase - estimate that Dick saved $3,300. If Dick saved $3,300, Jane saved $1,700. What is the percentage decrease from $3,000 to $1,700? Use benchmarks to eliminate answers. Is the percent decrease 50% or greater? No - that would result in Jane saving $1,500. Eliminate D and E.

Is the reduction to $1,700 greater than a 25% decrease? Yes! A 25% decrease would be $2,250. Eliminate A and B

C is the only answer left standing.

Think before you Math.
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This is a great percent change problem that tests your ability to work with multiple actors and track changes across time periods. Let's break it down together.

Here's what you need to see:

Both Dick and Jane saved \($3,000\) each in 1989. In 1990, Dick saved 8% more than his 1989 amount, and together they saved \($5,000\) total in 1990. We need to find what percent less Jane saved in 1990.

Step 1: Calculate Dick's 1990 savings
Let's think about this - Dick saved 8% more than his 1989 amount:
- Dick's 1989 savings: \($3,000\)
- 8% increase means: \($3,000 \times 0.08 = $240\) extra
- So Dick's 1990 savings: \($3,000 + $240 = $3,240\)

Step 2: Find Jane's 1990 savings
Notice how we can use the total to find Jane's amount:
- Total 1990 savings = \($5,000\)
- Dick's 1990 savings = \($3,240\)
- Therefore, Jane's 1990 savings = \($5,000 - $3,240 = $1,760\)

Step 3: Calculate Jane's percentage decrease
Here's the critical insight - we compare the decrease to her original 1989 amount:
- Jane's decrease: \($3,000 - $1,760 = $1,240\)
- Percentage decrease: \(\frac{$1,240}{$3,000} \times 100\% = 41.33\%\)

Rounding to the nearest whole percent gives us approximately 41%.

Answer: C

You can check out the step-by-step solution on Neuron by e-GMAT to master the systematic approach for handling percent change problems with multiple variables. The full solution reveals common traps to avoid and shows you how this pattern applies to other GMAT questions. You can also explore other GMAT official questions with detailed solutions on Neuron for structured practice here.
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