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 savingsLet'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 savingsNotice 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 decreaseHere'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: CYou 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.