Person B saves $2000 from each paycheck. She behaves like the average investor, and nets ~2.5% returns over a 30 year period.
Who do you think is going to wind up with more money? Person-A by a long shot.
The amount of money you save every month is undoubtedly important, but it's only half the story, and it's somewhat common knowledge. The way you invest your money is the other half of the story, and this is where most people seem to trip up. Personally, my parents saved a ton of money because it's common sense that it will lead to future prosperity. However, their investment strategy and track records are abysmal. They buy near the peak, sell during the recession, and sit out of the markets entirely during the recovery. They could have easily ended up with a retirement portfolio that's 2-4x larger than what they ended up with. I've tried telling them numerous times to approach investing differently, but they still refuse to listen. If there's anything people need to be educated on, it's on investment strategy.
https://www.forbes.com/sites/advisor/2014/04/24/why-the-aver...
https://www.investopedia.com/ask/answers/042415/what-average...
http://www.bankrate.com/calculators/retirement/investment-go...