In day trading, you make more trades. Say a forex day trader takes 1,000 trades per year. Now, the trader needs just a small edge on every single trade – and can reach 50% or even 150% increase on his capital.
Sounds unrealistic? Well, imagine a fruit trader. He also starts with $1,000. Every day, he invests his capital into fruit and sells it on the market. In this sense, he makes 365 trades a year. On some days, he will lose money, but on most days, he will earn money. At the year's end, he would have earned enough to live from it. It is likely that he would have ended up with much more than $2000 and so increasing a starting capital by more than 100% over the course of a year now sounds much more achievable.