Ken bought a batch of goods that he hoped to earn a $$50 \%$$ profit after selling it. On the first day, he sold $$70 \%$$ of his goods at a profit of $$50 \%$$. On the second day, he sold all the remaining goods at a discount. If the total profit was $$82 \%$$ of the planned profit, what would be the discount rate on the second day? 
Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts