What is the best way and cost to Badaling Great Wall if I am staying in Jin qiao International Apartment.

From where you stay, you can take a taxi to reach Chongwenmen Station of subway line 2 to take the subway line 2 to reach Jishuitan Station. Then you can walk to reach Deshengme Bus Station where you can find the bus line 919 to take you to reach the Badaling directly.
The subway fare from Chongwenmen to Jishuitan is 2RMB. The taxi fare from your hotel to Chongwenmen is around 20 to 25RMB. The bus 919 costs about 12RMB.