hello, Neeta both ayurveda and homeopathy are very distinct and separate fields of medicines with its own pros and cons

You can check out this link for detailed info on cutoff for BHMS and BAMS: https://www.careers360.com/question-neet-cut-off-of-2017-for-government-bams-or-bhms

BAMS colleges have a relatively lower NEET cutoff than BHMS colleges. 

For pros and cons between the two lets try pointing ou the following

• For BAMS course structure would include both ancient, midieval and modern medicine while for BHMS only modern medicine
• Homeopathy is more experimental than ayurveda, so ayurvedic treatment have a lower healing time than homeopathy for some cases
• Based on effectiveness of treatment, doctors from both fields can gain reputation and respect
• ayurvedic medicines are highly expensive so patients density is less and doctor's cut is lower too