https://www.cia.gov/library/publications/the-world-factbook/geos/in.html
Religions:
Hindu 80.5%, Muslim 13.4%, Christian 2.3%, Sikh 1.9%, other 1.8%, unspecified 0.1% (2001 census)
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http://www.hinduwebsite.com/hinduism/h_buddhism.asp
"Both Hinduism and Buddhism originated in the Indian subcontinent and share a very long, but rather
peculiar and uncomfortable relationship, which in many ways is comparable to that of Judaism and Christianity. The Buddha was born in a Hindu family, just as Christ was born in a Jewish family."
Hinduism and Buddhism are like Shia and Shiite in Islam, different interpretations, I perhaps was wrong to use "Buddhism" as collective religion meaning all those that are variations of it, not sure what the right word like Islam would have united different parts into one, perhaps you could share it from your fountain of infinite wisdom?