Charita is from the Sanskrit Caritā. Ramacharitamanas by Tulsidas 1574 CE Awadhi Ramayana.
Charita does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
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In Pythagorean numerology the letters of Charita reduce to 6, The Nurturer. This is a traditional interpretive system, not a factual claim about the name.