Out of the total number of students studying Dentistry, what percent knows at least two languages ?

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In a medical college, there are 1600 students studying Dentistry and Homeopathy. Each student from each course knows one or more languages out of English, Hindi and Bangla. 45% of the students study Dentistry and remaining  students study Homeopathy.

Out of the students studying Dentistry boys and girls are in the ratio of 5:3 respectively.

Out of the boys studying Dentistry, 16% know only English, 10%know only Hindi and 4% know only Bangla. 24% know English as well as Hindi, 20% English as well as Bangla, 14% know Hindi as well as Bangla. Remaining boys know all three languages.

Out of the girls studying Dentistry, 20% know only English, 10% know only Hindi and 10% know only Bangla. 20% know English as well as Hindi, 20% know English as well as Bangla, 10% know Hindi as well as Bangla. Remaining girls know all three languages.

Out of the students studying Homeopathy boys and girls are in the ratio of 4:7 respectively.

Out of the boys studying Homeopathy, 20% know only English, 15% know only Hindi and 5% know only Bangla. 15% know English as well as Hindi,25% know English as well as Bangla, 10% know Hindi as well as Bangla. Remaining boys know all three languages.

Out of the girls studying Homeopathy, 15% know only English, 15% know only Hindi and 5%know only Bangla. 20% know English as well as Hindi, 20% know English as well as Bangla, 15% know Hindi as well as Bangla. Remaining girls know all three languages.

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