In a university, 80 percent of the students lived in hostel, and 60 percent of the hostel students are lucky to get a single room. If number of lucky students is 1200, then how many students were there in the university?

In a university, 80 percent of the students lived in hostel, and 60 percent of the hostel students are lucky to get a single room. If number of lucky students is 1200, then how many students were there in the university? Correct Answer 2500

Let, total No. of students = x No. of students lived in hostel = x × 80% = 0.8x No.of Lucky students = 0.8x × 60% = 0.8x × 0.6 = 0.48x According to question, 0.48x = 1200 x = (1200 ×100)/048 x = 2500
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