All of the students at a college are majoring in Urdu, Persian, or both. 73% of the students are Urdu majors, & 62% are Persian majors. If there are 200 students, how many of them are majoring in both Urdu & Persian?
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70 students are majoring in both, Urdu & Persian
If 73% of the students are Urdu majors, we know that 27% are not Urdu majors. By the same reasoning, 38% are not Persian majors, because 62% of the students do major in Persian.
So: 27 + 38 = 65
65% of the students are not majoring in both Urdu & Persian, so 35% are double majors, a total of 70 students.
70
70
n(Urdu) = 73% = 146 Students
n(Persian) = 62% = 124 students
n(Total) = 200 students
so, 200 = 146 + 124 – x
x = 70 = 35% students major in both urdu and persian
70