75 miles per hour

Puzzle Question:

All of the students at a college are majoring in psychology, business, or both. 73% of the students are psychology majors, & 62% are business majors.
If there are 200 students, how many of them are majoring in both psychology & business?

Answer --

Solution of Puzzle:

70 students are majoring in both, psychology & business
If 73% of the students are psychology majors, we know that 27% are not psychology majors. By the same reasoning, 38% are not business majors, because 62% of the students do major in business. So: 27 + 38 = 65
65% of the students are not majoring in both psychology & business, so 35% are double majors, a total of 70 students.

Toughness:

Intermediate