AAPL wrote:GMAT Prep

In a certain senior class, 72 percent of the male students and 80 percent of the female students have applied to college. What fraction of the students in the senior class are male?

1) There are 840 students in the senior class.
2) 75 percent of the students in the senior class have applied to college.

OA B

Say there are x numbers of male students, y numbers of female students; thus, there are x + y numbers of students.

Thus, the percent of the students in the senior class who have applied to college = 72% of x + 80% of y = 0.72x + 0.8y

We have to get the value of x /(x + y).

Let's take each statement one by one.

1) There are 840 students in the senior class.

=> x + y = 840. But we can't get the value of x /(x + y). Insufficient.

2) 75 percent of the students in the senior class have applied to college.

=> 0.72x + 0.8y = 75% of (x + y)

0.72x + 0.8y = 0.75x + 0.75y

0.05y = 0.03x

y = 3x/5

Thus, the value of x /(x + y) = the value of x /[x + (3x/5)] = 5/8. Sufficient.

The correct answer: B

Hope this helps!

-Jay
_________________
Manhattan Review

Locations: Manhattan Review Bangalore | GMAT Prep Chennai | GRE Prep Himayatnagar | Hyderabad GRE Coaching | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.