At Springfield University, there are 10000 students, and there are as many male students as female students. Each student is enrolled either in the Arts program or Science program (but not in both); $60 \%$ of the students are in the Arts program. Also, $40 \%$ of the Science students are male. To the nearest percent, what percentage of the Arts students are female?
(A) $50 \%$
(B) $52 \%$
(C) $26 \%$
(D) $65 \%$
(E) $43 \%$
Since $60 \%$ of the 10000 students are in Arts, 6000 students are in Arts, and so 4000 students are in Science.

Since $40 \%$ of the Science students are male, then $0.4(4000)=1600$ of the Science students are male.

Since half of the total of 10000 students are male, then $5000-1600=3400$ of the male students are in Arts.

Since there are 6000 students in Arts, then $6000-3400=2600$ of the Arts students are female, or $\frac{2600}{6000} \times 100 \% \approx 43.33 \%$ of the Arts students are female.

ANSWER: (E)