A manufacturing company employs staff who work either on full time basis or on part time basis. The ratio of number of males who work on part time basis to the number of males who work on full time basis is 4 to 5 . And the ratio of number of females who work on part time basis to the number of males who work on part time basis is 3 to 2 . If the ratio of the number of females who work on full time basis to the number of males who work on full time basis is $3: 1$, what is the ratio of number of females who work on part time basis to the number of females who work on full time basis?.

(A) 3 to 2
(B) 3 to 5
(C) 4 to 5
(D) 2 to 5
(E) 6 to 5