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A manufacturing company employs staff who work either on full time bas
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19 Mar 2025, 00:50
19 Mar 2025, 00:50
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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
(A) 3 to 2
(B) 3 to 5
(C) 4 to 5
(D) 2 to 5
(E) 6 to 5
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Re: A manufacturing company employs staff who work either on full time bas
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23 Mar 2025, 04:45
23 Mar 2025, 04:45
Expert Reply
OFFICIAL EXPLANATION
Let the number of males \& the number of females who work on part time basis be $\(M_p \& F_p\)$ respectively \& the number of males to the number of females who work on full time basis be $\(\mathrm{M}_{\mathrm{F \& \mathrm{~F}_{\mathrm{F\)$
We are given $\(M_P: M_F=4: 5 \ldots .(1), F_P: M_P=3: 2 \ldots .$. (2) \& $F_F: M_F=3: 1 \ldots\)$ (3) Combining the three ratios (1), (2) \& (3), we get $\(M_p: M_F: F_P: F_F=4: 5: 6: 15\)$
Hence the ratio of the number of females who work on part time basis to the number of females who work on full time basis i.e. $\(F_P: F_F=6: 15=2: 5\)$, so the answer is (D).
Let the number of males \& the number of females who work on part time basis be $\(M_p \& F_p\)$ respectively \& the number of males to the number of females who work on full time basis be $\(\mathrm{M}_{\mathrm{F \& \mathrm{~F}_{\mathrm{F\)$
We are given $\(M_P: M_F=4: 5 \ldots .(1), F_P: M_P=3: 2 \ldots .$. (2) \& $F_F: M_F=3: 1 \ldots\)$ (3) Combining the three ratios (1), (2) \& (3), we get $\(M_p: M_F: F_P: F_F=4: 5: 6: 15\)$
Hence the ratio of the number of females who work on part time basis to the number of females who work on full time basis i.e. $\(F_P: F_F=6: 15=2: 5\)$, so the answer is (D).
gmatclubot
Re: A manufacturing company employs staff who work either on full time bas [#permalink]
23 Mar 2025, 04:45
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