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In a large investment firm, 25 percent of the male employees and 30 pe

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Bunuel
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In a large investment firm, 25 percent of the male employees and 30 pe [#permalink] New post   26 Jul 2020, 07:03
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In a large investment firm, 25 percent of the male employees and 30 percent of the female employees are stockbrokers. If 60 percent of the firm’s employees are males, what is the ratio of the number of male stockbrokers to the number of female stockbrokers?

A. 6 to 5
B. 5 to 4
C. 3 to 2
D. 4 to 3
E. 5 to 2
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B
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Re: In a large investment firm, 25 percent of the male employees and 30 pe [#permalink] New post   26 Jul 2020, 07:08
Answer B

Take total number of employees = 100.
Total number of male employees = 60.
Total number of female employees = 40.
Total number of male S.B = 25% of 60 = 15.
Total number of female S.B = 30% of 40 = 12.

Ratio, male S.B : female S.B = 15 : 12 = 5 : 4
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Re: In a large investment firm, 25 percent of the male employees and 30 pe [#permalink] New post   26 Jul 2020, 07:55
Let us take the total number of employees = 100

60% of employees = Male
Therefore 40% of employees = Female

No of male employees = 60
No of female employees = 40

25% of male employees = 60 * \(\frac{25}{100}\) = 15 male stockbrokers

30% of female employees = 40*\(\frac{30}{100}\) = 12 female stockbrokers

male stockbrokers to female stock brokers = \(\frac{15}{12} \)= 5:4

Answer B
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Re: In a large investment firm, 25 percent of the male employees and 30 pe [#permalink] New post   26 Jul 2020, 08:06
Bunuel wrote:
In a large investment firm, 25 percent of the male employees and 30 percent of the female employees are stockbrokers. If 60 percent of the firm’s employees are males, what is the ratio of the number of male stockbrokers to the number of female stockbrokers?

A. 6 to 5
B. 5 to 4
C. 3 to 2
D. 4 to 3
E. 5 to 2


Using the double matrix method. Answer - B

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Re: In a large investment firm, 25 percent of the male employees and 30 pe [#permalink] New post   26 Jul 2020, 09:22
Bunuel wrote:
In a large investment firm, 25 percent of the male employees and 30 percent of the female employees are stockbrokers. If 60 percent of the firm’s employees are males, what is the ratio of the number of male stockbrokers to the number of female stockbrokers?

A. 6 to 5
B. 5 to 4
C. 3 to 2
D. 4 to 3
E. 5 to 2


using given info we can draw 2x2 matrix
----M----f----total
SB---15---12---27
NSB--45----28--73
total--60---40---100
ratio of the number of male stockbrokers to the number of female stockbrokers ; 15/12 ; 5/4
OPTION B
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Re: In a large investment firm, 25 percent of the male employees and 30 pe [#permalink] New post   26 Jul 2020, 10:04
Bunuel wrote:
In a large investment firm, 25 percent of the male employees and 30 percent of the female employees are stockbrokers. If 60 percent of the firm’s employees are males, what is the ratio of the number of male stockbrokers to the number of female stockbrokers?

A. 6 to 5
B. 5 to 4
C. 3 to 2
D. 4 to 3
E. 5 to 2

Let total no of employees be 100

Male employees = 60 ; Female employees = 40

Quote:
25 percent of the male employees and 30 percent of the female employees are stockbrokers.


So, 15 male employees and 12 female employees are stock brokers.

Quote:
what is the ratio of the number of male stockbrokers to the number of female stockbrokers?


M : S = 15 : 12 => 5 : 4, Answer must be (B)
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Re: In a large investment firm, 25 percent of the male employees and 30 pe [#permalink]
26 Jul 2020, 10:04
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