At a certain organization, 10 percent of the male employees are manage

Question

At a certain organization, 10 percent of the male employees are managers and 40 percent of the female employees are not managers. If 30 percent of all the employees are managers, what percentage of the managers is male?

A) 20
B) 331⁄3
C) 50
D) 60
E) It cannot be determined from the information given

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Official Answer

A

A) 20
B) 331⁄3
C) 50
D) 60
E) It cannot be determined from the information given

yazadsarkari · Answer

Answer : D = 60

X + Y = 100
X + 6Y = 300

5Y = 200
Y = 40

Therefore X is 60

yazadsarkari · Answer

Answer : D = 60

X + Y = 100
X + 6Y = 300

5Y = 200
Y = 40

Therefore X is 60

Bunuel   KarishmaB

Please advice

attiliogiglio · Answer

This overlapping question is asking about what % of the managers are male. So the first I do (it works for me) is the overlapping 2 sets schema, and then second, calculate the variable asked.
 Male Female Total 
Manager 10% 60% 30%
Not Manager 90% 40% 70%
Total M F 100%

0.1M + 0.6F = 0.3M + 0.3F
F= 2/3m
1M + (6*2)/3M = 0.3M + (6*3)/3M
1M + 4M = 3M + 2M
5M = 5m

Ratio = Male/Managers = 1/5 = 20%

Kaifbinarshad · Answer

Let the total number of employees be 100.
Then managers=30 employees

Let the number of male employees be X and that of female be Y then we have
X+Y=100............(i)

Now 10 male employees are managers=0.1x
And 60 females are the same=0.6x
And it is given that total number of managers are 30
0.1X+0.6Y=30 (multiplying both 
 sides by 100,we get)
X+6Y=300...........(ii)..
Now subtraction eq(ii) from (i),we get
5Y=200 or Y=40
Now X=60 which means 6 of 'em are managers which is 6/30×100=20% of managers are male.

Kaif

hr1212 · Answer

Let total male employees be M and total female employees be F

Male managers = 10% of M = 0.1M
Female managers = (100 - 40 = 60)% of F = 0.6F

Total employees = M + F
Total managers = 0.1M + 0.6F

Total Managers = 30% of Total Employees
0.1M + 0.6F = (30/100) (M + F)
M + 6F = 3M + 3F
3F = 2M

What percent managers is male?

Male managers = 0.1M ---- (1) 
Total managers = 0.1M + 0.6F ---- (2)
3F = 2M ---- (3)

Percentage required = 
Male managers * 100 / Total managers = (0.1M * 100)/(0.1M + 0.6F) = 100M/(M + 6F) = 100M/(M + 4M) = 100M/5M = 20%

Answer: A

At a certain organization, 10 percent of the male employees are manage

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At a certain organization, 10 percent of the male employees are manage

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