If 60 percent of the employees at Company X are female, does Company X have more than 100 female employees?

(1) Company X has more than 150 employees.

(2) Company X has 74 more female employees than male employees.

## employees

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st 1)company has 151 empViper83 wrote:If 60 percent of the employees at Company X are female, does Company X have more than 100 female employees?

(1) Company X has more than 150 employees.

(2) Company X has 74 more female employees than male employees.

60% means somevalue less than 100 as we know 151/2 is 75 only

if company has 500 emp

60% means some value more than 100

dual case

A insufficient

2)we may think of supposing in this way 1 male emp and 74 females

but that will voilate 60% case,

when there is

F=M+74

ie M=F-74

Total=M+F

female/total x 100 =60

F/F-74+F x 100 =60

F/F-34 =6/5

5F=6F-204

F=204>100

so B

We can find value of Female which safies both condition

60% of total

female=74+1

only when female greater than 100 (ie 202)

so should be B

Otherwise both condition wont be met

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First I simplified the prompt,as I almost always do.

Let the total no of employees =x

Then the question is "is 60/100 *x >100?"

or " x> 1000/6"

or " x> 166.67". The question is talking about integers so the rephrased question becomes " is x >= 167"

See I added equal to because it is allowable as per the equation "x>166.67"

So the real question is " Does the company have 167 or more employees?"

1) x>150.

X could be 160 or 170.

If 160 the answer to the question " Does the company have 167 or more employees?" is NO

If 170 then the answer is YES.

Hence INSUFFICIENT

2) If the number of males employees is m and the number of female employees is f,then f=m+74.

So the total no of employees = m+f = 2m+74.

60/100 (2m+74) = m+74

3/5(2m+74)=m+74

6m+222 = 5m+ 370

m= 148

So total no of employees = 2*148+74= 296+74=370

Since x=370

and we can say in a definitive way whether the no of employees in the company if 167 or more.

This statement is sufficient.

Hence B