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What is the number of employees at this company?(SET-20/Q-19

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What is the number of employees at this company?(SET-20/Q-19

by iikarthik » Mon Nov 08, 2010 3:23 am
hi,

Pls post the answer with explanation

Q19:
At a certain company, 25 percent of the employees are male and 50 percent of the
employees are sales staff. What is the number of employees at this company?
(1) Exactly 7 of the employees at the company are males who are sales staff.
(2) There are 16 more female employees than male employees at the company.

OA is[spoiler] B....Pls Explain why D is wrong?[/spoiler]
Thanks
karthik
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by kmittal82 » Mon Nov 08, 2010 3:32 am
statement 1 doesn't give us any information on the number of female employees in the sales team

If the total number of employees is x, then all we know is x = 7 + F, where F is the number of female emplyees in the sales team. It doesn't tell us that how many femals are in the non-sales team, so we have 2 unknowns, not enough to find x

statement 2 is quite straight fwd, it says 0.25x = 0.75x + 16, enough to find x.
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by iikarthik » Mon Nov 08, 2010 4:33 pm
kmittal82 wrote:statement 1 doesn't give us any information on the number of female employees in the sales team

If the total number of employees is x, then all we know is x = 7 + F, where F is the number of female emplyees in the sales team. It doesn't tell us that how many femals are in the non-sales team, so we have 2 unknowns, not enough to find x

statement 2 is quite straight fwd, it says 0.25x = 0.75x + 16, enough to find x.
Hi,

The x be the total number of people in the company.

25% are male employees
50% employees are from the sales team.

so employees who are both male and from the sales team = 25% * 50% *x =7

Pls help me understand what went wrong in this logic?

Thanks
karthik
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by kmittal82 » Tue Nov 09, 2010 3:44 am
iikarthik wrote:
kmittal82 wrote:statement 1 doesn't give us any information on the number of female employees in the sales team

If the total number of employees is x, then all we know is x = 7 + F, where F is the number of female emplyees in the sales team. It doesn't tell us that how many femals are in the non-sales team, so we have 2 unknowns, not enough to find x

statement 2 is quite straight fwd, it says 0.25x = 0.75x + 16, enough to find x.
Hi,

The x be the total number of people in the company.

25% are male employees
50% employees are from the sales team.

so employees who are both male and from the sales team = 25% * 50% *x =7Pls help me understand what went wrong in this logic?

Thanks
karthik
Your logic assumes that all 25% of the males work in sales.
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