If 25% of a company's employees are women older than 30, what percent

Question

If 25% of a company's employees are women older than 30, what percent of the men employees are 30 or younger?

(1) Half of the women employees are 30 or younger.

(2) 35% of the company's employees are men of 30 or younger.

Bunuel · Accepted Answer

Official Solution:

If 25% of a company's employees are women older than 30, what percent of the men employees are 30 or younger? 
 
Let's assume that there are a total of 100 employees in the company. Thus, there are 25 women who are older than 30.
 
(1) Half of the women employees are 30 or younger. 
 
Hence, the remaining half of women employees are older than 30. Therefore, 25 women which are older than 30, account for half of the women employees, which means that there are  2*25=50  women employees and  100-50=50  men employees. But we still don't know how many from these 50 men are 30 or younger. Not sufficient.
 
(2) 35% of the company's employees are men of 30 or younger. 
 
Hence, there 35 men who are 30 or younger. We still don't know the total number of men employees. Not sufficient.
 
(1)+(2) From (1) we have that there are total of 50 men employees and from (2) we have that 35 men are 30 or younger. Therefore,  \frac{35}{50}*100=70 \%  of the men employees are 30 or younger. Sufficient.

Answer: C

Capricorn369 · Answer

C is indeed the right answer.

To find the "percent of the men employees 30 or younger", we need to find the percentage of men employees in the company.
Option 1 - gives information that 25% women employees are 30 or younger. It means, total women employee in the company is 50%. 
Hence, total men employee in the company is 50%.
Option 2 - gives information that 15% (50%-35%) men employees are older than 30. 
Hence, percent of the men employees are 30 or younger = 35/50 = 70%

Answer is C. HTH. Cheers!

ziko · Answer

The best approach for me in such situations is drawing a table. So in one axes we have two groups 30- and 30+ in another axes we have gender M vs W. ! statement tels us that half of the women are 30- which is equal to 25% out of all employees - not sufficient, second statement tells us that 35% of employees are 30- , we still don't know how much percent is 35% out of all men. Combining both statements we see that 35% out of 50% is 70%. Answer is C.

hdwnkr · Answer

If 25% of a company's employees are women older than 30, what percent of the men employees are 30 or younger?

(1) Half of the women employees are 30 or younger.
(2) 35% of the company's employees are men of 30 or younger.

Clearly, each statement alone is insufficient
Combining the two and using the data from the question

25% of company employees = women older than 30
No of women less than or equal to 30 = 50% of women. So 50% of women are more than 30 = 25% of company employees.
So total women employees = 50%

No. of men employees = 50%. 35% of which are equal or younger than 30. So 15% are older than 30.

AKY13 · Answer

Posting a tabulated form - Given, W/M.....>30.......<=30 W..........25...........a.........100-m M............b...........x............m .......................................100 Required, x/m * 100 = ? 1) W/M...... >30.............<=30 W............25...........0.5(100-m).............(100-m) M..............b..................x.........................m ..............................................................100 Implies 25 = 0.5(100-m) Or m = 50 & (100-m) = 50 Table becomes as below W/M.......>30............<=30 W............25................50.................50 M................................x...................50 ......................................................100 No info of x, hence insuff. 2) W/M.......>30..............<=30 W............25............0.5(100-m)............(100-m) M...............................x = 35....................m ..............................................................100 But no info about about m, hence insuff. Together (1 & 2), m = 50, x = 35 W/M.......>30...........<=30 W............25...............50...................50 M...............................35...................50 .......................................................100 35/50 * 100 = 70% Answer: C Wasn't able to create proper tables.

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If 25% of a company's employees are women older than 30, what percent

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If 25% of a company's employees are women older than 30, what percent

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