Twenty percent of the employees of a certain company have stock option

Question

Twenty percent of the employees of a certain company have stock options. Among the employees who do not have stock options, 28 were not eligible for the options and 20 refused them. How many employees have stock options?

A. 8
B. 10
C. 12
D. 15
E. 24

A. 8
B. 10
C. 12
D. 15
E. 24

This is a  PS Butler Question

Check the links to other Butler Projects: 
 
   Data Sufficiency Butler 
   Critical Reasoning Butler  
   Sentence Correction Butler  
   Reading Comprehension Butler  
   Integrated Reasoning Butler

hinasingh · Answer

Twenty percent of the employees of a certain company have stock options. Among the employees who do not have stock options, 28 were not eligible for the options and 20 refused them. How many employees have stock options?
let x be the number of employees
0.2x have stock options and 0.8x don't have stock options
0.8x = 28 + 20 = 48
or x = 48/0.8 = 60
=> x = 60
So number of employees who have stock options are 0.2*60 = 12
Answer C

ScottTargetTestPrep · Answer

We can let the number of people at the company equal n, so the number of people who do not have stock options is 0.8n. So, we can create the following equation:

0.8n = 28 + 20

0.8n = 48

n = 60

Thus, 0.2 x 60 = 12 people have stock options.

Answer: C

ThatDudeKnows · Answer

If (i) the instinct is to set up an algebraic equation and introduce a variable that doesn't appear in the question and (ii) the answer choices are just numbers, there's a great chance you can use Plugging In The Answers (PITA). I like trying B and D.

B: 10 have stock options, so 50 total employees. 10 have + 28 not eligible + 20 refused = 58 total. That's too many.

D: 15 have stock options, so 75 total employees. 15 have + 28 not eligible + 20 refused = 63 total. That's not enough.

We want something between "too many" and "not enough," so it has to be C.

Answer choice C.

ThatDudeKnowsPITA
ThatDudeKnowsPluggingInTheAnswers

AkshayDang · Answer

0.2x have stock options and 0.8x don't have stock options
0.8x = 28 + 20 = 48
or x = 48/0.8 = 60
=> x = 60

0.2 X = 12

Twenty percent of the employees of a certain company have stock option

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

Twenty percent of the employees of a certain company have stock option

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards