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Percentile problem

Expert replies
by yvonne0923 » Sun Mar 13, 2011 3:21 pm
Of the 2,000 employees who work at company ABC, 80% are factory workers. If the number of factory workers will be reduced by 1/4, what percent of the total number of remaining employees would then be factory workers?

A. 25%
B. 60%
C. 75%
D. 80%
E. Other






____________________________________________________________________________________________
My solution was 2000 x 80% = 1600 (factory workers)

Number of factory wokers reduced by 1/4, it means the current factory workers percentile is100%-25% = 75%:
1600 x (1-25%) = 1200 factory workers

and numbers of employees remaining: 2000-1200=800 employees

1200factory workers/800 employees x 100% = wrong answer

BUT.....the answer sheet shows the number of employees remaining : 2000 - 400 = 1600
then 1200 factory workers/ 1600employees x 100% = 75%

My question is why we should use 2000-400=1600, which is the number of employees remaining???

Correct answer: C


Thanks,

Yvonne
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Source: — Problem Solving |

by Night reader » Sun Mar 13, 2011 3:27 pm
factory workers' reduction by 1/4 --> 2,000*8/40=400; remaining factory workers --> (1,600-400)=1,200; remaining employees --> (2,000-400)=1,600; %% ratio 1,200/1,600=3/4 OR 75%

IOM C
yvonne0923 wrote:Of the 2,000 employees who work at company ABC, 80% are factory workers. If the number of factory workers will be reduced by 1/4, what percent of the total number of remaining employees would then be factory workers?

A. 25%
B. 60%
C. 75%
D. 80%
E. Other
See you made mistake below-underlined portion ...
Remaining employees are (2,000-400)=1,600. What you have found is the number of all employees who are not factory employees. The question was asking the number of remaining employees (after reduction of factory employees) and not the number of non-factory employees. The remaining employees means All employees less reduced employees.
yvonne0923 wrote:My solution was 2000 x 80% = 1600 (factory workers)

Number of factory wokers reduced by 1/4, it means the current factory workers percentile is100%-25% = 75%:
1600 x (1-25%) = 1200 factory workers

and numbers of employees remaining: 2000-1200=800 employees

1200factory workers/800 employees x 100% = wrong answer

BUT.....the answer sheet shows the number of employees remaining : 2000 - 400 = 1600
then 1200 factory workers/ 1600employees x 100% = 75%

My question is why we should use 2000-400=1600, which is the number of employees remaining???

Correct answer: C


Thanks,

Yvonne
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
Join the discussion

by yvonne0923 » Sun Mar 13, 2011 3:38 pm
Hi IOM,

Is the remaining employees supposed to be = 2000 - remaining factory workers1,200? why did you use 2000-400(reduction of factory workers)?
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by Night reader » Sun Mar 13, 2011 3:58 pm
hi, i'm night reader and IOM means "I only managed" some answer or comment
please reread my previous reply before posting again and you will understand everything.
thanks
yvonne0923 wrote:Hi IOM,

Is the remaining employees supposed to be = 2000 - remaining factory workers1,200? why did you use 2000-400(reduction of factory workers)?
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
Join the discussion