Problem Solving

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






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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