Question
A company has a certain number of employees. Initially,
60% of the employees were assigned to the research department, 20% to the marketing department, and the remaining employees were in the development department. After a restructuring, the number of employees in the research department increased by 20%, while the number in the marketing department decreased by 10%. The total number of employees in the company is now 770, and the number of employees in the development department has stayed the same. Find the initial total number of employees in the company.Solution
Let the initial total number of employees be 100N number of employees in research = 60% of 100N = 60N number of employees in marketing = 20% of 100N = 20N number of employees in development = 100% - (60% + 20%) = 20% of 100N = 20N total number of employees in company after restructuring = 120% of 60N + 90% of 20N + 20N 770 = 72N+18N+20N 770 = 110N N = 7 the initial total number of employees = 100N = 700
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