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An institute has 450 employees. The ratio of officers to clerks is 4:5. Ten percent of officers take training only in computer skills. Sixteen percent of clerks take training only in HRM, which is equal to the number of officers taking training only in financial skills and 50% of officers taking training in both HRM and financial skills. Six percent of the total employees take training in all three skills, two-thirds of whom are officers. Ten percent take training only in HRM and computer skills. Five times the number of clerks taking training in computer skills and financial skills together is equal to this. Ten percent of clerks take training only in HRM and computer skills. Officers taking training only in HRM are 25% of clerks taking training only in HRM. Twenty percent of the total take training only in computer skills. Clerks taking training in HRM and financial skills are 20% of the total clerks. How many officers take training in HRM in total?
- 110
- 128
- 118
- 98
Correct answer: 128
Solution
Total officers = 4/9 of 450 = 200 and clerks = 250. Using the given percentages, the officer counts in HRM-only, HRM+FS, HRM+CS, and all three can be determined, and their sum gives the total officers taking HRM. The total comes out to 128.
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