The total number of workers at a factory is 120. There are 5 departments with 20, 30, 30, 20 and 20 employees, respectively. If the number of employees of the first two departments increase by 40% and the employees of the rest of the departments decrease by 60%, find the new ratio of employees.

The total number of workers at a factory is 120. There are 5 departments with 20, 30, 30, 20 and 20 employees, respectively. If the number of employees of the first two departments increase by 40% and the employees of the rest of the departments decrease by 60%, find the new ratio of employees. Correct Answer 14 : 21 : 6 : 4 : 4

The new number of employees for the first department = 20 + 40% of 20 = 20 + 8 = 28 The new number of employees for the second department = 30 + 40% of 30 = 30 + 12 = 42 The new number of employees for the third department = 30 – 60% of 30 = 30 – 18 = 12 The new number of employees for the fourth department = 20 – 60% of 20 = 20 – 12 = 8 The new number of employees for the fifth department = 20 – 20% of 20 = 20 – 12 = 8 The new ratio = 28 : 42 : 12 : 8 : 8 = 14 : 21 : 6 : 4 : 4
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