There are 221 employees in a company. If there are 2 departments and the employees in the first department are 30% less than the employees in the second department, find the ratio of employees of the first department to the number of employees in the second department.

Correct Answer: 7 : 10
Let the number of employees in the second department be x. The number of employees in the first department = x – 30% of x = 0.7x The total number of employees = 221 The total number of employees in terms of x = x + 0.7x = 1.7x 1.7x = 221 X = 130 The number of employees in the department second = 130 The number of employees in department first = 221 – 130 = 91 The ratio of employees in the first department to the ratio of employees in the second department = 91 : 130 = 7 : 10