Multiple choice

In a company, 40% of the employees work in the Research department. If the total salary obtained by all the research employees is one-fourth of the total salary obtained by all employees in the company, then what is the ratio of the average salary obtained by the research employees to the average salary obtained by the non-research employees?

  1. 1 : 2

  2. 2 : 3

  3. 3 : 4

  4. 4 : 3

  5. a
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A Correct answer
Explanation

Assume 100 employees and total salary 100 units. Research has 40 employees and receives 25 salary units, while non-research has 60 employees and receives 75 units. Their average salaries are 25/40 and 75/60, whose ratio is 1:2.

AI explanation

Let the total number of employees be 100 and the total salary of all employees be 400 units. The Research department has 40 employees, and their total salary is one-fourth of 400, which is 100 units. The average salary for a research employee is 100 divided by 40, equaling 2.5 units. The non-research employees number 60, and their total salary is 300 units, giving them an average salary of 300 divided by 60, equaling 5 units. The ratio of the average salary of research employees to non-research employees is 2.5 to 5, which simplifies to 1:2.

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