Study the given information and answer the question. In a company, there are 1,300 employees. The company has give departments: HR, Finance, Marketing, Administration and Manufacturing. Out of the total female employees in the company, 32% work in the HR department, 20% in the Finance department and 18% in the Marketing department. The remaining 180 female employees work in the Administration department. There are no female employees in the Manufacturing department. Out of the total male employees in the company, 15% work in the HR department, 27% in Marketing, 25% in Finance, 20% in Administration. The remaining male employees work in the Manufacturing department.The total number of male employees working in the HR and Finance departments is what percentage of the total number of female employees working in the HR, Marketing and Administration departments (nearest integer)?58%60%56%54%
Question
Study the given information and answer the question. In a company, there are 1,300 employees. The company has give departments: HR, Finance, Marketing, Administration and Manufacturing. Out of the total female employees in the company, 32% work in the HR department, 20% in the Finance department and 18% in the Marketing department. The remaining 180 female employees work in the Administration department. There are no female employees in the Manufacturing department. Out of the total male employees in the company, 15% work in the HR department, 27% in Marketing, 25% in Finance, 20% in Administration. The remaining male employees work in the Manufacturing department.The total number of male employees working in the HR and Finance departments is what percentage of the total number of female employees working in the HR, Marketing and Administration departments (nearest integer)?58%60%56%54%
Solution
To answer this question, we first need to find out the number of female employees in the company. We know that 180 female employees work in the Administration department, which represents the remaining female employees after accounting for those in HR, Finance, and Marketing.
Let's denote the total number of female employees as F. We know that 32% of F work in HR, 20% in Finance, and 18% in Marketing. Therefore, 70% of F (the sum of 32%, 20%, and 18%) work in these three departments, and the remaining 30% work in Administration.
We can set up the equation 0.3F = 180 to find the total number of female employees. Solving for F, we get F = 180 / 0.3 = 600.
Next, we need to find the total number of male employees. Since there are 1,300 employees in total and 600 of them are female, there must be 1,300 - 600 = 700 male employees.
We know that 15% of the male employees work in HR and 25% in Finance, so the total number of male employees in these two departments is 0.15 * 700 + 0.25 * 700 = 105 + 175 = 280.
Finally, we need to find the percentage of the total number of male employees in HR and Finance (280) out of the total number of female employees in HR, Marketing, and Administration.
The total number of female employees in HR, Marketing, and Administration is 32% of 600 + 18% of 600 + 30% of 600 = 192 + 108 + 180 = 480.
So, the percentage we're looking for is (280 / 480) * 100% = 58.33%, which rounds to 58% to the nearest integer.
Therefore, the answer is 58%.
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