In an organization, the total number of employees working in various Departments viz. IT, Marketing, Purchase, HR, Accounts and Production are 4,500. The information regarding department wise percentage of employees was collected and also record about gender ratio of employees was prepared. 18 percent of total number of employees work in IT department and ratio of males to females in IT department is 2 : 1. In Marketing, ratio of males to females is 2 : 3 and number of employees engaged in marketing is 20% of the total employment. 12% of the total numbers of workers are running the HR department and the ratio of males to females in this department is 5 : 1. The fraction of male to females in production department is 3 : 2 and total number of persons employed in this department is 15% of the total workforce. The number of persons occupied in purchase and accounts department is 24% and 11% respectively of the total number of workers. Gender Ratio (Ratio of males to females) in Purchase department is 1 : 1 and in Accounts is 1 : 2.
How many females are employed in Purchase department?
Correct Answer :
540
Solution :
The correct answer is 540 (Option 2).
Step-by-step Explanation:
Step 1: Understand the given data
Total number of employees in the organization = 4,500.
Percentage of employees working in the Purchase department = 24% of the total number of employees.
Gender ratio of males to females in the Purchase department = 1 : 1.
Step 2: Calculate the total number of employees in the Purchase department
To find the total number of employees working in the Purchase department, we calculate 24% of 4,500:
Step 3: Calculate the number of females in the Purchase department
The ratio of males to females in the Purchase department is 1 : 1.
This means females constitute 1 part out of total (1 + 1) = 2 equal parts of the Purchase department workforce, which is half of the total employees in this department.
Therefore, the total number of females employed in the Purchase department is 540.
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