Question Details

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 employees are working in it and Accounts departments together?

Options

A

1,702

B

1,646

C

1,766

D

1,305

Show Answer

Correct Answer :

Option D

1,305

Solution :

The correct option is 1,305.

Given Data:
Total number of employees in the organization = 4,500
Percentage of employees working in the IT department = 18%
Percentage of employees working in the Accounts department = 11%

Step 1: Find the combined percentage of employees in the IT and Accounts departments.
To find the total percentage of employees working in both departments together, we sum their respective percentages:

Combined Percentage=18%+11%=29%

Step 2: Calculate the total number of employees.
Now, we calculate 29% of the total workforce (4,500 employees):

Total Employees=29100×4500

Total Employees=29×45=1305

Alternative Method (Individual Department Calculation):
1. Employees in IT Department:

IT Employees=18100×4500=810

2. Employees in Accounts Department:

Accounts Employees=11100×4500=495

3. Total together:

Total=810+495=1305

Therefore, 1,305 employees are working in the IT and Accounts departments combined.

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