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.

Number of females in marketing department forms what percentage of the total number of employees in the organization?

The correct option is 12%.

Step-by-step breakdown:

1. Understand the given data:

- Total number of employees in the organization = 4,500.

- Percentage of employees working in the Marketing department = 20% of the total workforce.

- Ratio of males to females in the Marketing department = 2 : 3.

2. Calculate the percentage of females in the Marketing department relative to the total workforce:

In the Marketing department, the ratio of males to females is 2 : 3. This means that out of every (2 + 3) = 5 parts of the Marketing workforce, 3 parts are female.

Therefore, the fraction of females in the Marketing department is:

$\frac{3}{5}$

Since the Marketing department accounts for 20% of the total organization workforce, the percentage of females in the Marketing department relative to the total number of employees is:

$\text{Percentage of females}=\frac{3}{5}\times 20\%$

$\text{Percentage of females}=3\times 4\%=12\%$

3. (Alternative Check) Calculating using absolute numbers:

Total employees in Marketing department = 20% of 4,500

$=\frac{20}{100}\times 4500=900$

Number of females in Marketing department:

$=900\times \frac{3}{5}=540$

Percentage of females in Marketing department relative to the total workforce:

$=\left(\frac{540}{4500}\right)\times 100\%=12\%$

Thus, the number of females in the Marketing department forms 12% of the total number of employees in the organization.