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 females are employed in Purchase department?

Options

A

450

B

540

C

495

D

595

Show Answer

Correct Answer :

Option B

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:

Total Purchase employees = 4500 × 24 100

Total Purchase employees = 45 × 24 = 1080


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.

Number of females in Purchase department = 1080 × 1 1 + 1

Number of females in Purchase department = 1080 2 = 540


Therefore, the total number of females employed in the Purchase department is 540.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • CTET
  • intermediate
  • No time limit
  • child development and pedagogy, mathematics, social science

  • SSC
  • intermediate
  • 2 hours and 30 mins
  • child development and pedagogy, mathematics, social science

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...