Question

A company has 3 departments: HR, IT, and Sales. The number of employees in HR, IT, and Sales are in the ratio 2:3:5. If the total number of employees is 100, how many employees are in the Sales department?

• A. 30
• B. 40
• C. 50
• D. 60

Hint:

For ratio problems, assign a variable to the ratio parts, sum them, and equate to the total to find the variable.

Answer 1

The Correct Option is C

- Step 1: Let the number of employees in HR, IT, and Sales be $2x$, $3x$, and $5x$ respectively.
- Step 2: Total employees = $2x + 3x + 5x = 10x = 100$.
- Step 3: Solve for $x$: $10x = 100 \implies x = 10$.
- Step 4: Sales employees = $5x = 5 \times 10 = 50$.
- Step 5: Verify: HR = $2 \times 10 = 20$, IT = $3 \times 10 = 30$, Sales = 50. Total = $20 + 30 + 50 = 100$.
- Step 6: Option (3) matches.