Question

In a company 60% workers are males. If the number of female workers in the company is 800, what is the number of male workers in the company?

• A. 16000
• B. 14000
• C. 1900
• D. 1200

Hint:

When solving percentage-based problems, first find the total value by setting up an equation that includes the given percentages. Then, calculate the desired quantity.

Answer 1

The Correct Option is D

Let the total number of workers in the company be denoted as \( x \).
Since 60% of the workers are males, the number of male workers is \( 0.60x \). The number of female workers is given as 800, and since the total number of workers is the sum of male and female workers, we have: \[ \text{Total workers} = \text{Male workers} + \text{Female workers} \quad \Rightarrow \quad x = 0.60x + 800. \] To find \( x \), solve the equation: \[ x - 0.60x = 800 \quad \Rightarrow \quad 0.40x = 800 \quad \Rightarrow \quad x = \frac{800}{0.40} = 2000. \] Now, to find the number of male workers: \[ \text{Male workers} = 0.60 \times 2000 = 1200. \] Thus, the number of male workers in the company is 1200.