Question

In a factory, women are 35% of all the workers, the rest of the workers being men. The number of men exceeds that of women by 252. Find the total number of workers in the factory.

• A. 810
• B. 820
• C. 830
• D. 840

Answer 1

The correct option is D 840

Percentage of women in factory = 35%
Percentage of men in factory = 100 - 35 = 65%
Let the number of persons in the factory be x.
According to the question,
$x\times \frac{65}{100}-x\times \frac{35}{100}=252\Rightarrow \frac{65x-35x}{100}=252\Rightarrow \frac{30x}{100}=252\Rightarrow x=\frac{2520}{3}=840$
Hence, total number of workers in the factory is 840.