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.

Answer 1

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 xx 65/100 - x xx 35/100 = 252`

⇒ `(65x - 35x)/100 = 252`

⇒ `(30x)/100 = 252`

⇒ `x = 2520/3 = 840`

Hence, total number of workers in the factory is 840.