Question

If 15% of the workers in a factory are females and the number of male workers is 272, find the total number of workers in the factory?

Answer 1

let the total no of workers be x.

percentage of female=15%

percentage of male=(100-15)=85%

no of males=85% of x

therefore, 85% of x=272

85÷100×x=272

x=272×100÷85

x=320

hence the total no of workers in the factory is 320.

Answer 2

The total number of workers in the factory = 320

Given :

15% of the workers in a factory are females and the number of male workers is 272

To find :

The total number of workers in the factory

Solution :

Step 1 of 2 :

Form the equation to calculate total number of workers in the factory

Percentage of female in the factory = 15%

∴ Percentage of male in the factory

= (100 - 15)%

= 85%

Let total number of workers in the factory = n

So by the given condition is

$\displaystyle \sf{ n \times \frac{85}{100} = 272}$

Step 2 of 2 :

Calculate total number of workers in the factory

$\displaystyle \sf{ n \times \frac{85}{100} = 272}$

$\displaystyle \sf{ \implies }n = 272 \times \frac{100}{85}$

$\displaystyle \sf{ \implies }n= 320$

Hence total number of workers in the factory = 320

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