Question

if 45% of the workers of a factory are females and the number of male workers is 396, find the total number of workers in the factory. ​nbb

Answer 1

Explanation:

✬ Total workers = 720 ✬

Step-by-step explanation:

Given:

45% of workers of a factory are females.

Number of male workers us 396.

To Find:

What is the total number of workers in factory ?

Solution: Let the total number of workers in factory be x and percentage of workers in factory be 100%. Therefore,

➟ Female workers = 45%

➟ Male workers = 100 – 45 = 55%

So, the percentage of male workers is 55%.

But A/q

Number of male workers  396.

$\implies{\rm }$ 55% of x = Male workers

$\implies{\rm }$ 55/100 × x = 396

$\implies{\rm }$ 55x/100 = 396

$\implies{\rm }$ 55x = 396 × 100

$\implies{\rm }$ 55x = 39600

$\implies{\rm }$ x = 39600/55

$\implies{\rm }$ x = 720

Hence, the total number of workers in factory is 720.

[ Verification ]

➟ 55% of total workers = 396

➟ 55/100 × 720 = 396

➟ 39600/100 = 396

➟ 396 = 396

$\large\bold{\texttt {Verified }}$

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