Question

15% of the labour in a factory are females and the number of male employees is 595. find the total number of work force and the number of females working in the factory.​

Answer 1

Working out:

From the given data, we know the percentage of female employees and male employees in the factory. Also, the exact number of male employees is given.

GiveN,

• 15 % of the labour are female
• Total there are 595 male employees$.$

First, let's find the percentage of male workers in the factory (Female labourers = 15 %),

⇛ 100% (Total) - 15% (Female)

⇛ 85% (Male by percentage)

Now, let's consider the total number of labours be x

Then,

⇛ 85% of x = 595

Solving,

⇛ 85 / 100 × x = 595

Here, we need to find x. So, first isolate x in left hand side by dividing 85/100 from the other side(RHS) because inverse of multiplication is division.

⇛ x = 595 ÷ 85/100

⇛ x = 595 × 100/85

⇛ x = 7 × 100

⇛ x = 700✓

Total number of labour in the factory = 700

Now, we know the percentage of female and the total number of labour in the factory. So, let's find the number of female workers,

⇛ 15% of Total labour

⇛ 15% × 700

⇛ 15/100 × 700

⇛ 15 × 7

⇛ 105✓

Total number of female labourers = 105

And, we are done with our answer !

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Answer 2

$\mathcal{\gray{\underbrace{\blue{GIVEN:-}}}}$

• 15% of the labour in a factory are females .

• The number of male employees is 595 .

$\mathcal{\gray{\underbrace{\blue{TO\: FIND:-}}}}$

1. The total number of work force, working in the factory .
2. The number of female workers in the factory .

$\mathcal{\gray{\underbrace{\blue{SOLUTION:-}}}}$

According to the question, 15% of the labour in the factory are females .

Hence, Percentage of male employees in that factory = 100% - 15% = 85% .

✍️ Let, ‘x’ be the total number of workers in the factory .

⚡ We have know that,

• 85% of x = number of male employees .

$\rm{\implies\:85\%\:of\:x\:=\:595\:}$

$\rm{\implies\:\dfrac{85}{100}\times{x}\:=\:595\:}$

$\rm{\implies\:x\:=\:595\times{\dfrac{100}{85}}\:}$

$\rm{\implies\:x\:=\:7\times{100}\:}$

$\rm{\green{\implies\:x\:=\:700\:}}$

$\rm\red{\therefore}$ [1] The total number of work force working in the factory are “700” .

✍️ To find number of female workers in the factory, we can simply substract Total number of work force to Total number of male employees .

$\rm{\implies\:700\:-\:595\:}$

$\rm{\green{\implies\:Total\:no.\:of\:female\:workers\:=\:105\:}}$

$\rm\red{\therefore}$ [2] The number of female workers in the factory are “105” .