Question

Fifty per cent of the employees of a certain company are men, and 80% of the men earn more than ` 2.5 lacs per year. If 60% of the company’s employees earn more than ` 2.5 lacs per year, then what fraction of the women employed by the company earn more than ` 2.5 lacs per year?​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Hey friend, this question can be solved in two ways-

• (i) by assuming the total number of employees in the company be 100
• (ii) finding answer directly by putting x as a number of employees in the company

Solution Number 1 -

let the total number of employees in the company be 100.

according to question (atq) -

• 50% of employees in the company are men.
• $50\% \: of \: 100 = 50$
• 80% of men in the company earns more than 2.5 laks per year.

$80\% \: of \: men = \frac{80}{100} \times 50 = 40$

• 60% of the company employees earns more than 2.5 lakh per year.
• $60\% \: of \: 100 = 60$

so the number of women employees who earns more than 2.5 lakh per year is

= total number of employees who earns 2.5 lakh per year - number of men employees who earns 2.5 lakh per year

$60 - 40 = 20$

hence, the fraction of women employees who earns more than 2.5 lakh per year is 20/100= 1/5

$\frac{20}{100} = \frac{1}{5}$

Solution Number 2 -

let the total number of employees in the company=x

number of men employees in the company

$= \frac{50}{100} \times x = \frac{1}{2} x$

number of men employees in the company who earns more than 2.5 lakh per year

$\frac{80}{100} \times \frac{1}{2}x = \frac{2}{5} x$

number of employees in the company who earns more than 2.5 lakh per year

$\frac{60}{100} \times x = \frac{3}{5} x$

so, the number of women employees in the company who earns more than 2.5 lakh per year

=total number of employees who earns 2.5 lakh per year - number of men employees who earns 2.5 lakh per year

$\frac{3}{5} x - \frac{2}{5} x = \frac{1}{5} x$

and, fraction of women employees in the company who earns more than 2.5 lakh per year

$\frac{ \frac{1}{5}x }{x} = \frac{1}{5}$

hence, diffraction of women employees in the company who earns more than 2.5 lakh per year is 1/5 or 20%