NIELIT Scientist B 2020 November: 40

Question

 

In an office, $30\%$ of the employees were women and $70\%$ of the employees were above the age of $40$ years, out of which $60\%$ are men. Find the percentage of women employees who are above $40$ years out of the total number of women employees.

• A. $96\%$
• B. $93.33\%$
• C. $70.44\%$
• D. $80.66\%$

Answer 1

30% female    70% male

above age 40   70% persons out of which 60% (42% of total)  are male

                          so rest 40% (28% of total) are female are above age 40

desired ratio 28%:30%

=28/30=93.33 option B

Answer 2

Given that, in an office, $30\%$of the employees were women, so the rest  $70\%$ of the employees in an office is men.

$70\%$ of the employees were above the age of $40$ years, out of which $60\%$ are men.

$\therefore$ The men above the age of $40$ years $ = \dfrac{70}{100} \times \dfrac{60}{100} = 42\%.$

So, the $70\%$ of the employees were above the age of $40$ years, out of which $40\%$ are women.

$\therefore$ The women above the age of $40$ years $ = \dfrac{70}{100} \times \dfrac{40}{100} = 28\%.$

Required percentage $ = \dfrac{28\%}{30\%} \times 100 \% = \dfrac{28}{30} \times 100\% = 93.33\%.$

So, the correct answer is $(B).$