Question

A company has 150 employees with the ratio of men to women as 7:8 spread across three functions
Sales, Operations and HR. In Sales, there are 50% of total women and 40% of total men. In HR,
There are 30% of total women and 30% of total men. In Operations, there are 20% of total women and
30% of total men. 7 men and 9 women are in HR and Sales both. 5 men and 8 women are in Sales
and Operations both. 2 men and 3 women are in all three functions.
The ratio of men to women only in HR function is

Answer 1

Answer:

dont know the answer sorry

Answer 2

Given:

No. of employees = 150

Ratio of men to women = 7:8

Percentage of women in Sales function = 50%

Percentage of men in Sales function = 40%

Percentage of women in HR function = 30%

Percentage of men in HR function = 30%

Percentage of women in Operations function = 20%

Percentage of men in Operations function = 30%

No. of men in both HR and Sales = 7

No. of women in both HR and Sales = 9

No. of men in both Operations and Sales = 5

No. of women in both Operations and Sales = 8

No. of men in all three functions = 2

No. of women in all three functions = 3

To find:

The ratio of men to women only in the HR function.

Solution:

The company has both men and women employees of 150 in number. The ratio of men to women is 7:8.

Let the no. of men be $7x$ and the no. of women be $8x$.

Then, on adding them gives the total no. of employees.

$7x+8x=150$

$15x=150$

$x=\frac{150}{15}=10$

Thus, no. of men = $7x=7*10=70$

No. of women = $8x=8*10=80$

Percentage of women in HR function is 30% of total women.

Hence, no. of women in HR = $\frac{30}{100}*80=24$

Percentage of men in HR function is 30% of total men.

Hence, no. of men in HR = $\frac{30}{100}*70=21$

Thus, ratio of men to women in HR function only is:

No. of men in HR/No. of women in HR = $\frac{21}{24}=\frac{7}{8}$

∴ Ratio of men to women in HR function is 7:8.

Ratio of men to women only in HR function is 7:8