compute department totals (percentage of 4600)

• HR = 11% of 4600 = $0.11\times 4600=506$

• Accounts = 8% of 4600 = $0.08\times 4600=368$

• Production = 15% of 4600 = $0.15\times 4600=690$

• IT = 26% of 4600 = $0.26\times 4600=1196$

• Marketing = 22% of 4600 = $0.22\times 4600=1012$

• Merchandising = 18% of 4600 = $0.18\times 4600=828$

i) Number of women in the accounts department

Accounts total = 368. Ratio men:women = 3:1 -- total parts = 4.
Women = $1/4$ of 368 = $368÷4=92$.

Answer (i): 92 women.

ii) Total employees in IT and HR together

IT = 1196, HR = 506 -- total = $1196+506=1702$.

Answer (ii): 1702 employees.

iii) Ratio of total men to total women in all departments

Find men and women in each dept (using department totals and ratios):

• HR (1:1) -- men = 253, women = 253.

• Accounts (3:1) -- men = 276, women = 92.

• Production (3:2) -- men = 414, women = 276.

• IT (1:3) -- men = 299, women = 897.

• Marketing (1:1) -- men = 506, women = 506.

• Merchandising (5:1) -- men = 690, women = 138.

Sum them:

• Total men = $2438$

• Total women = $2162$

Ratio 2438:2162 $=47$.

Answer (iii): $53:47$ (men : women).

iv) Women in merchandising as percent of total employees

Women in merchandising = 138. Percent = $(138/4600)\times 100=3\%$.

Answer (iv): 3% of the organisation.

v) Ratio of men in production to men in marketing

Men in production = 414; men in marketing = 506. Ratio $414:506$.

Simplify: divide both by 46 -- $9:11$.

Answer (v): $9:11$.

Comment down the the correct answer :

I will share the solution here.