1. **Stating the problem:** We need to find the ratio of the number of men in the marketing department to the number of men in the accounts department. 2. **Given data:** - Total employees = 1200 - Marketing department percentage = 23% of total employees - Accounts department percentage = 15% of total employees - Percentage of men in Marketing = 75% - Percentage of men in Accounts = 65% 3. **Formula:** Number of men in a department = (Total employees) \times (Department percentage) \times (Percentage of men in that department)\ 4. **Calculate number of men in Marketing:** $$1200 \times \frac{23}{100} \times \frac{75}{100} = 1200 \times 0.23 \times 0.75 = 207$$ 5. **Calculate number of men in Accounts:** $$1200 \times \frac{15}{100} \times \frac{65}{100} = 1200 \times 0.15 \times 0.65 = 117$$ 6. **Find the ratio of men in Marketing to men in Accounts:** $$\text{Ratio} = 207 : 117$$ 7. **Simplify the ratio:** Divide both numbers by their greatest common divisor (GCD). GCD of 207 and 117 is 9. $$\frac{207}{9} : \frac{117}{9} = 23 : 13$$ **Final answer:** The ratio of men in Marketing to men in Accounts is **23 : 13**. This corresponds to option (a).