Read the following passage and answer the given questions. Study the following given pie - charts carefully and answer the questions given below. The first pie chart represents the breakup of the number of employees working in different departments of an organization and the second pie chart represents the distribution of promotion of employees. If the ratio of number of male employees to the female employees in the production department is 2 : 3 and the ratio of number of male employees to female employees who get promotions in the same department is 4 : 5, then what percent of the female employees get promotions in the production department?

### Concept & Percentage Logic To find the percentage of female employees who get promoted in the production department, we need to divide the number of promoted female employees in production by the total number of female employees in production, and multiply by 100. $$ \text{Percentage} = \frac{\text{Promoted Females in Production}}{\text{Total Females in Production}} \times 100 $$ ### Step-by-Step Solution 1. **Find total female employees in Production:** Total employees = $6000$ Total Production employees = $15\%$ of $6000 = 900$ Ratio of Male:Female in Production = $2:3$ Total Female in Production = $\frac{3}{2+3} \times 900 = \frac{3}{5} \times 900 = 3 \times 180 = 540$ 2. **Find promoted female employees in Production:** Total promoted employees = $1200$ Total Production promoted = $15\%$ of $1200 = 180$ Ratio of Male:Female promoted in Production = $4:5$ Promoted Female in Production = $\frac{5}{4+5} \times 180 = \frac{5}{9} \times 180 = 5 \times 20 = 100$ 3. **Calculate the required percentage:** Percentage = $(\frac{100}{540}) \times 100\%$ Percentage = $(\frac{10}{54}) \times 100\%$ Percentage = $(\frac{5}{27}) \times 100\% = \frac{500}{27}\%$ $500 / 27 \approx 18.518...\%$ which rounds to $18.52\%$. ### Exam Strategy & Shortcut Work with fractions until the final step to avoid rounding errors early on. Recognizing that $1/27$ is roughly $3.7\%$, so $5/27$ is around $18.5\%$, can help you quickly spot the correct option without long division. ### Common Pitfall A common pitfall is calculating the percentage of females promoted relative to the *total* promoted employees ($100/1200$) or total employees ($100/6000$), instead of specifically the *female employees in the production department* ($100/540$). ### Final Answer Therefore, the correct answer is **18.52%**.