Question

Study the pie charts and answer the following questions: In a manufacturing firm there are a total of 150 employees of levels 'A', 'B', and 'C'. Number of employees of different levels have been presented in Pie-Chart I. Number of female employees of different levels have been shown in Pie-Chart II. 40% of the employees are females.

Pie-Chart I (share of 150 total employees)	Pie-Chart II (share of 60 female employees)
A: 8%, B: 12%, C: 80%	A: 10%, B: 20%, C: 70%

The ratio of the number of female employees of levels 'B' and 'C' taken together to the number of male employees of levels 'B' and 'C' taken together, is:

• A. 2:3
• B. 9:14
• C. 7:13
• D. 5:9

Answer 1

The Correct Option is B

Concept:

• Use the same pie chart data: convert percentages of both charts into actual head counts using their respective totals (150 for Chart I, 60 for Chart II).
• Male count of a level = Total of that level (Chart I) - Female count of that level (Chart II).
• Combine levels B and C for females and for males separately, then write the ratio in lowest terms.

Step 1: Find total employees and females for levels B and C
Level B total = 12% of 150 = 18. Level C total = 80% of 150 = 120
Female B = 20% of 60 = 12. Female C = 70% of 60 = 42

Step 2: Find male employees of levels B and C
Male B = 18 - 12 = 6
Male C = 120 - 42 = 78

Step 3: Add up female (B+C) and male (B+C)
Female (B+C) = 12 + 42 = 54
Male (B+C) = 6 + 78 = 84

Step 4: Write the ratio and simplify it
Ratio = 54 : 84
Divide both terms by 6: 9 : 14

Final Answer: 9:14