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%
By what percentage are the number of female employees of levels 'A' and 'B' taken together is greater than the number of male employees of levels 'A' and 'B' taken together?

Updated On: Sep 16, 2026
  • 40%
  • 44%
  • 48%
  • 50%
Show Solution
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The Correct Option is D

Solution and Explanation

Concept:
  • Convert every percentage in both pie charts into actual numbers of people using the given totals.
  • Female count for a level comes from Pie-Chart II (share of 60 females); male count for that level = total employees of that level (Pie-Chart I) - female count of that level.
  • Compare two group totals using: % greater = (Difference/Smaller value) x 100.

Step 1: Find total employees and total females of levels A and B
Total employees = 150. Level A = 8% of 150 = 12. Level B = 12% of 150 = 18
Total females = 40% of 150 = 60. Female A = 10% of 60 = 6. Female B = 20% of 60 = 12

Step 2: Find male employees of levels A and B
Male A = Total A - Female A = 12 - 6 = 6
Male B = Total B - Female B = 18 - 12 = 6

Step 3: Add up female (A+B) and male (A+B)
Female (A+B) = 6 + 12 = 18
Male (A+B) = 6 + 6 = 12

Step 4: Find the percentage by which female count is greater than male count
Difference = 18 - 12 = 6
% greater = (6/12) x 100 = 50%

Final Answer: 50%
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