The distribution of employees at the rank of executives, across different companies C1, C2, ..., C6 is presented in the pie chart given above. The ratio of executives with a management degree to those without a management degree in each of these companies is provided in the table below. The total number of executives across all companies is 10,000. Company | Ratio C1 | 3 : 2 C2 | 1 : 4 C3 | 1 : 3 C4 | 2 : 3 C5 | 9 : 1 The pie chart shows C2 = 5% and C5 = 20% of all executives. What is the number of management degree holders among the executives in companies C2 and C5 together? A. 225 B. 600 C. 1900 D. 2500

GATE 2021 · General Aptitude · Pie Chart · medium

Answer: 1,900 executives in C2 and C5 together hold a management degree.

  1. Find executive count in C2 and C5: C2: (5/100) x 10,000 = 500 executives. C5: (20/100) x 10,000 = 2,000 executives.
  2. Apply ratio to find degree holders in C2: C2 ratio = 1:4, so fraction = 1/5. Degree holders in C2 = 500 x (1/5) = 100.
  3. Apply ratio to find degree holders in C5: C5 ratio = 9:1, so fraction = 9/10. Degree holders in C5 = 2,000 x (9/10) = 1,800.
  4. Add results for C2 and C5: Total management degree holders = 100 + 1,800 = 1,900.