Question
The distribution of employees at the rank of executives, across different companies C1, C2, …, C6 is presented in the 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 above. The total number of executives across all companies is 10,000. The total number of management degree holders among the executives in companies C2 and C5 together is_____.
Options :
1900
2500
225
600
Answer :
1900
Solution :
Total executives = 10,000
Percentage of executives in C2 = 5%, C5 = 20%
Ratio of executives with and without management degree C2 = 1 : 4, and C5 = 9 : 1.
Executives in C2 = 5/100 × 10000 = 500
Executives in C5 = 20/100 × 10000 = 2000
Executives with Management degree holders in C2 = 1/5 × 500 = 100
Executives with Management degree holders in C5 = 9/10 × 2000=1800
∴ total executives with management degree holders in C2 and C5 = 100 + 1800 = 1900.
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