Distribution of work hours in a factory is shown in the below given table :
Number of workers | Number of hours worked
—|—
20 | 45—50
15 | 40—44
25 | 35—39
16 | 30—34
04 | 00—29
What is the percentage of workers worked for 40 or more hours ?
40
25
33.33
43.75
Answer is Wrong!
Answer is Right!
This question was previously asked in
UPSC CAPF – 2009
Total number of workers = Sum of workers in all categories = 20 + 15 + 25 + 16 + 04 = 80 workers.
Next, identify the categories of workers who worked for 40 or more hours. These are the categories “40—44” and “45—50”.
Number of workers in the “40—44” category = 15.
Number of workers in the “45—50” category = 20.
Total number of workers who worked for 40 or more hours = 15 + 20 = 35 workers.
Finally, calculate the percentage:
Percentage = (Number of workers who worked 40+ hours / Total number of workers) * 100
Percentage = (35 / 80) * 100
Percentage = (35/80) * 100 = (7/16) * 100
Percentage = 700 / 16 = 350 / 8 = 175 / 4 = 43.75.