Question
In a job fair, 50% of the people are graduates, one
fifth of them are post graduates and rest are double graduates. If three-fourth of the graduates, 60% of the post graduates and half of the double graduates are unemployed, what percentage of total people is already employed?Solution
Let the total number of people be x. According to the question, Number of graduates = 1/2x Number of post graduates = 1/5x Number of double graduates = (x - 1/2x - 1/5x) = 3/10x Number of graduates who are unemployed = (3/4) × 1/2x = 3x/8 Number of post graduates who are unemployed = (3/5) × 1/5x = 3x/25 Number of double graduates who are unemployed = 1/2 × 3/10x = 3x/20 Total number of people who are employed = x - (3x/8) - (3x/25) - (3x/20) = 71x/200 The percentage of people who are employed = (71x/200x) × 100 = 35.5%
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