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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?

A 35.5% Correct Answer Incorrect Answer
B 40.5% Correct Answer Incorrect Answer
C 38% Correct Answer Incorrect Answer
D 42% Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

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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