In a survey of X people it was found that 40% are Men and the earnings of 75% Men are greater than $75000 per annum. 2/5 of the people surveyed earned more than $75000 per annum. What fraction of the total females earn less than or equal to $75000 ?
Let X be 100.
Total number of Men surveyed = (40/100) * 100 = 40
Total number of Men(surveyed) earning more than $75000 per annum = (75/100)*40 = 30
Total number of Women surveyed = 100 - 40 = 60
Total number of people(surveyed) earning more than $75000 per annum = (2/5)*100 = 40
Total number of Women(surveyed) earning more than $75000 per annum = Total number of people(surveyed) earning more than $75000 per annum - Total number of Men(surveyed) earning more than $75000 per annum = 40 - 30 = 10.
What fraction of the total females earn less than or equal to $75000 ?
= (Total number of Women surveyed - Total number of Women(surveyed) earning more than $75000 per annum)/Total number of Women surveyed
= (60-10)/60
= 50/60
= 5/6
