The pie chart below has the breakup of the number of students, from different…
2015
The pie chart below has the breakup of the number of students, from different departments in an engineering college for the year 2012. The proportion of male to female students in each department is 5 : 4. There are 40 males in Electrical Engineering. What is the different between the numbers of female students in the Civil department and the female students in the Mechanical department?
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Correct answer: 32
Final answer: 32
Step-by-step solution:
Find the total number of students in Electrical Engineering. The male to female ratio is 5:4, so males are 5/9 of the department. If there are 40 males, the total in Electrical = 40 × 9/5 = 72.
Use the pie-chart percentage to find the total students in the college. Electrical is 20% of total, so total students = 72 ÷ 0.20 = 360.
Find department totals from percentages: Civil = 30% of 360 = 108; Mechanical = 10% of 360 = 36.
Compute female students in each department. Females are 4/9 of each department: Civil females = 108 × 4/9 = 48; Mechanical females = 36 × 4/9 = 16.
Difference between female students in Civil and Mechanical = 48 − 16 = 32.
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