In quantitative aptitude tests,
percentage problems are very common. Let us look at a sample
percentage problem with an example.
In an acoustics class, 120 students are
male and 100 students are female. 25% of the male students and 20% of
the female students are engineering students. 20% of the male
engineering students and 25% of the female engineering students
passed the final exam. What percentage of engineering students passed
the exam?
A. 5%
B.10%
C.16%
D. 22%
Now, 20% of 100 equals (20/100)×100=20.
Hence, the number of female engineering students in the class is 20.
Now, 25% of the female engineering students passed the final exam:
25%of20=(25/100)×20=5.
Hence, the number of female engineering students who passed is 5.
There are 120 male students in the class. And 25% of them are engineering students.
Now, 25% of 120 equals(25/100)×120=(14)×120=30.
Hence, the number of male engineering students is 30.
Now, 20% of the male engineering students passed the final exam:
20%of30=(20/100)×30=6.
Hence, the number of male engineering students who passed is 6.
Hence, the total number of engineering students who passed is:
(Female Engineering students who passed) +
(Male Engineering students who passed) = 5 + 6 = 11
The total number of engineering students in the class is:
(Number of female engineering students) +
(Number of male engineering students) = 30 + 20 = 50
Hence, the percentage of engineering students who passed is
(Total number of engineering students who passed / Total number of engineering students)×100
=(11/ 50)×100 = 22 %
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