In a class named Aof 25 students, 20 passed with a grade of 60 percent or higher; in anotherclass named Bof 30 students, 24 passed with a grade of 60 percent or higher. Which class had the highest percentage of students receiving 60 percent or higher grades?

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Class A

Class B

Both classes have same number

None of the above

answer is C.

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Detailed Solution

Given that,
In class A,
Number of students passed in first class = 20 and total number of students = 25.
In class B,
Number of students passed in first class = 24 and total number of students = 30.
Then,
The fraction of students passed in class A,

= \frac{20}{25}

= \frac{4}{5}

and the fraction of students passed in class B,

= \frac{24}{30}

= \frac{4}{5}

Since the denominator of both the fractions is the same therefore, they can be compared by comparing the numerators directly. So,

4 = 4

\Rightarrow \frac{4}{5} = \frac{4}{5}

\Rightarrow \frac{20}{25} = \frac{24}{30}

Since both the fractions are equal therefore both classes A and B have the same fraction of students getting

60 %

or higher grades.
Therefore, the correct answer is option (3).

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