Question:
In a class of 120 students, 40\(\%\) are females and rest are males. 50\(\%\) of the female students passed an entrance exam. If the total number of students who passed the exam is 72, then what percentage of the male students passed the exam?
In a class of 120 students, 40\(\%\) are females and rest are males. 50\(\%\) of the female students passed an entrance exam. If the total number of students who passed the exam is 72, then what percentage of the male students passed the exam?
Updated On: Mar 9, 2025
- 33.33\(\%\)
- 66.66\(\%\)
- 16.66\(\%\)
- 52.25\(\%\)
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The Correct Option is B
Solution and Explanation
Calculation of Percentage of Male Students Who Passed the Exam
Step 1: Total Number of Students
Total number of students = 120.
Step 2: Number of Female Students
40% of the students are females, so the number of female students is:
\[ 40\% \times 120 = 48 \, \text{females} \]
Step 3: Number of Male Students
The number of male students is:
\[ 120 - 48 = 72 \, \text{males} \]
Step 4: Female Students Who Passed
50% of the female students passed the exam, so the number of female students who passed the exam is:
\[ 50\% \times 48 = 24 \, \text{females passed} \]
Step 5: Male Students Who Passed
The total number of students who passed the exam is 72, and since 24 females passed, the number of male students who passed is:
\[ 72 - 24 = 48 \, \text{males passed} \]
Step 6: Percentage of Male Students Who Passed
The percentage of male students who passed the exam is:
\[ \frac{48}{72} \times 100 = 66.66\% \]
Final Answer:
The correct answer is (b) 66.66%.
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