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In a class of 500 students ,65% are boys. 20% of the girls and 40% of the boys failed the exam.Find the of students in the school passed the exam?
- a)335
- b)270
- c)400
- d)362
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
In a class of 500 students ,65% are boys. 20% of the girls and 40% of ...
Total students are 100% = 500
Boys = 65% of 500 = 325,
Girls = 35% =35*500/100 =175
Girls failed in the exam= 175*80/100 = 140
Boys failed in the exam =40/100x 325 = 195
Total = 140+195 = 335
Boys = 65% of 500 = 325,
Girls = 35% =35*500/100 =175
Girls failed in the exam= 175*80/100 = 140
Boys failed in the exam =40/100x 325 = 195
Total = 140+195 = 335
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In a class of 500 students ,65% are boys. 20% of the girls and 40% of ...
Given Data:
- Total number of students in the class = 500
- Percentage of boys = 65%
- Percentage of girls = 35%
- Percentage of girls who failed = 20%
- Percentage of boys who failed = 40%
Solution:
Step 1: Calculate the number of boys and girls in the class
- Number of boys = 65% of 500 = 0.65 * 500 = 325
- Number of girls = 35% of 500 = 0.35 * 500 = 175
Step 2: Calculate the number of boys and girls who failed the exam
- Number of boys who failed = 40% of 325 = 0.40 * 325 = 130
- Number of girls who failed = 20% of 175 = 0.20 * 175 = 35
Step 3: Calculate the total number of students who failed the exam
- Total number of students who failed = 130 (boys who failed) + 35 (girls who failed) = 165
Step 4: Calculate the number of students who passed the exam
- Number of students who passed = Total number of students - Total number of students who failed = 500 - 165 = 335
Therefore, the number of students in the school who passed the exam is 335. Hence, the correct answer is option 'A'.
- Total number of students in the class = 500
- Percentage of boys = 65%
- Percentage of girls = 35%
- Percentage of girls who failed = 20%
- Percentage of boys who failed = 40%
Solution:
Step 1: Calculate the number of boys and girls in the class
- Number of boys = 65% of 500 = 0.65 * 500 = 325
- Number of girls = 35% of 500 = 0.35 * 500 = 175
Step 2: Calculate the number of boys and girls who failed the exam
- Number of boys who failed = 40% of 325 = 0.40 * 325 = 130
- Number of girls who failed = 20% of 175 = 0.20 * 175 = 35
Step 3: Calculate the total number of students who failed the exam
- Total number of students who failed = 130 (boys who failed) + 35 (girls who failed) = 165
Step 4: Calculate the number of students who passed the exam
- Number of students who passed = Total number of students - Total number of students who failed = 500 - 165 = 335
Therefore, the number of students in the school who passed the exam is 335. Hence, the correct answer is option 'A'.
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In a class of 500 students ,65% are boys. 20% of the girls and 40% of the boys failed the exam.Find the of students in the school passed the exam?a)335b)270c)400d)362Correct answer is option 'A'. Can you explain this answer?
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