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In a class of 100 students, there are 70 boys whose average marks in a subject are 75. If average marks of the complete class is 72, then what is the average marks of the girls?
- a)64
- b)65
- c)68
- d)74
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a class of 100 students, there are 70 boys whose average marks in a...
Number of boys = 70 and number of girls = 100 – 70 = 30;
Let the average marks of the girls = x;
According to the given condition;
Total marks of the class = Total marks of boys + Total marks of girls
⇒ 100 × 72 = 70 × 75 + 30 × x
⇒ 7200 = 5250 + 30x
⇒ 30x = 1950
⇒ x = 65
⇒ 100 × 72 = 70 × 75 + 30 × x
⇒ 7200 = 5250 + 30x
⇒ 30x = 1950
⇒ x = 65
Most Upvoted Answer
In a class of 100 students, there are 70 boys whose average marks in a...
Given information:
- Total number of students in the class = 100
- Number of boys = 70
- Average marks of the boys = 75
- Average marks of the class = 72
We need to find the average marks of the girls in the class.
To find the average marks of the girls, we first need to find the total marks of the class.
Total marks of the class = Average marks of the class * Total number of students
Total marks of the class = 72 * 100
Total marks of the class = 7200
Now, let's find the total marks obtained by the boys.
Total marks obtained by the boys = Average marks of the boys * Number of boys
Total marks obtained by the boys = 75 * 70
Total marks obtained by the boys = 5250
To find the total marks obtained by the girls, we subtract the total marks obtained by the boys from the total marks of the class.
Total marks obtained by the girls = Total marks of the class - Total marks obtained by the boys
Total marks obtained by the girls = 7200 - 5250
Total marks obtained by the girls = 1950
Now, let's find the average marks of the girls.
Average marks of the girls = Total marks obtained by the girls / Number of girls
To find the number of girls, we subtract the number of boys from the total number of students.
Number of girls = Total number of students - Number of boys
Number of girls = 100 - 70
Number of girls = 30
Average marks of the girls = 1950 / 30
Average marks of the girls = 65
Therefore, the average marks of the girls in the class is 65. Hence, the correct answer is option B.
- Total number of students in the class = 100
- Number of boys = 70
- Average marks of the boys = 75
- Average marks of the class = 72
We need to find the average marks of the girls in the class.
To find the average marks of the girls, we first need to find the total marks of the class.
Total marks of the class = Average marks of the class * Total number of students
Total marks of the class = 72 * 100
Total marks of the class = 7200
Now, let's find the total marks obtained by the boys.
Total marks obtained by the boys = Average marks of the boys * Number of boys
Total marks obtained by the boys = 75 * 70
Total marks obtained by the boys = 5250
To find the total marks obtained by the girls, we subtract the total marks obtained by the boys from the total marks of the class.
Total marks obtained by the girls = Total marks of the class - Total marks obtained by the boys
Total marks obtained by the girls = 7200 - 5250
Total marks obtained by the girls = 1950
Now, let's find the average marks of the girls.
Average marks of the girls = Total marks obtained by the girls / Number of girls
To find the number of girls, we subtract the number of boys from the total number of students.
Number of girls = Total number of students - Number of boys
Number of girls = 100 - 70
Number of girls = 30
Average marks of the girls = 1950 / 30
Average marks of the girls = 65
Therefore, the average marks of the girls in the class is 65. Hence, the correct answer is option B.
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In a class of 100 students, there are 70 boys whose average marks in a subject are 75. If average marks of the complete class is 72, then what is the average marks of the girls?a)64b)65c)68d)74Correct answer is option 'B'. Can you explain this answer?
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In a class of 100 students, there are 70 boys whose average marks in a subject are 75. If average marks of the complete class is 72, then what is the average marks of the girls?a)64b)65c)68d)74Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about In a class of 100 students, there are 70 boys whose average marks in a subject are 75. If average marks of the complete class is 72, then what is the average marks of the girls?a)64b)65c)68d)74Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class of 100 students, there are 70 boys whose average marks in a subject are 75. If average marks of the complete class is 72, then what is the average marks of the girls?a)64b)65c)68d)74Correct answer is option 'B'. Can you explain this answer?.
In a class of 100 students, there are 70 boys whose average marks in a subject are 75. If average marks of the complete class is 72, then what is the average marks of the girls?a)64b)65c)68d)74Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about In a class of 100 students, there are 70 boys whose average marks in a subject are 75. If average marks of the complete class is 72, then what is the average marks of the girls?a)64b)65c)68d)74Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class of 100 students, there are 70 boys whose average marks in a subject are 75. If average marks of the complete class is 72, then what is the average marks of the girls?a)64b)65c)68d)74Correct answer is option 'B'. Can you explain this answer?.
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