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60% of the students of a class are boys and in an examination, 80% of the girls scored more than 40 marks (out of a maximum possible 150 marks). If 60% of the total students scored more than 40 marks in the same examination, find the fraction of the boys who scored 40 marks or less.
- a)8/15
- b)7/15
- c)4/5
- d)1/5
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
60% of the students of a class are boys and in an examination, 80% of ...
Assume Total no of students = 100
60% of the students are boys, so Boys = 60, Girls = 40
No. of girls who scored more than 40 marks = 80% of girls = 80% of 40 = 32.
No. of students who scored more than 40 marks = 60% of Total Students = 60
Therefore No. of boys who scored more than 40 marks = 60 - 32 = 28
No. of boys who scored less= Total boys – Boys(scored more) = 60 - 28 = 32
Fraction= (scored less)/Total boys = 32/60 =8/15
60% of the students are boys, so Boys = 60, Girls = 40
No. of girls who scored more than 40 marks = 80% of girls = 80% of 40 = 32.
No. of students who scored more than 40 marks = 60% of Total Students = 60
Therefore No. of boys who scored more than 40 marks = 60 - 32 = 28
No. of boys who scored less= Total boys – Boys(scored more) = 60 - 28 = 32
Fraction= (scored less)/Total boys = 32/60 =8/15
Most Upvoted Answer
60% of the students of a class are boys and in an examination, 80% of ...
Let total no of students in the class be 100
then number of boys =60
number of girls =40
60% girls scored more than 40 marks ie 32 girls
in total 60% students scored more than 40 marks means 60 out of 100 scored more than 40 marks. Out of which 32 are girls
so boys left=60-32=28
fraction of boys who scored 40.or less than 40 marks is
28/60 ie 7/15
then number of boys =60
number of girls =40
60% girls scored more than 40 marks ie 32 girls
in total 60% students scored more than 40 marks means 60 out of 100 scored more than 40 marks. Out of which 32 are girls
so boys left=60-32=28
fraction of boys who scored 40.or less than 40 marks is
28/60 ie 7/15
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60% of the students of a class are boys and in an examination, 80% of ...
To find the fraction of boys who scored 40 marks or less, we need to first determine the percentage of students who scored more than 40 marks in the examination. Let's denote this percentage as P.
Given that 60% of the total students scored more than 40 marks, we can write this as:
P = 60%
Next, we need to determine the percentage of girls who scored more than 40 marks. Let's denote this percentage as G.
Given that 80% of the girls scored more than 40 marks, we can write this as:
G = 80%
Now, let's assume that the total number of students in the class is 100. This means that 60% of 100, or 60 students, scored more than 40 marks.
Since 60% of the students are boys, we can calculate the number of boys in the class as:
Number of boys = 60% of 100 = 60
Now, let's assume that the number of girls in the class is Gg. Since 80% of the girls scored more than 40 marks, we can write this as:
80% of Gg = Gg * 80% = 60
Simplifying this equation, we find:
0.8 * Gg = 60
Gg = 60 / 0.8 = 75
So, the number of girls in the class is 75.
Now, let's calculate the number of boys who scored 40 marks or less. Since the total number of students is 100 and the number of girls is 75, the number of boys is:
Number of boys = Total number of students - Number of girls = 100 - 75 = 25
Finally, we can calculate the fraction of boys who scored 40 marks or less as:
Fraction of boys = Number of boys who scored 40 marks or less / Total number of boys = 25 / 60 = 5/12
Therefore, the correct answer is option B) 7/15.
Given that 60% of the total students scored more than 40 marks, we can write this as:
P = 60%
Next, we need to determine the percentage of girls who scored more than 40 marks. Let's denote this percentage as G.
Given that 80% of the girls scored more than 40 marks, we can write this as:
G = 80%
Now, let's assume that the total number of students in the class is 100. This means that 60% of 100, or 60 students, scored more than 40 marks.
Since 60% of the students are boys, we can calculate the number of boys in the class as:
Number of boys = 60% of 100 = 60
Now, let's assume that the number of girls in the class is Gg. Since 80% of the girls scored more than 40 marks, we can write this as:
80% of Gg = Gg * 80% = 60
Simplifying this equation, we find:
0.8 * Gg = 60
Gg = 60 / 0.8 = 75
So, the number of girls in the class is 75.
Now, let's calculate the number of boys who scored 40 marks or less. Since the total number of students is 100 and the number of girls is 75, the number of boys is:
Number of boys = Total number of students - Number of girls = 100 - 75 = 25
Finally, we can calculate the fraction of boys who scored 40 marks or less as:
Fraction of boys = Number of boys who scored 40 marks or less / Total number of boys = 25 / 60 = 5/12
Therefore, the correct answer is option B) 7/15.
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60% of the students of a class are boys and in an examination, 80% of the girls scored more than 40 marks (out of a maximum possible 150 marks). If 60% of the total students scored more than 40 marks in the same examination, find the fraction of the boys who scored 40 marks or less.a)8/15b)7/15c)4/5d)1/5Correct answer is option 'B'. Can you explain this answer?
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