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A class 60% of the students passed in Finance. Among those passed in Finance, 33% passed in Marketing. 150 students Failed in both the subjects rd of the students who passed in marketing failed in Finance.
1) How many students are there in the class?
2) What percentage of total students failed in finance only?
3) All the students who failed in at least one subject are given grace marks and it was found that the number of students failed in both the subjects is decreased by 60% and the number of students failed in exactly one subject went up by 20%. How many students passed in both the subjects?
4) After all the students who failed in exactly one subject have taken a re- exam in the subject in which they failed. It was found that the number of students who passed in both the subjects increased by 60 What is the least value for the percentage of students in the class who failed only in marketing?
1) How many students are there in the class?
2) What percentage of total students failed in finance only?
3) All the students who failed in at least one subject are given grace marks and it was found that the number of students failed in both the subjects is decreased by 60% and the number of students failed in exactly one subject went up by 20%. How many students passed in both the subjects?
4) After all the students who failed in exactly one subject have taken a re- exam in the subject in which they failed. It was found that the number of students who passed in both the subjects increased by 60 What is the least value for the percentage of students in the class who failed only in marketing?
Most Upvoted Answer
A class 60% of the students passed in Finance. Among those passed in F...
1) Total Students in the Class
Let the total number of students be \( x \).
- Students who passed in Finance = \( 0.6x \)
- Students who failed in Finance = \( 0.4x \)
- Among those who passed in Finance, 33% passed in Marketing: \( 0.33 \times 0.6x = 0.198x \)
- Therefore, students who passed in both subjects = \( 0.198x \)
- Students who passed in only Marketing = \( 0.6x - 0.198x = 0.402x \)
Given that 150 students failed in both subjects:
- Total students who failed in Finance = \( 0.4x + 150 \)
From the data, we know \( 0.4x + 150 = 0.402x + 150 \).
Solving gives us:
\( 0.4x + 150 = x - 0.198x \)
Thus, \( 0.402x = 150 \)
Therefore, \( x = 150 / 0.402 \approx 373.76 \).
Rounding gives \( x = 374 \).
2) Percentage of Total Students Failed in Finance Only
- Total failed in Finance = \( 0.4 \times 374 + 150 = 150 + 149.6 = 299.6 \) (approximately 300).
- Students failed in both = 150.
Thus, students who failed only in Finance = \( 300 - 150 = 150 \).
Percentage of students failed in Finance only:
\( \frac{150}{374} \times 100 \approx 40.05\% \)
3) Passing in Both Subjects After Grace Marks
- Students failed in both decreased by 60%: \( 150 - 0.6 \times 150 = 60 \).
- Students failed in exactly one subject increased by 20%.
Let \( y \) be students failed in exactly one subject before grace marks.
After grace marks: \( 1.2y \) students failed in exactly one subject.
Using \( 0.4x = 60 + y \), solving gives \( y = 240 \). Hence, \( 1.2y = 288 \).
Total students passing both subjects = \( 374 - (60 + 288) = 26 \).
4) Least Percentage of Students Failed Only in Marketing
Let \( z \) be students who failed only in Marketing.
Total students: \( z + 150 + 240 = 374 \).
Thus, \( z = 374 - 390 = -16 \) (which is impossible).
Therefore, the least value for the percentage of students who failed only in Marketing must be non-negative.
Thus, \( z \) can be at least \( 0 \), resulting in a minimum percentage of \( \frac{0}{374} \times 100 = 0\% \).
Let the total number of students be \( x \).
- Students who passed in Finance = \( 0.6x \)
- Students who failed in Finance = \( 0.4x \)
- Among those who passed in Finance, 33% passed in Marketing: \( 0.33 \times 0.6x = 0.198x \)
- Therefore, students who passed in both subjects = \( 0.198x \)
- Students who passed in only Marketing = \( 0.6x - 0.198x = 0.402x \)
Given that 150 students failed in both subjects:
- Total students who failed in Finance = \( 0.4x + 150 \)
From the data, we know \( 0.4x + 150 = 0.402x + 150 \).
Solving gives us:
\( 0.4x + 150 = x - 0.198x \)
Thus, \( 0.402x = 150 \)
Therefore, \( x = 150 / 0.402 \approx 373.76 \).
Rounding gives \( x = 374 \).
2) Percentage of Total Students Failed in Finance Only
- Total failed in Finance = \( 0.4 \times 374 + 150 = 150 + 149.6 = 299.6 \) (approximately 300).
- Students failed in both = 150.
Thus, students who failed only in Finance = \( 300 - 150 = 150 \).
Percentage of students failed in Finance only:
\( \frac{150}{374} \times 100 \approx 40.05\% \)
3) Passing in Both Subjects After Grace Marks
- Students failed in both decreased by 60%: \( 150 - 0.6 \times 150 = 60 \).
- Students failed in exactly one subject increased by 20%.
Let \( y \) be students failed in exactly one subject before grace marks.
After grace marks: \( 1.2y \) students failed in exactly one subject.
Using \( 0.4x = 60 + y \), solving gives \( y = 240 \). Hence, \( 1.2y = 288 \).
Total students passing both subjects = \( 374 - (60 + 288) = 26 \).
4) Least Percentage of Students Failed Only in Marketing
Let \( z \) be students who failed only in Marketing.
Total students: \( z + 150 + 240 = 374 \).
Thus, \( z = 374 - 390 = -16 \) (which is impossible).
Therefore, the least value for the percentage of students who failed only in Marketing must be non-negative.
Thus, \( z \) can be at least \( 0 \), resulting in a minimum percentage of \( \frac{0}{374} \times 100 = 0\% \).
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A class 60% of the students passed in Finance. Among those passed in Finance, 33% passed in Marketing. 150 students Failed in both the subjects rd of the students who passed in marketing failed in Finance.1) How many students are there in the class?2) What percentage of total students failed in finance only?3) All the students who failed in at least one subject are given grace marks and it was found that the number of students failed in both the subjects is decreased by 60% and the number of students failed in exactly one subject went up by 20%. How many students passed in both the subjects?4) After all the students who failed in exactly one subject have taken a re- exam in the subject in which they failed. It was found that the number of students who passed in both the subjects increased by 60 What is the least value for the percentage of students in the class who failed only in marketing?
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A class 60% of the students passed in Finance. Among those passed in Finance, 33% passed in Marketing. 150 students Failed in both the subjects rd of the students who passed in marketing failed in Finance.1) How many students are there in the class?2) What percentage of total students failed in finance only?3) All the students who failed in at least one subject are given grace marks and it was found that the number of students failed in both the subjects is decreased by 60% and the number of students failed in exactly one subject went up by 20%. How many students passed in both the subjects?4) After all the students who failed in exactly one subject have taken a re- exam in the subject in which they failed. It was found that the number of students who passed in both the subjects increased by 60 What is the least value for the percentage of students in the class who failed only in marketing? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A class 60% of the students passed in Finance. Among those passed in Finance, 33% passed in Marketing. 150 students Failed in both the subjects rd of the students who passed in marketing failed in Finance.1) How many students are there in the class?2) What percentage of total students failed in finance only?3) All the students who failed in at least one subject are given grace marks and it was found that the number of students failed in both the subjects is decreased by 60% and the number of students failed in exactly one subject went up by 20%. How many students passed in both the subjects?4) After all the students who failed in exactly one subject have taken a re- exam in the subject in which they failed. It was found that the number of students who passed in both the subjects increased by 60 What is the least value for the percentage of students in the class who failed only in marketing? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A class 60% of the students passed in Finance. Among those passed in Finance, 33% passed in Marketing. 150 students Failed in both the subjects rd of the students who passed in marketing failed in Finance.1) How many students are there in the class?2) What percentage of total students failed in finance only?3) All the students who failed in at least one subject are given grace marks and it was found that the number of students failed in both the subjects is decreased by 60% and the number of students failed in exactly one subject went up by 20%. How many students passed in both the subjects?4) After all the students who failed in exactly one subject have taken a re- exam in the subject in which they failed. It was found that the number of students who passed in both the subjects increased by 60 What is the least value for the percentage of students in the class who failed only in marketing?.
A class 60% of the students passed in Finance. Among those passed in Finance, 33% passed in Marketing. 150 students Failed in both the subjects rd of the students who passed in marketing failed in Finance.1) How many students are there in the class?2) What percentage of total students failed in finance only?3) All the students who failed in at least one subject are given grace marks and it was found that the number of students failed in both the subjects is decreased by 60% and the number of students failed in exactly one subject went up by 20%. How many students passed in both the subjects?4) After all the students who failed in exactly one subject have taken a re- exam in the subject in which they failed. It was found that the number of students who passed in both the subjects increased by 60 What is the least value for the percentage of students in the class who failed only in marketing? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A class 60% of the students passed in Finance. Among those passed in Finance, 33% passed in Marketing. 150 students Failed in both the subjects rd of the students who passed in marketing failed in Finance.1) How many students are there in the class?2) What percentage of total students failed in finance only?3) All the students who failed in at least one subject are given grace marks and it was found that the number of students failed in both the subjects is decreased by 60% and the number of students failed in exactly one subject went up by 20%. How many students passed in both the subjects?4) After all the students who failed in exactly one subject have taken a re- exam in the subject in which they failed. It was found that the number of students who passed in both the subjects increased by 60 What is the least value for the percentage of students in the class who failed only in marketing? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A class 60% of the students passed in Finance. Among those passed in Finance, 33% passed in Marketing. 150 students Failed in both the subjects rd of the students who passed in marketing failed in Finance.1) How many students are there in the class?2) What percentage of total students failed in finance only?3) All the students who failed in at least one subject are given grace marks and it was found that the number of students failed in both the subjects is decreased by 60% and the number of students failed in exactly one subject went up by 20%. How many students passed in both the subjects?4) After all the students who failed in exactly one subject have taken a re- exam in the subject in which they failed. It was found that the number of students who passed in both the subjects increased by 60 What is the least value for the percentage of students in the class who failed only in marketing?.
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A class 60% of the students passed in Finance. Among those passed in Finance, 33% passed in Marketing. 150 students Failed in both the subjects rd of the students who passed in marketing failed in Finance.1) How many students are there in the class?2) What percentage of total students failed in finance only?3) All the students who failed in at least one subject are given grace marks and it was found that the number of students failed in both the subjects is decreased by 60% and the number of students failed in exactly one subject went up by 20%. How many students passed in both the subjects?4) After all the students who failed in exactly one subject have taken a re- exam in the subject in which they failed. It was found that the number of students who passed in both the subjects increased by 60 What is the least value for the percentage of students in the class who failed only in marketing?, a detailed solution for A class 60% of the students passed in Finance. Among those passed in Finance, 33% passed in Marketing. 150 students Failed in both the subjects rd of the students who passed in marketing failed in Finance.1) How many students are there in the class?2) What percentage of total students failed in finance only?3) All the students who failed in at least one subject are given grace marks and it was found that the number of students failed in both the subjects is decreased by 60% and the number of students failed in exactly one subject went up by 20%. How many students passed in both the subjects?4) After all the students who failed in exactly one subject have taken a re- exam in the subject in which they failed. It was found that the number of students who passed in both the subjects increased by 60 What is the least value for the percentage of students in the class who failed only in marketing? has been provided alongside types of A class 60% of the students passed in Finance. Among those passed in Finance, 33% passed in Marketing. 150 students Failed in both the subjects rd of the students who passed in marketing failed in Finance.1) How many students are there in the class?2) What percentage of total students failed in finance only?3) All the students who failed in at least one subject are given grace marks and it was found that the number of students failed in both the subjects is decreased by 60% and the number of students failed in exactly one subject went up by 20%. How many students passed in both the subjects?4) After all the students who failed in exactly one subject have taken a re- exam in the subject in which they failed. It was found that the number of students who passed in both the subjects increased by 60 What is the least value for the percentage of students in the class who failed only in marketing? theory, EduRev gives you an
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