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25 Apr 2017, 00:28
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50% of students’ study science and 30% of science students score more than 80% marks in the exam. If 40% of all students (science + non-science) get more than 80% marks in exam, what percentage of non-science students score less than 80% marks?
A. 30%
B. 40%
C. 50%
D. 60%
E. 70%
A. 30%
B. 40%
C. 50%
D. 60%
E. 70%
25 Apr 2017, 00:48
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50% of students’ study science and 30% of science students score more than 80% marks in the exam. If 40% of all students(science + non-science) get more than 80% marks in exam, what percentage of non-science students score less than 80% marks?
let number of students = 100
S= science students
NS = Non Science Students
S=50 means NS = 50
S who score more than 80% = 0.3*50 = 15
40 students get more than 80%
NS who scoremore than 80% = 40-15=25
Total NS = 50
NS who score less than 80% = 50-25 = 25
percentage of NS who score less than 80% = 25/50 * 100 = 50%
Hence answer is C
let number of students = 100
S= science students
NS = Non Science Students
S=50 means NS = 50
S who score more than 80% = 0.3*50 = 15
40 students get more than 80%
NS who scoremore than 80% = 40-15=25
Total NS = 50
NS who score less than 80% = 50-25 = 25
percentage of NS who score less than 80% = 25/50 * 100 = 50%
Hence answer is C
IMHO C
Given 50% of students are science and rest are non science.
Of the science students only 30 % have scored more than 80%.
Given total number of students who have scored more than 80% is 40. Which is the mean score of more than 80% for the entire group.
Let us assume the number of students who have scored more than 80% in thenon science group to be x.
Using alligation and taking the given ratios of science to non science to be 1:1 we get.
X-40=10
X= 50%
Now the question asks what is the percentage of people in the non science group who have not got more than 80%.
Now this is 100% - x which is 50%.
Hence we get C
Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Given 50% of students are science and rest are non science.
Of the science students only 30 % have scored more than 80%.
Given total number of students who have scored more than 80% is 40. Which is the mean score of more than 80% for the entire group.
Let us assume the number of students who have scored more than 80% in thenon science group to be x.
Using alligation and taking the given ratios of science to non science to be 1:1 we get.
X-40=10
X= 50%
Now the question asks what is the percentage of people in the non science group who have not got more than 80%.
Now this is 100% - x which is 50%.
Hence we get C
Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
