In a class 20% students failed 60% students scored average marks and the remaining above average marks find number of students in the class ?
20% failed
60% average
20% above average
However, no actual NUMBERS of students have been given!
To find the number of students in the class, we need more information. The information given about the percentages of students who failed, scored average marks, and scored above average marks is not sufficient to determine the total number of students in the class.
To find the number of students in the class, we need to know the total percentage of students who failed, scored average marks, and scored above average marks.
Let's assume the total number of students in the class is "x".
If 20% of students failed, then the number of students who failed would be 20% of x, which is (20/100)*x = 0.2x.
If 60% of students scored average marks, then the number of students who scored average marks would be 60% of x, which is (60/100)*x = 0.6x.
Since we now have accounted for the percentage of students who failed and scored average marks, the remaining students (100% - 20% - 60% = 20%) scored above average marks.
Therefore, the number of students who scored above average marks would be 20% of x, which is (20/100)*x = 0.2x.
Adding up the number of students who failed, scored average marks, and scored above average marks should give us the total number of students in the class:
0.2x + 0.6x + 0.2x = x
Combining like terms, we get:
1x = x
Since the variable "x" cancels out on both sides, we can conclude that the number of students in the class is infinite.