The student who got the highest percentage of marks in P, C, M and B combined is:Stu/ Sub P C B M W 70 90 50 85 X 55 80 95 60 Y 60 20 90 40 Z 90 80 40 65
Identify Highest Percentage Marks Student
The question asks to find the student who obtained the highest percentage of marks across four subjects: P, C, B, and M. Each subject has a maximum of 100 marks.
Calculate Total Marks for Each Student
First, sum the marks obtained by each student in the four subjects.
| Student | Subject P | Subject C | Subject B | Subject M | Total Marks |
|---|---|---|---|---|---|
| W | 70 | 90 | 50 | 85 | $70 + 90 + 50 + 85 = 295$ |
| X | 55 | 80 | 95 | 60 | $55 + 80 + 95 + 60 = 290$ |
| Y | 60 | 20 | 90 | 40 | $60 + 20 + 90 + 40 = 210$ |
| Z | 90 | 80 | 40 | 65 | $90 + 80 + 40 + 65 = 275$ |
Calculate Percentage Marks for Each Student
The total maximum marks for the four subjects is $4 \times 100 = 400$. Calculate the percentage for each student using the formula:
$ \text{Percentage} = \left( \frac{\text{Total Marks Obtained}}{\text{Total Maximum Marks}} \right) \times 100 $
- Student W: $ \left( \frac{295}{400} \right) \times 100 = 73.75\% $
- Student X: $ \left( \frac{290}{400} \right) \times 100 = 72.50\% $
- Student Y: $ \left( \frac{210}{400} \right) \times 100 = 52.50\% $
- Student Z: $ \left( \frac{275}{400} \right) \times 100 = 68.75\% $
Determine Student with Highest Percentage
Comparing the percentages:
- W: $73.75\%$
- X: $72.50\%$
- Y: $52.50\%$
- Z: $68.75\%$
Student W has the highest percentage of marks.
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