The following table shows the percentage of marks obtained by five students - V, W, X, Y and Z - in five subjects.
| Subjects → | Maths | Physics | Chemistry | Botany | Hindi |
| Maximum Marks → | 300 | 300 | 200 | 100 | 100 |
| Students ↓ | |||||
| V | 60 | 80 | 90 | 100 | 95 |
| W | 90 | 70 | 80 | 70 | 40 |
| X | 70 | 90 | 95 | 80 | 75 |
| Y | 80 | 60 | 70 | 95 | 80 |
| Z | 90 | 50 | 80 | 85 | 85 |
What are the average marks, in percentage, obtained by X?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 82.5%.
The marks obtained in Math by X = 0.70 × 300 = 210
The marks obtained in Physics by X = 0.90 × 300 = 270
The marks obtained in Chemistry by X = 0.95 × 200 = 190
The marks obtained in Botany by X = 0.80 × 100 = 80
The marks obtained in Hindi by X = 0.75 × 100 = 75
So, the total marks obtained by X = (210 + 270 + 190 + 80 + 75) = 825
Total maximum marks of subjects = 300 + 300 + 200 + 100 + 100 = 1000
Hence, the average marks in percentage obtained by X = 825 × 100/1000