Question : 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?
Option 1: 76.5%
Option 2: 80.5%
Option 3: 82.5%
Option 4: 85.5%
Correct Answer: 82.5%
Solution :
According to the question,
Total marks obtained by X in all subjects = Maths + Physics + Chemistry + Botany + Hindi
Marks obtained in Maths = 70% of 300 = 0.70 × 300 = 210
Marks obtained in Physics = 90% of 300 = 0.90 × 300 = 270
Marks obtained in Chemistry = 95% of 200 = 0.95 × 200 = 190
Marks obtained in Botany = 80% of 100 = 0.80 × 100 = 80
Marks obtained in Hindi = 75% of 100 = 0.75 × 100 = 75
Total marks obtained = 210 + 270 + 190 + 80 + 75 = 825 marks
Maximum marks = 300 + 300 + 200 + 100 + 100 = 1000
Percentage of marks obtained = $\frac{825}{1000} \times 100$ = 82.5%
∴ The average marks, in percentage, obtained by X is 82.5%
Hence, the correct answer is 82.5%
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