Question : The following table shows the percentage of marks obtained by five students - V, W, X, Y and Z - in five subjects.
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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