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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%


Team Careers360 1st Jan, 2024
Answer (1)
Team Careers360 10th Jan, 2024

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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