Question
Download Solution PDFThe given table shows the percentage of marks obtained by 5 students in different subjects. Study the table and answer the question that follows. (Maximum marks are given beside subject)
Subjects → Students ↓ |
Physics 300 |
Maths 300 |
Music 100 |
Hindi 100 |
Botany 200 |
Ram | 60 | 80 | 90 | 60 | 95 |
Shyam | 90 | 70 | 80 | 70 | 40 |
Sohan | 70 | 90 | 95 | 80 | 75 |
Mohan | 80 | 60 | 70 | 95 | 80 |
Karn | 90 | 50 | 85 | 85 | 80 |
What are the marks (in percentage) obtained by Mohan?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The marks obtained by Mohan in different subjects are as follows:
Physics (300 marks): 80%
Maths (300 marks): 60%
Music (100 marks): 70%
Hindi (100 marks): 95%
Botany (200 marks): 80%
Calculations:
The actual marks obtained by Mohan in each subject.
Physics: \(80\% \text{ of } 300 = \frac{80}{100} \times 300 = 240 \text{ marks}\)
Maths: \(60\% \text{ of } 300 = \frac{60}{100} \times 300 = 180 \text{ marks}\)
Music: \( 70\% \text{ of } 100 = \frac{70}{100} \times 100 = 70 \text{ marks}\)
Hindi: \(95\% \text{ of } 100 = \frac{95}{100} \times 100 = 95 \text{ marks}\)
Botany: \(80\% \text{ of } 200 = \frac{80}{100} \times 200 = 160 \text{ marks}\)
Total marks obtained by Mohan = 240 + 180 + 70 + 95 + 160 = 745 marks
Maximum marks = 300 + 300 + 100 + 100 + 200 = 1000 marks
⇒ Percentage = \( \left(\frac{745}{1000}\right) \times 100\)
⇒ Percentage = 74.5%
∴ Mohan obtained 74.5% marks.
Mistake Points
The total maximum marks are different for all subjects. Marks are given in the percentage.
For example, Mohan's marks in Physics = 80 it's mean 80% of maximum marks = 80% of 300 = 240
Same as, Mohan's marks in Music = 70% of maximum marks of music = 70% of 100 = 70
So,
Total maximum marks = 1000
and
Marks achieved by Mohan = 745
So,
%Marks = (745/1000) * 100 = 74.5%
Last updated on Jun 26, 2025
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