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The maximum marks per paper in  3 subjects in Mathematics , Physics and Chemistry are set in the ratio 1 : 2 : 3 respectively. Giri obtained 40% in Mathematics, 60% in Physics and 35% in Chemistry papers. What is overall percentage marks did he get overall?
  • a)
    44%
  • b)
    32%
  • c)
    50%
  • d)
    60%
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The maximum marks per paper in 3 subjects in Mathematics , Physics and...
40*1/100  : 60*2/100 : 35*3/100 = 0.4:1.2:1.05
Overall % =100* [0.4+1.2+1.05]/1+2+3 = 265/6 = 44.16 = 44%
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Community Answer
The maximum marks per paper in 3 subjects in Mathematics , Physics and...
Understanding the Mark Distribution
The maximum marks for each subject are in the ratio of 1:2:3 for Mathematics, Physics, and Chemistry, respectively. Let's assign the maximum marks:
- Mathematics = 1x
- Physics = 2x
- Chemistry = 3x
The total maximum marks for all subjects combined will be:
- Total = 1x + 2x + 3x = 6x
Calculating Giri's Scores
Now, let's calculate Giri's marks in each subject based on his percentages:
- Mathematics: Giri scored 40% of 1x:
- Marks = 0.40 * 1x = 0.4x
- Physics: Giri scored 60% of 2x:
- Marks = 0.60 * 2x = 1.2x
- Chemistry: Giri scored 35% of 3x:
- Marks = 0.35 * 3x = 1.05x
Calculating Overall Marks Obtained
Now, let's find the total marks Giri obtained:
- Total Marks Obtained = 0.4x + 1.2x + 1.05x = 2.65x
Calculating Overall Percentage
To find the overall percentage, we use the formula:
- Overall Percentage = (Total Marks Obtained / Total Maximum Marks) * 100
Substituting the values:
- Overall Percentage = (2.65x / 6x) * 100 = (2.65 / 6) * 100 ≈ 44.17%
Thus, Giri's overall percentage is approximately 44%.
Conclusion
The overall percentage of marks Giri obtained is approximately 44%, which corresponds to option 'A'.
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