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A student scored 75% in Mathematics and 85% in Science. If the total marks for e

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Question: A student scored 75% in Mathematics and 85% in Science. If the total marks for each subject are 200, what is the student\'s overall percentage? (2023)

Options:

  1. 80%
  2. 82.5%
  3. 78%
  4. 76%

Correct Answer: 82.5%

Exam Year: 2023

Solution: 

Total marks obtained = 75% of 200 + 85% of 200 = 150 + 170 = 320. Total marks = 200 + 200 = 400. Overall percentage = (320/400) * 100 = 80%.

A student scored 75% in Mathematics and 85% in Science. If the total marks for e

Practice Questions

Q1
A student scored 75% in Mathematics and 85% in Science. If the total marks for each subject are 200, what is the student's overall percentage? (2023)
  1. 80%
  2. 82.5%
  3. 78%
  4. 76%

Questions & Step-by-Step Solutions

A student scored 75% in Mathematics and 85% in Science. If the total marks for each subject are 200, what is the student's overall percentage? (2023)
  • Step 1: Calculate the marks obtained in Mathematics. Since the student scored 75% in Mathematics and the total marks are 200, we calculate 75% of 200.
  • Step 2: Calculate 75% of 200. This is done by multiplying 200 by 0.75, which equals 150.
  • Step 3: Calculate the marks obtained in Science. The student scored 85% in Science, so we calculate 85% of 200.
  • Step 4: Calculate 85% of 200. This is done by multiplying 200 by 0.85, which equals 170.
  • Step 5: Add the marks obtained in both subjects. We add the marks from Mathematics (150) and Science (170) together: 150 + 170 = 320.
  • Step 6: Calculate the total marks possible. Since there are two subjects and each subject has a total of 200 marks, we calculate 200 + 200 = 400.
  • Step 7: Calculate the overall percentage. We take the total marks obtained (320) and divide it by the total marks possible (400), then multiply by 100: (320 / 400) * 100.
  • Step 8: Simplify the calculation. (320 / 400) equals 0.8, and multiplying by 100 gives us 80%.
  • Step 9: The overall percentage of the student is 80%.
  • Percentage Calculation – Understanding how to calculate percentages from given scores and total marks.
  • Weighted Average – Combining scores from different subjects to find an overall percentage.
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