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A student scored 75% in Mathematics and 85% in Science. If the weightage of Math

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Question: A student scored 75% in Mathematics and 85% in Science. If the weightage of Mathematics is 40% and Science is 60%, what is the overall percentage score of the student? (2023)

Options:

  1. 80%
  2. 82%
  3. 83%
  4. 84%

Correct Answer: 83%

Exam Year: 2023

Solution: 

Overall percentage = (75% * 0.4) + (85% * 0.6) = 30% + 51% = 81%.

A student scored 75% in Mathematics and 85% in Science. If the weightage of Math

Practice Questions

Q1
A student scored 75% in Mathematics and 85% in Science. If the weightage of Mathematics is 40% and Science is 60%, what is the overall percentage score of the student? (2023)
  1. 80%
  2. 82%
  3. 83%
  4. 84%

Questions & Step-by-Step Solutions

A student scored 75% in Mathematics and 85% in Science. If the weightage of Mathematics is 40% and Science is 60%, what is the overall percentage score of the student? (2023)
  • Step 1: Identify the scores in each subject. The student scored 75% in Mathematics and 85% in Science.
  • Step 2: Identify the weightage of each subject. Mathematics has a weightage of 40% and Science has a weightage of 60%.
  • Step 3: Convert the weightage percentages into decimal form. 40% becomes 0.4 and 60% becomes 0.6.
  • Step 4: Calculate the weighted score for Mathematics by multiplying the score by its weightage: 75% * 0.4 = 30%.
  • Step 5: Calculate the weighted score for Science by multiplying the score by its weightage: 85% * 0.6 = 51%.
  • Step 6: Add the weighted scores from both subjects together: 30% + 51% = 81%.
  • Step 7: The overall percentage score of the student is 81%.
  • Weighted Average – The calculation of an overall score based on different weights assigned to individual scores.
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