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A student scored 80% in Mathematics and 70% in Science. If the weightage of Math

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Question: A student scored 80% in Mathematics and 70% in Science. If the weightage of Mathematics is 60% and Science is 40%, what is the student\'s overall percentage?

Options:

  1. 76%
  2. 78%
  3. 80%
  4. 82%

Correct Answer: 76%

Solution: 

Overall percentage = (80% * 0.6) + (70% * 0.4) = 48% + 28% = 76%.

A student scored 80% in Mathematics and 70% in Science. If the weightage of Math

Practice Questions

Q1
A student scored 80% in Mathematics and 70% in Science. If the weightage of Mathematics is 60% and Science is 40%, what is the student's overall percentage?
  1. 76%
  2. 78%
  3. 80%
  4. 82%

Questions & Step-by-Step Solutions

A student scored 80% in Mathematics and 70% in Science. If the weightage of Mathematics is 60% and Science is 40%, what is the student's overall percentage?
  • Step 1: Understand that the student has two subjects: Mathematics and Science.
  • Step 2: Note the scores: 80% in Mathematics and 70% in Science.
  • Step 3: Identify the weightage of each subject: Mathematics has a weightage of 60% and Science has a weightage of 40%.
  • Step 4: Convert the weightages from percentages to decimal form: 60% becomes 0.6 and 40% becomes 0.4.
  • Step 5: Calculate the contribution of Mathematics to the overall percentage: 80% * 0.6 = 48%.
  • Step 6: Calculate the contribution of Science to the overall percentage: 70% * 0.4 = 28%.
  • Step 7: Add the contributions from both subjects to find the overall percentage: 48% + 28% = 76%.
  • Weighted Average – The overall percentage is calculated by taking the weighted average of the scores based on their respective weightages.
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