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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 overall percentage?

Options:

  1. 76%
  2. 78%
  3. 80%
  4. 74%

Correct Answer: 78%

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 overall percentage?
  1. 76%
  2. 78%
  3. 80%
  4. 74%

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 overall percentage?
  • Step 1: Identify the scores in each subject. The student scored 80% in Mathematics and 70% in Science.
  • Step 2: Identify the weightage of each subject. Mathematics has a weightage of 60% and Science has a weightage of 40%.
  • Step 3: Convert the weightage percentages into decimal form. 60% becomes 0.6 and 40% becomes 0.4.
  • Step 4: Calculate the weighted score for Mathematics by multiplying the score by its weightage: 80% × 0.6 = 48%.
  • Step 5: Calculate the weighted score for Science by multiplying the score by its weightage: 70% × 0.4 = 28%.
  • Step 6: Add the weighted scores from both subjects together: 48% + 28% = 76%.
  • Step 7: The overall percentage is 76%.
  • Weighted Average – Calculating an overall percentage based on different weights assigned to each subject.
  • Percentage Calculation – Understanding how to convert scores into percentages and apply them in calculations.
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