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?
76%
78%
80%
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.
