Question
Download Solution PDFIn an examination a candidate had to sit for three papers A, B, and C. The candidate secured 75% marks in Paper A, 80% marks in Paper B, and 60% marks in Paper C. If the weightage assigned to Papers A, B, and C were 40%, 50% and 10%, respectively, then find the weighted percentage of marks obtained by the candidate, when all the three papers were taken together.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
The candidate secured 75% marks in Paper A, 80% marks in Paper B, and 60% marks in Paper C
Formula
The weighted average of values is the sum of the weight times values divided by the sum of the weights.
Calculation
Let the maximum mark on each paper be 100.
Marks in Paper A = 75% of 100 = 75
Marks in Paper B = 80% of 100 = 80
Marks in Paper C = 60% of 100 = 60
Weightage of Paper A = 40% of 75 = 30
Weightage of Paper B = 50% of 80 = 40
Weightage of Paper C = 10% of 60= 6
The weighted percentage of marks obtained by the candidate
= (30 + 40 + 6)/100 × 100
= 76%
The weighted percentage of marks obtained by the candidate is 76%.
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