Aditya appeared in a competitive exam in which the final grades are determined by three different exams of 100 marks having weights 20%, 35% and 45%, respectively. If Aditya scored 80, 70 and 60 marks in these exams, respectively, then what is the weighted average score of Aditya?

Correct option is C

Given:

Exam 1: 80 marks, weight = 20%

Exam 2: 70 marks, weight = 35%

Exam 3: 60 marks, weight = 45%

Formula Used:

Weighted Average = $$\frac{(x_1w_1 + x_2w_2 + x_3w_3)}{w_1 + w_2 + w_3}$$​​

Solution:

Since weights are in %, denominator = 100

Weighted Average = $$\frac{(80 \times 20) + (70 \times 35) + (60 \times 45)}{100}$$​​

​$$= \frac{1600 + 2450 + 2700}{100} \\ \ \\= \frac{6750}{100} = 67.5$$​​