Correct Answer - Option 3 : 74
Given:
The average marks of 12 students in a paper are 46.
If the marks of two new students are considered, the average marks increase by 4.
Formula used:
Average marks = (Sum of the marks)/(Number of students)
Calculation:
Average marks = Sum of the marks/Number of students
⇒ 46 = Sum of the marks/12
⇒ Sum of the marks = 12 × 46
⇒ 552.
Let the marks of two new students be x and y.
According to question,
⇒ (552 + x + y)/14 = 50
⇒ (552 + x + y) = 700
⇒ (x + y) = 148
Average marks of two new students = 148/2 = 74.
∴ The average marks of two new students is 74.