Correct Answer - Option 3 : 61
Given:
Average of six subjects = 75
Average of seven subjects = 73
Formula used:
Average = Sum of values/number of values
Calculation:
The average marks of a student in six subjects = 75
The sum of marks of a student in six subjects = 75 × 6
⇒ 450
The average marks in seven subjects, including Maths = 73
The sum of marks of a student in seven subjects = 73 × 7
⇒ 511
Marks scored in Maths = The sum of marks included maths - the sum of marks with out Maths
Marks scored in Maths = 511 - 450
⇒ 61
∴ Marks scored in Maths is 61.