Correct Answer - Option 2 : 400
Given:
The passing marks required in an exam are 50%.
A student scores 33% of the total marks and fail by 68 marks.
Concepts used:
Actual marks of student + Marks by which student fail = Minimum passing marks
Actual marks of student = Actual scoring percentage of student × Maximum marks
Calculation:
A student scores 33% of the total marks and fail by 68 marks.
Let maximum marks of student be x.
⇒ Actual marks of student = Actual scoring percentage of student × Maximum marks
⇒ Actual marks of student = 0.33 × x = 0.33x
The passing marks required in an exam are 50%.
⇒ Passing marks = 0.50x
Actual marks of student + Marks by which student fail = Minimum passing marks
⇒ 0.33x + 68 = 0.50x
⇒ 0.50x – 0.33x = 68
⇒ 0.17x = 68
⇒ x = 400
∴ Maximum marks of the exam are equal to 400 marks.
