A student's average marks in 15 examinations are 45. How many marks must he score in the next examination to increase his average marks by 2?

Correct option is B

Calculate Current Total Marks

Multiply the current average (45) by the number of exams (15): 45 × 15 = 675

Calculate Target Total Marks

Multiply the desired average (47) by the total number of exams after the next exam (16): 47 × 16 = 752

Calculate Required Marks in Next Exam

Subtract the current total marks (675) from the target total marks (752): 752 - 675 = 77