A student required 40% of marks to pass in an examination. But he scored only 110 marks and failed by 10 marks. Find the maximum marks.
Passing marks = 40%
Student scored = 110
Failed by = 10 marks
So, passing marks = 110 + 10 = 120
Let total marks = x
40% of x = 120
(40/100) × x = 120
x = (120 × 100) ÷ 40
x = 300
The maximum marks of the exam is 300 marks.
We use percentage formula here. Student needed 120 to pass, which is 40% of total. So we find total marks using simple calculation. This type question is very important for school exams, SSC, and entrance exams.