When a student scores 30% marks, he fails by 5 marks. But when he scores 40% marks, he gets 10 more marks than passing marks. Find the passing percentage.

33\(\frac{1}{3}\)%

Let total marks = x

30% of x +5 = 40% of x -10

15 = 10% of x

15= \(\frac{1}{10}\) x

150 = x (total marks)

Passing % = 30% + \(\frac{5}{150}\) × 100

                  = 30% + 3\(\frac{1}{3}\)%

                  = 33\(\frac{1}{3}\)%