A student has to get 40% marks to pass in an examination. Suppose he gets 30 marks and fails by 30 marks, then what are the maximum marks in the examination?

Correct Option

To determine the maximum marks, first calculate the total marks required to pass the examination. The student scored 30 marks and failed by 30 marks. Therefore, the passing marks are:

Passing Marks = Marks Scored + Marks by which student failed

Passing Marks = 30 + 30 = 60 marks

It is stated that 40% of the maximum marks are required to pass. Let the maximum marks be 'x'.

$$40\mathrm{\%}\text{ of }x=60$$

$$\frac{40}{100}\times x=60$$

To solve for x:

$$x=\frac{60\times 100}{40}$$

$$x=\frac{6000}{40}$$

$$x=150$$

Thus, the maximum marks in the examination are 150.

Incorrect Options

If the maximum marks were 100 (Option 1), the passing marks (40% of 100) would be 40. A student scoring 30 marks would fail by 10 marks, which contradicts the given condition of failing by 30 marks.

If the maximum marks were 120 (Option 2), the passing marks (40% of 120) would be 48. A student scoring 30 marks would fail by 18 marks, which contradicts the given condition.

If the maximum marks were 300 (Option 4), the passing marks (40% of 300) would be 120. A student scoring 30 marks would fail by 90 marks, which contradicts the given condition.