A student has to secure 40% marks to pass in a test. If he gets 135 marks and fails by 25 marks, what is the total marks of the test?800300500400

1. Break Down the Problem

We need to find the total marks of the test based on the information provided about the passing marks and the student's performance.

2. Relevant Concepts

Let:

• $T$ = total marks of the test
• Passing marks = $0.40T$ (since 40% is required to pass)

The student received 135 marks but failed by 25 marks. This means the passing marks can also be expressed as: $135 + 25 = 160$

3. Analysis and Detail

Since we know that the passing marks must be equal to the total marks multiplied by 40%, we can set up the equation: $0.40T = 160$

4. Verify and Summarize

To find $T$, we can rearrange the equation: $T = \frac{160}{0.40}$ Calculating this gives: $T = 400$

Final Answer

The total marks of the test is $400$.