In an examination, passing percentage is 33%. A student secured 42 marks and failed by 24 marks. Find the maximum marks of the examination.Options150100180200
Question
In an examination, passing percentage is 33%. A student secured 42 marks and failed by 24 marks. Find the maximum marks of the examination.
Options:
- 150
- 100
- 180
- 200
Solution
1. Break Down the Problem
To find the maximum marks of the examination, we need to determine:
- The passing marks based on the passing percentage.
- The relationship between the marks obtained by the student, the passing marks, and the maximum marks.
2. Relevant Concepts
The passing percentage is 33%. This means the passing marks can be represented as:
The student secured 42 marks and failed by 24 marks. Therefore:
3. Analysis and Detail
Now, we can set up the equation using the passing marks:
To find the maximum marks, we rearrange the equation:
Now performing the calculation:
4. Verify and Summarize
After calculating, we find that the maximum marks for the examination is 200. This checks out with our original assumptions and calculations.
Final Answer
The maximum marks of the examination is 200.
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