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
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
To solve this problem, we first need to find out how many marks the student would have needed to pass the exam. Since the student failed by 24 marks, we add these 24 marks to the 42 marks the student already secured. This gives us 66 marks, which is the passing mark.
Next, we know that the passing percentage is 33%. This means that 66 marks is 33% of the total marks of the examination.
We can set up the equation: 33/100 * Total marks = 66
To find the total marks, we rearrange the equation to: Total marks = 66 / (33/100)
Solving this equation gives us the total marks of the examination, which is 200.
So, the maximum marks of the examination is 200.
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