A scores 10% and fails by 30 marks.B scores 40% marks and gets 30 marks more than the minimum marks needed to pass the exam. What are the maximum marks for the exam?Options500300200700
Question
A scores 10% and fails by 30 marks.B scores 40% marks and gets 30 marks more than the minimum marks needed to pass the exam. What are the maximum marks for the exam?Options500300200700
Solution
To solve this problem, we need to set up two equations based on the information given.
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For A: If A scores 10% and still fails by 30 marks, then the passing mark is 10% of total marks + 30. We can express this as: 0.10X + 30 = Pass Mark
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For B: If B scores 40% and gets 30 marks more than needed to pass, then the passing mark is 40% of total marks - 30. We can express this as: 0.40X - 30 = Pass Mark
Since both equations are equal to the Pass Mark, we can set them equal to each other and solve for X (the total marks):
0.10X + 30 = 0.40X - 30
This simplifies to:
0.30X = 60
So, X = 60 / 0.30 = 200
Therefore, the maximum marks for the exam are 200.
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