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?400200500350
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?400200500350
Solution
Let's solve this step by step:
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According to the problem, A scores 10% marks and still fails by 30 marks. This means that the passing mark is 10% of total marks + 30 marks.
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Similarly, B scores 40% marks and gets 30 marks more than the minimum passing mark. This means that 40% of total marks is equal to the passing mark + 30 marks.
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From the above two points, we can set up the following equation:
10% of total marks + 30 = 40% of total marks - 30
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Simplifying the equation, we get:
30% of total marks = 60
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Therefore, the total marks (100%) would be (60 / 30%) = 200.
So, the maximum marks for the exam are 200.
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