Question : A person scores 45% of the total marks in the exam and still fails by 40 marks. The passing percentage of the exam is 55%. What is the maximum mark for the exam?
Option 1: 300
Option 2: 350
Option 3: 400
Option 4: 500
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Correct Answer: 400
Solution : Given: The passing percentage of the exam is 55%. Let maximum marks be $x$. According to the question, 45% of $x$ + 40 = 55% of $x$ ⇒ 10% of $x$ = 40 ⇒ $\frac{10×x}{100}$ = 40 ⇒ $x$ = 400 So, the maximum mark for the exam is 400. Hence, the correct answer is 400.
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