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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