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(B) Let the maximum marks of the exam be $x$.According to the problem,the student scores $45 \%$ of $x$ and fails by $40$ marks,meaning the passing ma

Vedclass · Accepted Answer

$400$

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(B) Let the maximum marks of the exam be $x$.According to the problem,the student scores $45 \%$ of $x$ and fails by $40$ marks,meaning the passing marks are $0.45x + 40$.The passing percentage is given as $55 \%$,so the passing marks are also $0.55x$.Equating the two expressions for passing marks: $0.45x + 40 = 0.55x$.Rearranging the terms: $0.55x - 0.45x = 40$.$0.10x = 40$.$x = \frac{40}{0.10} = 400$.Therefore,the maximum marks of the exam is $400$.

$A$ 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 marks of the exam?

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