Question

X got 98 marks in his exam which is 56 of the total marks. What is the maximum marks of the exam?

• A. \( 150 \)
• B. \( 175 \)
• C. \( 200 \)
• D. \( 225 \)

Hint:

\textbf{Percentage Problems.} When dealing with percentage problems, remember the basic formula: \( \text{Percentage} \times \text{Total Value} = \text{Given Value} \). You can rearrange this formula to find any of the unknown variables.

Answer 1

The Correct Option is B

Let the maximum marks of the exam be \(M\). According to the problem, X got 98 marks, which is 56% of the total marks. We can express this as: $$ 56 \text{ of } M = 98 $$ $$ \frac{56}{100} \times M = 98 $$ To find the maximum marks \(M\), we can rearrange the equation: $$ M = \frac{98 \times 100}{56} $$ $$ M = \frac{9800}{56} $$ Now, we can simplify the fraction: Divide both numerator and denominator by their greatest common divisor. We can start by dividing by 2: $$ M = \frac{4900}{28} $$ Divide by 2 again: $$ M = \frac{2450}{14} $$ Divide by 2 again: $$ M = \frac{1225}{7} $$ Now, divide 1225 by 7: $$ M = 175 $$ So, the maximum marks of the exam are 175. Therefore, the correct option is (B)