Question

In an examination, it is required to get 300 marks to pass. A student gets 225 marks and is declared fail by 10%. The maximum marks in the examination are:

• A. 700
• B. 750
• C. 800
• D. 850

Answer 1

The Correct Option is B

To determine the maximum marks in the examination, we analyze the provided information: The passing mark is 300. A student scoring 225 failed by 10%. This implies the passing mark is 10% higher than the student's score.

Let \( M \) represent the maximum marks. The passing percentage is calculated as:

\[\frac{300}{M} \times 100\]

The student's obtained percentage is:

\[\frac{225}{M} \times 100\]

As per the problem statement, the student's percentage is 10% less than the passing percentage:

\[\frac{300}{M} \times 100 = \left(\frac{225}{M} \times 100\right) + 10\]

Simplifying this equation to solve for \( M \):

\(\frac{300 \times 100}{M} = \frac{225 \times 100}{M} + 10\)

Clearing the fractions yields:

\(30000 = 22500 + 10M\)

Solving for \( M \):

\(30000 - 22500 = 10M\)

\(7500 = 10M\)

Dividing both sides by 10:

\(M = 750\)

Therefore, the maximum marks are \( 750 \).