**Question Statement:**
In an examination, it is required to get 300 marks to pass. A student gets 225 marks and is declared fail by 10% marks. What are the maximum marks of the examination?

Question

**Question Statement:**  
In an examination, it is required to get 300 marks to pass. A student gets 225 marks and is declared fail by 10% marks. What are the maximum marks of the examination?

Accepted Answer

**Step 1: Understand the problem**
- To pass the examination, a student needs $$300$$ marks.
- The student scored $$225$$ marks and failed by $$10\%$$ of the maximum marks.
- We need to find the maximum marks of the examination.

**Step 2: Formulate the relationship**
The student failed by $$10\%$$ of the maximum marks. This means that the difference between the passing marks ($$300$$) and the student's score ($$225$$) is equal to $$10\%$$ of the maximum marks.

Let the maximum marks be $$M$$. Then:
$$
300 - 225 = 0.1 	imes M
$$

**Step 3: Solve for $$M$$**
Simplify the equation:
$$
75 = 0.1 	imes M
$$

Divide both sides by $$0.1$$:
$$
M = \frac{75}{0.1} = 750
$$

### Final Answer:
The maximum marks of the examination are **750**.

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