In a test, a candidate secured 468 marks out of maximum marks 'A'. If the maximum marks 'A' were converted to 700 marks, he would have secured 336 marks. What were the maximum marks of the test ?

Options

A. 775
B. 875
C. 975
D. 1075

Answer

To find the maximum marks 'A' in the test, we can set up a proportion based on the information given in the problem.

1. **Understanding the given information**:
- The candidate scored 468 marks out of a maximum of 'A' marks.
- If the maximum marks 'A' were converted to 700 marks, the candidate would have scored 336 marks.

2. **Setting up the proportion**:
- The proportion can be set up as follows:
\[ \frac{468}{A} = \frac{336}{700} \]

3. **Cross-multiplying to solve for A**:
- Cross-multiplying gives us:
\[ 468 \times 700 = 336 \times A \]

4. **Calculating the left side**:
- Calculate \( 468 \times 700 \):
\[ 468 \times 700 = 327600 \]

5. **Setting up the equation**:
- Now we have:
\[ 327600 = 336 \times A \]

6. **Solving for A**:
- To find A, divide both sides by 336:
\[ A = \frac{327600}{336} \]

7. **Calculating A**:
- Performing the division:
\[ A = 975 \]

Thus, the maximum marks of the test are **975**.