Aryan got 350 marks and Vidya scored 76% marks in the same test. If Vidya scored 296 marks more than Aryan, then what were the maximum marks of the test?

Options

A. 650
B. 900
C. 850
D. 950

Answer

To solve the problem step by step, we can follow these calculations:

### Step 1: Understand the given information
- Aryan scored 350 marks.
- Vidya scored 76% of the maximum marks (let's denote maximum marks as \( m \)).
- Vidya scored 296 marks more than Aryan.

### Step 2: Set up the equation
From the information given:
- Vidya's score can be expressed as \( 0.76m \) (since 76% of \( m \)).
- The difference in their scores can be expressed as:
\[ 0.76m - 350 = 296 \]

### Step 3: Rearranging the equation
To find \( m \), we can rearrange the equation:
\[ 0.76m = 350 + 296 \]
Calculating the right side:
\[ 0.76m = 646 \]

### Step 4: Solve for \( m \)
Now, we can solve for \( m \) by dividing both sides by 0.76:
\[ m = \frac{646}{0.76} \]

### Step 5: Calculate \( m \)
To simplify the division:
\[ m = \frac{646 \times 100}{76} \]
Calculating \( 646 \times 100 = 64600 \) and then dividing by 76:
\[ m = \frac{64600}{76} \]
Calculating \( 64600 \div 76 \):
\[ m = 850 \]

### Conclusion
The maximum marks of the test are \( 850 \).