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Anita has obtained 450 marks in an exami...

Anita has obtained 450 marks in an examination. If she obtained `75%` of the total marks, find the total marks.

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To find the total marks based on the information given in the question, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Problem**: We know that Anita scored 450 marks, which is 75% of the total marks. We need to find out what the total marks (let's call it \( x \)) are. 2. **Set Up the Equation**: Since 75% of the total marks is equal to 450, we can express this mathematically as: \[ \frac{75}{100} \times x = 450 \] 3. **Convert Percentage to Decimal**: To simplify, we can convert 75% to a decimal: \[ 0.75 \times x = 450 \] 4. **Isolate \( x \)**: To find \( x \), we can rearrange the equation: \[ x = \frac{450}{0.75} \] 5. **Perform the Division**: Now, we will calculate \( \frac{450}{0.75} \): \[ x = 450 \div 0.75 \] To make the division easier, we can multiply both the numerator and the denominator by 100: \[ x = \frac{450 \times 100}{75} = \frac{45000}{75} \] 6. **Simplify the Fraction**: Now, we can simplify \( \frac{45000}{75} \): \[ 45000 \div 75 = 600 \] 7. **Conclusion**: Therefore, the total marks \( x \) is: \[ x = 600 \] ### Final Answer: The total marks are **600**.
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