Prachi scored 490 marks out of 700 in the annual examination. How many percent marks did she score?
The correct answer and explanation is:
Correct Answer:
Prachi scored 70% marks in the annual examination.
Explanation (300 words)
To determine the percentage of marks Prachi scored in her annual examination, we use the formula for calculating percentage: Percentage=(Marks obtainedTotal marks)×100\text{Percentage} = \left(\frac{\text{Marks obtained}}{\text{Total marks}}\right) \times 100
In Prachi’s case:
- Marks obtained = 490
- Total marks = 700
Substitute these values into the formula: Percentage=(490700)×100\text{Percentage} = \left(\frac{490}{700}\right) \times 100
First, simplify the fraction: 490700=0.7\frac{490}{700} = 0.7
Then multiply by 100: 0.7×100=70%0.7 \times 100 = 70\%
So, Prachi scored 70 percent of the total marks.
Understanding the Concept
Percentage is a way of expressing a number as a fraction of 100. It is commonly used to compare values and evaluate performance. In academic settings, marks are often converted into percentages to assess and grade students fairly.
In this example, out of the total 700 marks, Prachi achieved 490. To determine how well she did, we calculate what portion (or percent) of the total she scored. A 70% score generally indicates above-average performance, assuming the grading system is standard.
This method of calculating percentages is crucial in many areas beyond academics, such as finance (profit/loss), statistics, and data analysis. Understanding how to convert raw scores into percentages allows for easier comparisons and better interpretation of data.
In conclusion, by applying the basic percentage formula and understanding its use, we find that Prachi scored 70%, which is a clear and straightforward measure of her performance in the annual examination.