if in an exm total mark is 600 and if anyone got 565 marks then how many percentage she had got ?
if in an exm total mark is 600 and if anyone got 565 marks then how many percentage she had got ?
The Correct Answer and Explanation is:
To calculate the percentage, we use the basic formula: Percentage=(Obtained MarksTotal Marks)×100\text{Percentage} = \left( \frac{\text{Obtained Marks}}{\text{Total Marks}} \right) \times 100
In this case: Percentage=(565600)×100=94.17%\text{Percentage} = \left( \frac{565}{600} \right) \times 100 = 94.17\%
Detailed Explanation
Understanding how to calculate percentages is a fundamental skill in both academic and real-world contexts. In examinations, percentages are often used to represent a student’s performance relative to the total possible marks. This method provides a standardized way of comparing performance regardless of the total number of marks in different exams.
In this scenario, the total marks for the exam are 600, and the student has obtained 565 marks. To determine what portion of the total marks the student scored, we divide the obtained marks by the total marks: 565600=0.9417\frac{565}{600} = 0.9417
This decimal value represents the fraction of the total marks the student achieved. To express it as a percentage (a more intuitive format), we multiply it by 100: 0.9417×100=94.17%0.9417 \times 100 = 94.17\%
So, the student scored 94.17% in the exam.
A score of 94.17% is generally considered excellent, indicating a high level of understanding and mastery of the subject matter. This percentage-based evaluation allows for fairer grading, especially in institutions where different subjects or papers have varying total marks. By converting marks into a percentage, educators and institutions can compare performance more effectively and make decisions regarding academic distinctions, scholarships, and progression.
Additionally, knowing how to convert scores into percentages helps students track their own performance over time and set measurable academic goals. It also plays an important role in competitive exams, where cutoff percentages are often used to shortlist candidates.
In conclusion, 565 out of 600 equals 94.17%, and this method of calculation is a vital academic and practical skill.
