How To Find Percentage Of Any Marks example:- 57/60 etc…
The correct answer and explanation is:
To find the percentage of any marks, use the following formula:
Percentage = (Obtained Marks / Total Marks) × 100
✅ Example:
You got 57 marks out of 60.
Apply the formula: Percentage=(5760)×100=0.95×100=95%\text{Percentage} = \left( \frac{57}{60} \right) \times 100 = 0.95 \times 100 = 95\%
So, 57 out of 60 is 95%.
📘 Explanation (Approx. 300 words):
Calculating percentage is a way of expressing a number as a fraction of 100. In the context of exams or assessments, the percentage helps you understand how well you performed in relation to the maximum possible marks.
To calculate the percentage of marks obtained, divide the marks you actually got (obtained marks) by the total marks possible, and then multiply the result by 100. This process converts the fraction or ratio into a percentage.
Let’s break it down:
- Numerator (top number) is the marks you obtained.
- Denominator (bottom number) is the total marks available.
- Multiplying by 100 scales the result to a percentage.
Why do we multiply by 100?
Because a percentage means “per hundred.” It’s a standardized way of comparing scores across different scales. For example, scoring 40 out of 50 and 80 out of 100 both result in 80%. This helps in fair comparison.
Other Examples:
- 45 out of 50
(4550)×100=90%\left( \frac{45}{50} \right) \times 100 = 90\%
- 72 out of 80
(7280)×100=90%\left( \frac{72}{80} \right) \times 100 = 90\%
- 30 out of 40
(3040)×100=75%\left( \frac{30}{40} \right) \times 100 = 75\%
Practical Uses:
Percentages are used in school exams, grading systems, job evaluations, bank interest rates, discounts in shopping, and many other areas. Mastering how to calculate percentages will help you in academics and everyday life.
Always remember:
(Obtained ÷ Total) × 100 = Percentage
It’s a simple yet powerful formula!