Please could you find the percentage of my marks? 428 out of six subjects, 359 out of five subjects?
The Correct Answer and Explanation is:
To calculate the percentage of your marks for both cases, we can use the basic formula for percentage:Percentage=(Obtained MarksTotal Marks)×100\text{Percentage} = \left( \frac{\text{Obtained Marks}}{\text{Total Marks}} \right) \times 100Percentage=(Total MarksObtained Marks)×100
Case 1: 428 Marks Out of 6 Subjects
To calculate the percentage when you have 428 marks out of six subjects, we first need to find the total marks available for six subjects. Since each subject is typically out of 100 marks, the total possible marks are:Total Marks=6×100=600\text{Total Marks} = 6 \times 100 = 600Total Marks=6×100=600
Now, to find the percentage:Percentage=(428600)×100=71.33%\text{Percentage} = \left( \frac{428}{600} \right) \times 100 = 71.33\%Percentage=(600428)×100=71.33%
So, your percentage for the first case is 71.33%.
Case 2: 359 Marks Out of 5 Subjects
Next, let’s calculate the percentage when you have 359 marks out of five subjects. The total marks for five subjects would be:Total Marks=5×100=500\text{Total Marks} = 5 \times 100 = 500Total Marks=5×100=500
Now, we calculate the percentage:Percentage=(359500)×100=71.8%\text{Percentage} = \left( \frac{359}{500} \right) \times 100 = 71.8\%Percentage=(500359)×100=71.8%
Thus, your percentage for the second case is 71.8%.
Explanation
The percentage is a way to express your marks as a fraction of the total possible marks. The formula is straightforward: you divide your obtained marks by the total marks and then multiply by 100 to get the percentage. In this case, the results show that in both scenarios, your performance is close to 71%, meaning you have done fairly well in both cases.
These calculations can help you assess your overall performance, and knowing how percentages work can also help in understanding your standing in class or in comparison with others.
