Question

Sumit obtained 225 marks out of 350 and Sunny obtained 240 marks out of 380 in a test. Whose performance is better in the test?

Answer 1

Hint: The percentage of marks in a test is obtained as given marks divided by the total marks and then multiply the result with 100. From this calculation their percentages and after calculating the person with the highest percentage is the better performer in the test.

Complete step-by-step solution:
From the problem, it is given that,
Marks got by Sumit in a test = 225
Total marks for the Sumit’s test =350
Marks got by Sunny in a test = 240
Total marks for the Sunny’s test = 380
Now to know the best performer in the test we have to calculate their percentages.
Percentage of Sumit got in test = \[\left( \dfrac{Marks\text{ }got\text{ }in\text{ }the\text{ }test}{Total\text{ }marks\text{ }for\text{ }the\text{ }test} \right)\]$\times 100$
Percentage of Sumit got in test = \[\left( \dfrac{225}{350} \right)\times 100\]
Percentage of Sumit got in test = \[\left( \dfrac{45}{70} \right)\times 100\]
Percentage of Sumit got in test = \[\dfrac{9}{14}\times 100\]
Percentage of Sumit got in test =$0.6428\times 100$
Percentage of Sumit got in test =$64.28\%$
Similarly, we should calculate the percentage of Sunny.
Percentage of Sunny got in test =\[\left( \dfrac{Marks\text{ }got\text{ }in\text{ }the\text{ }test}{Total\text{ }marks\text{ }for\text{ }the\text{ }test} \right)\]$\times 100$
Percentage of Sunny got in test = \[\left( \dfrac{240}{380} \right)\times 100\]
Percentage of Sunny got in test = \[\left( \dfrac{12}{19} \right)\times 100\]
Percentage of Sunny got in test =$0.6315\times 100$
Percentage of Sunny got in test =\[63.15\%\]
Here the Sumit percentage in the test is more than the Sunny percentage in the test.
Therefore, Sumit performs better than Sunny in the test.

Note: Students may wrong while calculating percentage that is we should take only the total marks in the denominator part. And also after calculating the percentage we must denote the value with the symbol “%” so that it is called a percentage. And then comparing both the percentages we can know who is the better performer.