Question

Jyoti secured 35 marks out of 50 in English and 25 marks out of 30 in Mathematics. In which subject did she get better marks and by how much?

Answer 1

Hint: Use the formula of percentage which is: 100 multiplied by the ratio of marks obtained and total marks, to calculate the percentage of both the subjects. The subject in which Jyoti obtained more percentage, will be the subject in which she got better marks.

Complete step-by-step answer:
In mathematics, a percentage is a number or ratio expressed as a fraction of 100. A percentage is a dimensionless number or we can say a percentage is a pure number.
Now, let us come to the question. It is given that Jyoti obtained 35 marks out of 50 marks in English and in Mathematics, she obtained 25 marks in a total of 30 marks. Let us calculate her percentage in both the subjects.

We know that, percentage $=\dfrac{\text{marks obtained}}{\text{total marks}}$. Therefore,
Percentage of marks Jyoti obtained in English $=\dfrac{35}{50}\times 100$ $=70$,
Also, the percentage of marks she obtained in Mathematics $=\dfrac{25}{30}\times 100$.

Now, the percentage she obtained in both the subjects indicates her marks out of 100. Although the maximum marks of the subject was not 100, the percentage gave us an idea about the marks she would get if the maximum marks of the subject would have been 100. According to our calculations, she would have obtained 70 marks in English and 83.33 marks in Mathematics out of 100.

Therefore, she obtained better marks in Mathematics by a difference of 13.33 marks out of 100.

Note: One can make a mistake by simply judging the outer marks. She obtained 35 marks in English and 25 marks in Mathematics, that doesn’t mean she got better marks in English because the total marks of two subjects were different. Therefore, we used the concept of percentage to get a better idea.