Question

Neha scored \[75\% \]in science, \[95\% \]in Mathematics and\[70\% \]in English. If the maximum marks in these subjects were 80, 100 and 70 respectively, find her aggregate percentage.

Answer 1

Hint:Find the marks obtained in all the subjects by using the formula \[a \times
\dfrac{b}{{100}} = c\], where $a$ is the number whose percentage to be found and $b$ is the
percentage use-value
Then add all the obtained marks and the total marks in each subject separately and then find the aggregate percentage

Complete step by step solution:
Given,The percentage of marks obtained by Neha in science\[ = 75\% \]

Now since the maximum marks in science subject is 80, so the marks obtained by Neha out of 80 in the science subject will be\[ = 75\% of80 = \dfrac{{75}}{{100}} \times 80 = 60marks\]

Now the percentage of marks obtained by Neha in mathematics\[ = 95\% \]

Now since the maximum marks in mathematics subject is 100, so the marks obtained by Neha out of 100 in the mathematics subject will be\[ = 95\% of100 = \dfrac{{95}}{{100}} \times 100 =
95marks\]

Now the percentage of marks obtained by Neha in English\[ = 70\% \]

Now since the maximum marks in English subject is 70, so the marks obtained by Neha out of 70 in the English subject will be\[ = 70\% of70 = \dfrac{{70}}{{100}} \times 70 = 49marks\]

Hence we can say a mark obtained by Neha in science is 60, in mathematics is 95 and in English is 49.
So the total marks obtained by Neha\[ = 60 + 95 + 49 = 204marks\]
Now since the maximum marks in the subject science is 80, in mathematics it is 100 and in English is 70.

So the total maximum marks of the three subjects\[ = 80 + 100 + 70 = 250marks\]

Hence the aggregate percentage of Neha will be\[ = \dfrac{{204}}{{250}} \times 100 = 81.6\%
\]

Note:Percentage of a number represents the ratio of the number as a part of 100. A percentage is converted into its decimal equivalent by multiplying the numerical value of percentage by 100.

Aggregate percentage is used to find the percentage of a particular set of data whereas Percentage is used to find percentage of all data.