Question

Disha scored $ 35 $ marks in Geography, $ 32 $ marks in History, $ 29 $ marks in Science, $ 40 $ marks in Mathematics, $ 36 $ marks in English and $ 33 $ marks in Hindi. The maximum marks in each subject are $ 50 $ . What is Disha’s approximate percentage?
(A) $ 68 $
(B) $ 63 $
(C) $ 58 $
(D) $ 53 $

Answer 1

Hint: To find the percentage of marks, we first calculate the sum of marks obtained in each subject and then divide sum so obtained by total number of marks in all subjects and multiply the result so obtained by $ 100 $ to get the required percentage of marks.

Complete step-by-step answer:
Marks scored by Disha in various subjects are given as:
Marks in Geography = $ 35 $
Marks in History = $ 32 $
Marks in Science = $ 29 $
Marks in Mathematics = $ 40 $
Marks in English = $ 36 $
Marks in Hindi = $ 33 $
And maximum marks in each subject are $ 50 $ .
Now, to calculate the approximate percentage of Disha. We first find the sum of the marks obtained by Disha in all subjects and then divide it by the sum of total marks out of which she got marks in different subjects.
 $ \Rightarrow $ Sum of marks in all subjects = $ 35 + 32 + 29 + 40 + 36 + 33 $
 $ = 205 $
Now, sum of total marks = $ 50 + 50 + 50 + 50 + 50 + 50 $
 $ = 300 $
To find the percentage we divide the sum of marks by total and then multiply the result by $ 100 $ .
Percentage of marks = $ \dfrac{{205}}{{300}} \times 100 $
 $
   = \dfrac{{205}}{3} \\
   = 68.33\% \\
  $
Hence, from above we see that percentage of marks obtained by Disha in various subjects is $ 68.33\% $

Note: Students must be careful while doing percentage problems as they consider percentage as average problems and divide the sum of marks obtained in subjects by the number of subjects which results in wrong answers. Hence, the percentage sum of marks obtained must be divided by sum of total marks not by number of marks.