Question

Arman scored 32 marks out of 50 marks in Social Studies. He scored 25 marks out of the 40 marks in English. In which subject did he perform better?
A. Social Studies
B. English
C. None of these
D. Both A and B

Answer 1

Hint: Percentage formula is used to find the amount or share of something in terms of 100. In its simplest form, percent means per hundred. To express a number between zero and one, a percentage formula is used. It is defined as a number represented as a fraction of 100. Denoted by the symbol = %, the percentage is majorly used to compare and find out ratios.

Formula used: The Percentage Formula is given as,
$Percentage = \left( {\dfrac{{Value}}{{Total\;Value}}} \right)\times100 \ldots \ldots \ldots (1)$
Now, calculate the % of marks by dividing the marks you received by total number of marks and multiplying with 100.

Complete step-by-step answer:
Lets calculate the social studies and English marks in percentage.
For Social Studies:-
Marks scored:- 32 marks
Total Marks:- 50 marks
By using formulae (1)
$
  Percentage\;in\;social\;studies = \left( {\dfrac{{32}}{{50}}} \right)\times100 \\
   = \left( {\dfrac{{16}}{{25}}} \right)\times100 = 16\times4 = 64\% \ldots \ldots \ldots \ldots (2) \\
 $
For English:-
Marks scored:- 25 marks
Total Marks:- 40 marks
By using formulae (1)
$
  Percentage\;in\;english = \left( {\dfrac{{25}}{{40}}} \right)\times100 \\
   = \left( {\dfrac{5}{8}} \right)\times100 = 5\times12.5 = 62.5\% \; \ldots \ldots \ldots \ldots (3) \\
 $
When we compare the equation (2) and (3), the value of social studies is more. So, he performed better in social studies.

So, the correct answer is “Option A”.

Note: Check the total marks of both the subjects if they are the same so no need to calculate the percentage. If the total marks are different calculate the percentage to compare the marks.