Question : The following table shows the marks (in percentages) obtained by six students in six different subjects in an examination. The maximum marks in each subject are 100.
Answer the following question based on the table: In which of the following subjects is the overall percentage the highest?
Option 1: Chemistry
Option 2: Geography
Option 3: History
Option 4: CS
Correct Answer: Geography
Solution : Given: Full marks = 100 Total subjects = 6 Total marks = 100 × 6 = 600 Marks obtained in CS = 95 + 90 + 80 + 85 + 80 + 90 = 520 Required percentage = $\frac{\text{marks obtained}}{\text{Total marks}}\times100$ = $\frac{520}{600}\times100=86.66$% Marks obtained in Physics = 65 + 70 + 80 + 90 + 95 + 90 = 490 Required percentage = $\frac{\text{marks obtained}}{\text{Total marks}}\times100$ = $\frac{490}{600}\times100=81.66$% Marks obtained in Chemistry = 90 + 75 + 65 + 85 + 95 + 90 = 500 Required percentage = $\frac{\text{marks obtained}}{\text{Total marks}}\times100$ = $\frac{500}{600}\times100=83.33$% Marks obtained in Maths = 70 + 75 + 70 + 75 + 85 + 95 = 470 Required percentage = $\frac{\text{marks obtained}}{\text{Total marks}}\times100$ = $\frac{470}{600}\times100=78.33$% Marks obtained in History = 70 + 85 + 90 + 90 + 90 + 90 = 515 Required percentage = $\frac{\text{marks obtained}}{\text{Total marks}}\times100$ = $\frac{515}{600}\times100=85.83$% Marks obtained in Geography = 80 + 85 + 95 + 95 + 95 + 90 = 540 Required percentage = $\frac{\text{marks obtained}}{\text{Total marks}}\times100$ = $\frac{540}{600}\times100=90$% The overall percentage is highest in geography. Hence, the correct answer is Geography.
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