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A student scored 72 marks out of 80 in Science and 88 marks out of 100 in Mathematics. What is the overall percentage of marks obtained?
88.8%
82.2%
85.5%
80.0%
88.8%
Observe that 72/80 simplifies to 9/10 or 90%. Since 88/100 is 88%, the overall average must be between 88% and 90%.
Science: 72 marks obtained out of 80; Mathematics: 88 marks obtained out of 100.
Percentage=(Total┬аMaximum┬аMarksTotal┬аMarks┬аObtainedтАЛ)├Ч100
Observe that 72/80 simplifies to 9/10 or 90%. Since 88/100 is 88%, the overall average must be between 88% and 90%.
Students often add the two percentages (90% + 88% = 178%) and divide by 2, which is mathematically incorrect because the total marks for the subjects are different.
Calculate Total Marks Obtained
Add the marks scored in Science and Mathematics: 72+88=160.
160
Calculate Total Maximum Marks
Add the maximum possible marks for both subjects: 80+100=180.
180
Calculate Final Percentage
Apply the percentage formula: 180160тАЛ├Ч100.
180160тАЛ├Ч100=98тАЛ├Ч100=88.88%
A is correct because the calculated overall percentage is approximately 88.8%.
This concept is vital for calculating 'weighted averages' in Data Interpretation (DI) sets, where total values across different categories must be consolidated.
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