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In a test, B got 50 marks while A got 80 marks out of 110 maximum marks. What percentage of A's marks were B's marks? 6007
110%
160%
72.73%
62.5%
62.5%
Express B's marks as a fraction of A's marks: 50/80 = 5/8. Knowing that 1/8 is 12.5%, multiply 12.5 by 5 to get 62.5%.
A's marks = 80, B's marks = 50, Maximum marks = 110.
Percentage=(ReferenceValueValueтАЛ)├Ч100
Express B's marks as a fraction of A's marks: 50/80 = 5/8. Knowing that 1/8 is 12.5%, multiply 12.5 by 5 to get 62.5%.
Many students mistakenly calculate B's percentage relative to the maximum marks (110) instead of relative to A's marks (80).
Identify the base value
The question asks for the percentage of A's marks, so A's marks (80) serve as the base (denominator).
Base=80
Apply the percentage formula
Substitute B's marks (50) and A's marks (80) into the percentage formula.
Percentage=(8050тАЛ)├Ч100
Perform the calculation
Simplify the fraction 8050тАЛ to 0.625 and multiply by 100 to get the final percentage.
0.625├Ч100=62.5%
D is correct because 50 is exactly 62.5% of 80.
This type of ratio comparison is a foundational skill for Data Interpretation (DI) questions where comparing values across bar charts or tables is frequent.
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