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In a class, A got 60 marks and B got 40 marks out of 80 maximum marks. What percentage of A's marks were B's marks?
60%
66.67%
75%
50%
66.67%
Express the marks as a ratio: 40/60 = 2/3. Since 1/3 is approximately 33.33%, 2/3 is 66.67%.
A's marks = 60, B's marks = 40. The maximum marks (80) is extra information.
Percentage=(WholePartтАЛ)├Ч100
Express the marks as a ratio: 40/60 = 2/3. Since 1/3 is approximately 33.33%, 2/3 is 66.67%.
Many students mistakenly include the maximum marks (80) in the denominator, calculating 40/80 = 50%, ignoring the specific wording 'of A's marks'.
Identify the Base
The question asks what percentage of A's marks are B's marks, so A's marks (60) act as the denominator (the base) and B's marks (40) act as the numerator.
Required=AтАЩs┬аmarksBтАЩs┬аmarksтАЛ├Ч100
Substitute Values
Plug in the values 40 for B and 60 for A into the equation.
6040тАЛ├Ч100
Final Calculation
Simplify the fraction 6040тАЛ to 32тАЛ and calculate the percentage value.
32тАЛ├Ч100=66.67%
B is correct because the ratio of 40 to 60 is 2/3, which converts to approximately 66.67%.
Always identify the 'base' value (the term following 'of') in percentage problems to avoid inverted fractions; it is the denominator.
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