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In a test, B got 60 marks while A got 75 marks. What percentage of A's marks was B's marks?
65%
75%
80%
60%
80%
Calculate the ratio 7560тАЛ by dividing both by 15 to get 54тАЛ, then multiply by 100 to get 4├Ч20=80%.
Marks obtained by B = 60, Marks obtained by A = 75.
Percentage=(AтАЩs┬аmarksBтАЩs┬аmarksтАЛ)├Ч100
Calculate the ratio 7560тАЛ by dividing both by 15 to get 54тАЛ, then multiply by 100 to get 4├Ч20=80%.
Students often calculate the percentage of A's marks with respect to B's marks, resulting in 6075тАЛ=125%, instead of the requested comparison.
Identify given values
We are given that student B obtained 60 marks and student A obtained 75 marks.
MarksBтАЛ=60,MarksAтАЛ=75
Set up the percentage fraction
To find what percentage B's marks are of A's marks, divide B's marks by A's marks and multiply by 100.
\text{Required %} = \frac{60}{75} \times 100
Simplify and Calculate
Simplify the fraction 7560тАЛ by dividing numerator and denominator by 15 to get 54тАЛ, then multiply by 100.
54тАЛ├Ч100=4├Ч20=80%
C is correct because the ratio of B's marks to A's marks is 60/75=0.8, which is 80% when expressed as a percentage.
This concept of 'A as a percentage of B' is fundamental in Profit & Loss, where finding Profit/Loss percentage always requires comparison with the Cost Price (CP).
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