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If 15% of a number is 45, what is 25% of that number?
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75
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75
Use the ratio method: 15% is 45 (which is 3 times 15), so 25% will be 25 multiplied by 3, which equals 75.
15% of a number equals 45.
x=(PercentageValueтАЛ)├Ч100
Use the ratio method: 15% is 45 (which is 3 times 15), so 25% will be 25 multiplied by 3, which equals 75.
Many students calculate 15% of 45 instead of finding the original number first or using the direct ratio proportionality.
Define the relationship
Represent the number as x. We are given 15%├Чx=45.
0.15x=45
Find the value of the number
Divide 45 by 0.15 to isolate x.
x=0.1545тАЛ=300
Calculate 25% of the number
Find 25% of 300 by multiplying 300 by 0.25.
300├Ч0.25=75
B is correct because calculating 15% of a number as 45 leads to the base number 300, and 25% of 300 results in 75.
This proportional reasoning is the foundation for Profit and Loss, Mixture and Alligation, and Data Interpretation sections in competitive exams.
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