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If 15% of a number is 60, what is 25% of that same number?
100
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100
Use the unitary method: 15% corresponds to 60, so 1% corresponds to 60/15 = 4. Then 25% corresponds to 4 * 25 = 100.
15% of a number is 60. We need to find 25% of that same number.
x=0.1560тАЛ├Ч0.25
Use the unitary method: 15% corresponds to 60, so 1% corresponds to 60/15 = 4. Then 25% corresponds to 4 * 25 = 100.
Students often calculate the 100% value (400) and then try to derive the 25%, leading to unnecessary time loss or calculation errors.
Define the relationship
Let the number be x. Given that 15% of x=60, we write the equation as 0.15x=60.
0.15x=60
Solve for the target percentage
Instead of solving for x completely, express 25% of x as a direct proportion relative to the known 15% value: 25%=(60/0.15)├Ч0.25.
Result=1560тАЛ├Ч25
Calculate the final value
Divide 60 by 15 to get 4, then multiply by 25 to arrive at the result.
4├Ч25=100
A is correct because 15% of the number represents 60, making 1% equal to 4, so 25% results in 100.
This unitary method is essential for Data Interpretation and Profit/Loss problems where comparing percentages of the same base value is frequent.
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