The number is 80. To find the number when 25% of it equals 20, we can set up a simple equation based on the information given. If we let the unknown number be represented as \( x \), then we can express 25% of \( x \) mathematically as \( 0.25x \). According to the problem, this expression is equal to 20. Therefore, we can write the equation as \( 0.25x = 20 \).
To solve for \( x \), we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.25. Mathematically, this looks like \( x = \frac{20}{0.25} \). When we perform the division, we find that \( x = 80 \). This means the number we were trying to find, for which 25% equals 20, is 80.
Understanding how to manipulate percentages and equations is crucial for competitive exams, as it often appears in various forms. In this case, identifying the relationship between the percentage and the whole number allows us to solve the problem efficiently. Mastery of such concepts will aid in quickly addressing similar questions in the future. Therefore, if 25% of a number is 20, then that number is indeed 80.
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