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If 20% of X = Y, then Y % of 20 is the same as :

Question

If 20% of X = Y, then Y % of 20 is the same as :

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Solution

Let's break down the problem step by step:

  1. We are given that 20% of X is equal to Y. This can be written as: 0.20 * X = Y.

  2. We need to find Y% of 20. To do this, we can first convert Y% to a decimal by dividing Y by 100. So, Y% can be written as: Y/100.

  3. Now, we can find Y% of 20 by multiplying Y/100 by 20. This can be written as: (Y/100) * 20.

  4. Since we know that 20% of X is equal to Y, we can substitute Y with 0.20 * X in the equation. So, (Y/100) * 20 becomes ((0.20 * X)/100) * 20.

  5. Simplifying the equation, we get: ((0.20 * X)/100) * 20 = (0.20 * X * 20)/100.

  6. Further simplifying, we get: (0.20 * X * 20)/100 = (0.20 * 20 * X)/100.

  7. Finally, simplifying the equation, we get: (0.20 * 20 * X)/100 = (4 * X)/100.

Therefore, Y% of 20 is the same as (4 * X)/100.

This problem has been solved

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