If 20% of x = y, then y% of 20 is same as __________.

Options

A. `(x)/(25)`
B. x
C. `(x)/(2)`
D. None of these

Answer

To solve the equation \(20\% \text{ of } x = y\) and find what \(y\% \text{ of } 20\) is equal to, we can follow these steps:

### Step 1: Express \(y\) in terms of \(x\)
From the equation \(20\% \text{ of } x = y\), we can write it as:
\[ y = \frac{20}{100} \times x = \frac{1}{5} \times x \]

### Step 2: Find \(y\%\) of 20
Now, we need to find \(y\%\) of 20. This can be expressed as:
\[ y\% \text{ of } 20 = \frac{y}{100} \times 20 \]

### Step 3: Substitute the value of \(y\)
Substituting the expression for \(y\) from Step 1 into the equation from Step 2:
\[ y\% \text{ of } 20 = \frac{\frac{1}{5} \times x}{100} \times 20 \]

### Step 4: Simplify the expression
Now, simplify the expression:
\[ y\% \text{ of } 20 = \frac{1}{5} \times \frac{20}{100} \times x = \frac{20}{500} \times x = \frac{1}{25} \times x \]

### Final Answer
Thus, \(y\% \text{ of } 20\) is the same as \(\frac{x}{25}\).

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