If 16% of x = 48% of y, then x:y will be -

Options

A. `3:1`
B. `1:3`
C. `2:3`
D. `3:2`

Answer

To solve the equation \( 16\% \) of \( x = 48\% \) of \( y \), we can follow these steps:

### Step 1: Write the equation in terms of fractions
We can express the percentages as fractions:
\[ \frac{16}{100} \cdot x = \frac{48}{100} \cdot y \]

### Step 2: Simplify the equation
We can simplify the equation by multiplying both sides by \( 100 \) to eliminate the denominators:
\[ 16x = 48y \]

### Step 3: Rearrange the equation to find the ratio
Now, we can rearrange the equation to express \( x \) in terms of \( y \):
\[ \frac{x}{y} = \frac{48}{16} \]

### Step 4: Simplify the ratio
Now, we can simplify \( \frac{48}{16} \):
\[ \frac{48}{16} = 3 \]
Thus, we have:
\[ \frac{x}{y} = 3 \quad \text{or} \quad x:y = 3:1 \]

### Final Answer
The ratio \( x:y \) is \( 3:1 \).

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