If 15% of x is three times of 10% of y, then x : y =
यदि का 15%, y के 10% का तिगुना है, तो x : y किसके बराबर होगा?

Options

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

Explanation

To solve the problem, we need to establish the relationship between \( x \) and \( y \) based on the information given.

### Step-by-Step Solution:

1. **Understand the given information**:
We know that \( 15\% \) of \( x \) is equal to \( 3 \) times \( 10\% \) of \( y \). We can express this mathematically as:
\[ 0.15x = 3 \times 0.10y \]

2. **Simplify the equation**:
We can simplify the right side of the equation:
\[ 0.15x = 0.30y \]

3. **Rearranging the equation**:
To find the ratio \( \frac{x}{y} \), we can rearrange the equation:
\[ \frac{x}{y} = \frac{0.30}{0.15} \]

4. **Calculate the ratio**:
Now, we can simplify \( \frac{0.30}{0.15} \):
\[ \frac{0.30}{0.15} = 2 \]
Therefore, we have:
\[ \frac{x}{y} = 2 \quad \text{or} \quad x : y = 2 : 1 \]

5. **Final answer**:
The ratio \( x : y \) is \( 2 : 1 \).

### Conclusion:
Thus, the final answer is \( x : y = 2 : 1 \).